From 643c7cdbf67b69408c8ac4ff1e8d618a7255a1a7 Mon Sep 17 00:00:00 2001
From: Amira Abdel-Rahman <aabdelrahman@gsd.harvard.edu>
Date: Mon, 21 Jun 2021 06:22:38 -0400
Subject: [PATCH] structural dynamics validation
---
demos/indexTutorialGraph.html | 10 +-
json/newTendon.json | 4048 +++
json/newTendon/0.json | 1 +
json/newTendon/1.json | 1 +
json/newTendon/10.json | 1 +
json/newTendon/11.json | 1 +
json/newTendon/12.json | 1 +
json/newTendon/13.json | 1 +
json/newTendon/14.json | 1 +
json/newTendon/15.json | 1 +
json/newTendon/16.json | 1 +
json/newTendon/17.json | 1 +
json/newTendon/18.json | 1 +
json/newTendon/19.json | 1 +
json/newTendon/2.json | 1 +
json/newTendon/20.json | 1 +
json/newTendon/21.json | 1 +
json/newTendon/22.json | 1 +
json/newTendon/23.json | 1 +
json/newTendon/24.json | 1 +
json/newTendon/25.json | 1 +
json/newTendon/26.json | 1 +
json/newTendon/27.json | 1 +
json/newTendon/28.json | 1 +
json/newTendon/29.json | 1 +
json/newTendon/3.json | 1 +
json/newTendon/30.json | 1 +
json/newTendon/31.json | 1 +
json/newTendon/32.json | 1 +
json/newTendon/33.json | 1 +
json/newTendon/34.json | 1 +
json/newTendon/35.json | 1 +
json/newTendon/36.json | 1 +
json/newTendon/37.json | 1 +
json/newTendon/38.json | 1 +
json/newTendon/39.json | 1 +
json/newTendon/4.json | 1 +
json/newTendon/40.json | 1 +
json/newTendon/41.json | 1 +
json/newTendon/42.json | 1 +
json/newTendon/43.json | 1 +
json/newTendon/44.json | 1 +
json/newTendon/45.json | 1 +
json/newTendon/46.json | 1 +
json/newTendon/47.json | 1 +
json/newTendon/48.json | 1 +
json/newTendon/5.json | 1 +
json/newTendon/6.json | 1 +
json/newTendon/7.json | 1 +
json/newTendon/8.json | 1 +
json/newTendon/9.json | 1 +
json/newTendonInit.json | 1 +
json/tutorial.json | 22015 +---------------
json/tutorialInit.json | 2 +-
julia/MetaVoxels.jl | 1 +
julia/examples/CAD_Rhino/dynamicVal.3dm | Bin 0 -> 3475335 bytes
julia/examples/CAD_Rhino/dynamicVal.gh | Bin 0 -> 8054 bytes
julia/examples/dynamicVal.jl | 213 +
julia/examples/singleDOF.jl | 180 +
julia/examples/tendon.jl | 4 +-
julia/include/beamFEA.jl | 53 +-
julia/include/plotViz.jl | 85 +-
julia/include/run.jl | 80 +-
julia/include/updateEdges.jl | 3 +-
julia/include/updateNodes.jl | 1 -
julia/include/updateTendons.jl | 72 +
...ctural Dynamics Validation (Tendons).ipynb | 9113 +++++++
jupyter/Structural Dynamics Validation.ipynb | 5078 ++++
jupyter/Validation and Convergence.ipynb | 4 +-
69 files changed, 19732 insertions(+), 21280 deletions(-)
create mode 100644 json/newTendon.json
create mode 100644 json/newTendon/0.json
create mode 100644 json/newTendon/1.json
create mode 100644 json/newTendon/10.json
create mode 100644 json/newTendon/11.json
create mode 100644 json/newTendon/12.json
create mode 100644 json/newTendon/13.json
create mode 100644 json/newTendon/14.json
create mode 100644 json/newTendon/15.json
create mode 100644 json/newTendon/16.json
create mode 100644 json/newTendon/17.json
create mode 100644 json/newTendon/18.json
create mode 100644 json/newTendon/19.json
create mode 100644 json/newTendon/2.json
create mode 100644 json/newTendon/20.json
create mode 100644 json/newTendon/21.json
create mode 100644 json/newTendon/22.json
create mode 100644 json/newTendon/23.json
create mode 100644 json/newTendon/24.json
create mode 100644 json/newTendon/25.json
create mode 100644 json/newTendon/26.json
create mode 100644 json/newTendon/27.json
create mode 100644 json/newTendon/28.json
create mode 100644 json/newTendon/29.json
create mode 100644 json/newTendon/3.json
create mode 100644 json/newTendon/30.json
create mode 100644 json/newTendon/31.json
create mode 100644 json/newTendon/32.json
create mode 100644 json/newTendon/33.json
create mode 100644 json/newTendon/34.json
create mode 100644 json/newTendon/35.json
create mode 100644 json/newTendon/36.json
create mode 100644 json/newTendon/37.json
create mode 100644 json/newTendon/38.json
create mode 100644 json/newTendon/39.json
create mode 100644 json/newTendon/4.json
create mode 100644 json/newTendon/40.json
create mode 100644 json/newTendon/41.json
create mode 100644 json/newTendon/42.json
create mode 100644 json/newTendon/43.json
create mode 100644 json/newTendon/44.json
create mode 100644 json/newTendon/45.json
create mode 100644 json/newTendon/46.json
create mode 100644 json/newTendon/47.json
create mode 100644 json/newTendon/48.json
create mode 100644 json/newTendon/5.json
create mode 100644 json/newTendon/6.json
create mode 100644 json/newTendon/7.json
create mode 100644 json/newTendon/8.json
create mode 100644 json/newTendon/9.json
create mode 100644 json/newTendonInit.json
create mode 100644 julia/examples/CAD_Rhino/dynamicVal.3dm
create mode 100644 julia/examples/CAD_Rhino/dynamicVal.gh
create mode 100644 julia/examples/dynamicVal.jl
create mode 100644 julia/examples/singleDOF.jl
create mode 100644 julia/include/updateTendons.jl
create mode 100644 jupyter/Structural Dynamics Validation (Tendons).ipynb
create mode 100644 jupyter/Structural Dynamics Validation.ipynb
diff --git a/demos/indexTutorialGraph.html b/demos/indexTutorialGraph.html
index f38fbae..483cff6 100644
--- a/demos/indexTutorialGraph.html
+++ b/demos/indexTutorialGraph.html
@@ -27,6 +27,9 @@
var color5="#380152"; //purple
var color6="#696767"; //grey
var color7="#03dbfc"; //blue
+
+ var name="tutorial";
+ var name="newTendon";
var scale,nodeScale;
@@ -39,10 +42,11 @@
gui.add(interaction,'exaggeration',0.0,10.0).listen();
gui.add(interaction,'speed',0.0,200.0).listen();
+
- $.getJSON("../json/tutorial/0.json", function(json0) {
+ $.getJSON("../json/"+name+"/0.json", function(json0) {
var maxNumFiles=json0.maxNumFiles-1;
- $.getJSON("../json/tutorial/"+maxNumFiles+".json", function(json) {
+ $.getJSON("../json/"+name+"/"+maxNumFiles+".json", function(json) {
var setup=json;
var static=false
setup.viz.colorMaps=[YlGnBu,coolwarm, winter ,jet];
@@ -184,7 +188,7 @@
}else{ //dynamic
for(let i=0;i<maxNumFiles;i++){
- $.getJSON("../json/tutorial/"+i+".json", function(jsons) {
+ $.getJSON("../json/"+name+"/"+i+".json", function(jsons) {
var setups=jsons;
for(let j=0;j<setups.nodes.length;j++){
gData.nodes[j].dxs[i]=setups.nodes[j].displacement.x*scale;
diff --git a/json/newTendon.json b/json/newTendon.json
new file mode 100644
index 0000000..71cdd8e
--- /dev/null
+++ b/json/newTendon.json
@@ -0,0 +1,4048 @@
+{
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+ "degrees_of_freedom": [
+ 0,
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+ 2,
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+ ],
+ "restrained_degrees_of_freedom": [
+ false,
+ false,
+ false,
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+ true,
+ true
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+ "position": {
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+ "material": {
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+ "area": 5.6644,
+ "stiffness": 2000
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+ "nomSize": 1
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+ {
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+ "parent": "11",
+ "degrees_of_freedom": [
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+ 8,
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+ 11
+ ],
+ "restrained_degrees_of_freedom": [
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+ {
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+{"setup":{"rhinoFileName":"../julia/examples/CAD_Rhino/tendon.3dm","poisson":false,"layerIndex":["1","2","3","4","5","6","7"],"materials":[[{"max":{"x":750,"z":750,"y":750},"min":{"x":-750,"z":-750,"y":-750}},{"cTE":0.0,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000.0}]],"rhino":true,"latticeSizeY":1,"scale":0.5,"supports":[[{"max":{"x":18.75,"z":84.375,"y":84.375},"min":{"x":-18.75,"z":-9.375,"y":-9.375}},[true,true,true,true,true,true]]],"thermal":true,"loads":[],"maxNumFiles":50,"voxelSize":75,"numTimeSteps":80000,"materialList":[{"cTE":0.0,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000.0},{"cTE":0.0,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":500.0},{"cTE":0.392,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000},{"cTE":0.21,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000},{"cTE":0.013999999999999999,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000},{"cTE":0.11199999999999999,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000},{"cTE":0.06999999999999999,"poissonRatio":0.35,"density":0.028,"area":5.6644,"stiffness":2000}],"linear":true,"fixedDisplacements":[],"latticeSizeX":1,"gridSize":10,"latticeSizeZ":1,"useVoxelList":false,"hierarchical":false,"globalDamping":0,"useMaterialList":true}}
\ No newline at end of file
diff --git a/json/tutorial.json b/json/tutorial.json
index b45db21..c3db639 100644
--- a/json/tutorial.json
+++ b/json/tutorial.json
@@ -13,17 +13,17 @@
5
],
"restrained_degrees_of_freedom": [
- true,
- true,
- true,
+ false,
+ false,
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true
],
"position": {
- "x": 0.014499999999999999,
- "y": 0.004500000000000004,
- "z": 0.003500000000000003
+ "x": 0,
+ "y": 0.9750000000000005,
+ "z": 0
},
"force": {
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@@ -48,9 +48,9 @@
"material": {
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"poissonRatio": 0,
- "density": 1000,
- "area": 0.000001,
- "stiffness": 1000000
+ "density": 2700,
+ "area": 0.0001,
+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -66,20 +66,20 @@
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],
"restrained_degrees_of_freedom": [
- true,
- true,
- true,
+ false,
+ false,
+ false,
true,
true,
true
],
"position": {
- "x": 0.0155,
- "y": 0.004500000000000004,
- "z": 0.003500000000000003
+ "x": 0,
+ "y": 1,
+ "z": 0
},
"force": {
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+ "x": 20,
"y": 0,
"z": 0
},
@@ -101,9 +101,9 @@
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"poissonRatio": 0,
- "density": 1000,
- "area": 0.000001,
- "stiffness": 1000000
+ "density": 2700,
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -119,17 +119,17 @@
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],
"restrained_degrees_of_freedom": [
- true,
- true,
- true,
+ false,
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],
"position": {
- "x": 0.0165,
- "y": 0.004500000000000004,
- "z": 0.003500000000000003
+ "x": 0,
+ "y": 0.9500000000000005,
+ "z": 0
},
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"x": 0,
@@ -154,9 +154,9 @@
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"poissonRatio": 0,
- "density": 1000,
- "area": 0.000001,
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+ "density": 2700,
+ "area": 0.0001,
+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -172,17 +172,17 @@
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"restrained_degrees_of_freedom": [
- true,
- true,
- true,
+ false,
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],
"position": {
- "x": 0.0175,
- "y": 0.004500000000000004,
- "z": 0.003500000000000003
+ "x": 0,
+ "y": 0.9250000000000005,
+ "z": 0
},
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@@ -207,9 +207,9 @@
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"poissonRatio": 0,
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+ "density": 2700,
+ "area": 0.0001,
+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -225,17 +225,17 @@
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"restrained_degrees_of_freedom": [
- true,
- true,
- true,
+ false,
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],
"position": {
- "x": 0.018500000000000003,
- "y": 0.004500000000000004,
- "z": 0.003500000000000003
+ "x": 0,
+ "y": 0.9000000000000005,
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"x": 0,
@@ -260,9 +260,9 @@
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"poissonRatio": 0,
- "density": 1000,
- "area": 0.000001,
- "stiffness": 1000000
+ "density": 2700,
+ "area": 0.0001,
+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -278,17 +278,17 @@
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"restrained_degrees_of_freedom": [
- true,
- true,
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true
],
"position": {
- "x": 0.014499999999999999,
- "y": 0.004500000000000004,
- "z": 0.004500000000000004
+ "x": 0,
+ "y": 0.8750000000000004,
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},
"force": {
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@@ -313,9 +313,9 @@
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+ "density": 2700,
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -331,17 +331,17 @@
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"restrained_degrees_of_freedom": [
- true,
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true
],
"position": {
- "x": 0.0155,
- "y": 0.004500000000000004,
- "z": 0.004500000000000004
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@@ -366,9 +366,9 @@
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- "area": 0.000001,
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+ "density": 2700,
+ "area": 0.0001,
+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -384,17 +384,17 @@
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"restrained_degrees_of_freedom": [
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- true,
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+ false,
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],
"position": {
- "x": 0.0165,
- "y": 0.004500000000000004,
- "z": 0.004500000000000004
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@@ -419,9 +419,9 @@
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+ "density": 2700,
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+ "stiffness": 69000000000
},
"nomSize": 1
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@@ -437,17 +437,17 @@
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"restrained_degrees_of_freedom": [
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"position": {
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- "y": 0.004500000000000004,
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@@ -472,9 +472,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -490,17 +490,17 @@
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"restrained_degrees_of_freedom": [
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"position": {
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- "y": 0.004500000000000004,
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@@ -525,9 +525,9 @@
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"nomSize": 1
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@@ -543,17 +543,17 @@
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@@ -578,9 +578,9 @@
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+ "density": 2700,
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -596,17 +596,17 @@
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],
"restrained_degrees_of_freedom": [
- true,
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true
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"position": {
- "x": 0.0155,
- "y": 0.004500000000000004,
- "z": 0.005500000000000005
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@@ -631,9 +631,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -649,17 +649,17 @@
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"restrained_degrees_of_freedom": [
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@@ -684,9 +684,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -702,17 +702,17 @@
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"position": {
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- "y": 0.004500000000000004,
- "z": 0.005500000000000005
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@@ -737,9 +737,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -755,17 +755,17 @@
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"restrained_degrees_of_freedom": [
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@@ -790,9 +790,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -808,17 +808,17 @@
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],
"restrained_degrees_of_freedom": [
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@@ -843,9 +843,9 @@
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+ "stiffness": 69000000000
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"nomSize": 1
},
@@ -861,17 +861,17 @@
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"restrained_degrees_of_freedom": [
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@@ -896,9 +896,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -914,17 +914,17 @@
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"restrained_degrees_of_freedom": [
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- "y": 0.004500000000000004,
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+ "y": 0.5750000000000002,
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@@ -949,9 +949,9 @@
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"nomSize": 1
},
@@ -967,17 +967,17 @@
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@@ -1002,9 +1002,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -1020,17 +1020,17 @@
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],
"restrained_degrees_of_freedom": [
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@@ -1055,9 +1055,9 @@
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"nomSize": 1
},
@@ -1073,17 +1073,17 @@
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],
"restrained_degrees_of_freedom": [
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@@ -1108,9 +1108,9 @@
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"nomSize": 1
},
@@ -1126,17 +1126,17 @@
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"restrained_degrees_of_freedom": [
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@@ -1161,9 +1161,9 @@
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"nomSize": 1
},
@@ -1179,17 +1179,17 @@
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],
"restrained_degrees_of_freedom": [
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@@ -1214,9 +1214,9 @@
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+ "stiffness": 69000000000
},
"nomSize": 1
},
@@ -1232,17 +1232,17 @@
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],
"restrained_degrees_of_freedom": [
- true,
- true,
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true,
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],
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- "x": 0.0175,
- "y": 0.004500000000000004,
- "z": 0.007500000000000007
+ "x": 0,
+ "y": 0.4250000000000001,
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@@ -1267,9 +1267,9 @@
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+ "density": 2700,
+ "area": 0.0001,
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},
"nomSize": 1
},
@@ -1285,17 +1285,17 @@
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"restrained_degrees_of_freedom": [
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@@ -1320,9 +1320,9 @@
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@@ -1346,9 +1346,9 @@
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@@ -1373,9 +1373,9 @@
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@@ -1399,9 +1399,9 @@
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@@ -1426,9 +1426,9 @@
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@@ -1452,9 +1452,9 @@
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@@ -1479,9 +1479,9 @@
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@@ -1505,9 +1505,9 @@
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"force": {
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@@ -1532,9 +1532,9 @@
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true
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\ No newline at end of file
+{"setup":{"rhinoFileName":"../julia/examples/CAD_Rhino/dynamicVal.3dm","poisson":false,"layerIndex":"8","materials":[[{"max":{"x":10,"z":10,"y":10},"min":{"x":-10,"z":-10,"y":-10}},{"cTE":0.0,"poissonRatio":0.0,"density":2700,"area":0.0001,"stiffness":69000000000}]],"rhino":true,"latticeSizeY":1,"scale":20,"supports":[[{"max":{"x":1.5,"z":1.5,"y":0.01},"min":{"x":-0.5,"z":-0.5,"y":-0.5}},[true,true,true,true,true,true]]],"thermal":false,"loads":[[{"max":{"x":1.5,"z":1.5,"y":1.5},"min":{"x":-0.5,"z":-0.5,"y":0.99}},{"x":20.0,"z":0.0,"y":0.0}]],"maxNumFiles":1200,"voxelSize":1,"numTimeSteps":3.0e6,"fixedDisplacements":[],"linear":true,"latticeSizeX":1,"gridSize":10,"latticeSizeZ":1,"useVoxelList":false,"hierarchical":false,"globalDamping":0.0001}}
\ No newline at end of file
diff --git a/julia/MetaVoxels.jl b/julia/MetaVoxels.jl
index ae6fa06..1b848b1 100644
--- a/julia/MetaVoxels.jl
+++ b/julia/MetaVoxels.jl
@@ -15,6 +15,7 @@ include("./include/run.jl") #turn setup to cuda arrays and run simulation
include("./include/updateEdges.jl") #edges properties update
include("./include/externalForces.jl") #external forces applied to the system
include("./include/forces.jl") #force integration
+include("./include/updateTendons.jl") #nodes properties update
include("./include/updateNodes.jl") #nodes properties update
include("./include/beamFEA.jl") #solve problem with FEA
diff --git a/julia/examples/CAD_Rhino/dynamicVal.3dm b/julia/examples/CAD_Rhino/dynamicVal.3dm
new file mode 100644
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diff --git a/julia/examples/CAD_Rhino/dynamicVal.gh b/julia/examples/CAD_Rhino/dynamicVal.gh
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diff --git a/julia/examples/dynamicVal.jl b/julia/examples/dynamicVal.jl
new file mode 100644
index 0000000..5e3e38d
--- /dev/null
+++ b/julia/examples/dynamicVal.jl
@@ -0,0 +1,213 @@
+# Amira Abdel-Rahman
+# (c) Massachusetts Institute of Technology 2020
+
+##
+######################### 1. Voxel Design ###########################
+setup = Dict()
+
+### 1.b Draw Lattice
+
+rhino=true
+
+voxelSize=1
+latticeSizeX=1
+latticeSizeY=1
+latticeSizeZ=1
+
+gridSize=10
+
+setup["gridSize"]=gridSize
+
+setup["rhino"]=rhino
+setup["rhinoFileName"]="../julia/examples/CAD_Rhino/dynamicVal.3dm";
+setup["layerIndex"]="8";
+
+# 0 -> default
+# 1 -> layer 01
+# 2 -> layer 02
+# 3 -> layer 03
+# 4 -> layer 04
+# 5 -> layer 05
+# 6 -> layer 10
+# 7 -> layer 20
+# 8 -> layer 40
+
+setup["useVoxelList"]=false
+
+
+setup["latticeSizeX"]=latticeSizeX
+setup["latticeSizeY"]=latticeSizeY
+setup["latticeSizeZ"]=latticeSizeZ
+
+######################### 2. Boundary Conditions #########################
+
+######################### 2.a. Global Settings #########################
+
+#scaling params
+setup["voxelSize"]=voxelSize; #voxel size
+setup["scale"]=20; #scale for visualization
+setup["hierarchical"]=false; #hierachical simualtion
+
+
+#simulation params
+setup["numTimeSteps"]=3000000/1; #num of saved timesteps for simulation
+
+setup["poisson"]=false; # account for poisson ration (only for hierarchical)
+setup["linear"]=true; # linear vs non-linear
+setup["thermal"]=false; #if there is change in temperature
+setup["globalDamping"]=0.05; # (usually from 0.1 to 0.4)
+setup["globalDamping"]=0.0001; # (usually from 0.1 to 0.4)
+
+
+#visualization params
+setup["maxNumFiles"]=1200; #num of saved timesteps for visualization, make sure it's smaller than numTimeSteps
+
+
+######################### 2.b. Materials #########################
+
+# L = 1 m
+# w = h = 0.01 m
+# A = 0.001 m^2
+# Iyy, Izz = 0.01^4/12 m^4
+# Izz = 0.01^4/6 m^4
+# E = 6.9e10 N/m^2
+# nu = 0.33
+# rho = 2700 kg/m^3
+# m = 2.7 kg/m
+
+#default material
+material1= Dict()
+material1["area"]=0.0001
+material1["density"]=2700
+material1["stiffness"]=69000000000
+material1["poissonRatio"]=0.0
+material1["cTE"]=0.0 #coefficient of thermal expansion
+
+
+# material1["area"]=0.000001
+# material1["density"]=1000
+# material1["stiffness"]=1000000
+# material1["poissonRatio"]=0.33
+# material1["cTE"]=0.0 #coefficient of thermal expansion
+
+
+
+#large bounding box for default material
+boundingBoxMaterial1=Dict()
+boundingBoxMaterial1["min"]=Dict()
+boundingBoxMaterial1["max"]=Dict()
+
+boundingBoxMaterial1["min"]["x"]=-voxelSize*gridSize;
+boundingBoxMaterial1["min"]["y"]=-voxelSize*gridSize;
+boundingBoxMaterial1["min"]["z"]=-voxelSize*gridSize;
+
+boundingBoxMaterial1["max"]["x"]= voxelSize*gridSize;
+boundingBoxMaterial1["max"]["y"]= voxelSize*gridSize;
+boundingBoxMaterial1["max"]["z"]= voxelSize*gridSize;
+
+
+
+setup["materials"]=[
+ [boundingBoxMaterial1,material1]
+ ];
+
+######################### 2.c. Supports #########################
+
+#x,y,z,rx,ry,rz (default is pinned joing i.e [false,false,false,true,true,true])
+dof=[true,true,true,true,true,true]
+
+boundingBoxSupport1=Dict()
+boundingBoxSupport1["min"]=Dict()
+boundingBoxSupport1["max"]=Dict()
+
+
+boundingBoxSupport1["min"]["x"]=-voxelSize/2.0;
+boundingBoxSupport1["min"]["y"]=-voxelSize/2.0;
+boundingBoxSupport1["min"]["z"]=-voxelSize/2.0;
+
+boundingBoxSupport1["max"]["x"]= voxelSize*(latticeSizeX)+voxelSize/2.0;
+boundingBoxSupport1["max"]["y"]= voxelSize/100;
+boundingBoxSupport1["max"]["z"]= voxelSize*(latticeSizeZ)+voxelSize/2.0;
+
+setup["supports"]=[
+ [boundingBoxSupport1,dof]
+ ];
+
+######################### 2.d. Loads #########################
+#### 2.d.1 Static Loads
+load1=Dict()
+load1["x"]=20.0
+load1["y"]=0.0
+load1["z"]=0.0
+
+boundingBoxLoad1=Dict()
+boundingBoxLoad1["min"]=Dict()
+boundingBoxLoad1["max"]=Dict()
+
+boundingBoxLoad1["min"]["x"]=-voxelSize/2.0;
+boundingBoxLoad1["min"]["y"]=voxelSize*(latticeSizeY)-voxelSize/100;
+boundingBoxLoad1["min"]["z"]=-voxelSize/2.0;
+
+boundingBoxLoad1["max"]["x"]=voxelSize*(latticeSizeX)+voxelSize/2.0;
+boundingBoxLoad1["max"]["y"]=voxelSize*(latticeSizeY)+voxelSize/2.0;
+boundingBoxLoad1["max"]["z"]=voxelSize*(latticeSizeZ)+voxelSize/2.0;
+
+
+setup["loads"]=[
+ [boundingBoxLoad1,load1]
+ ];
+
+#### 2.d.2 Fixed Displacements
+dis1=Dict()
+dis1["x"]=0.0
+dis1["y"]=0.0
+dis1["z"]=0.0
+
+boundingBoxDis1=Dict()
+boundingBoxDis1["min"]=Dict()
+boundingBoxDis1["max"]=Dict()
+
+boundingBoxDis1["min"]["x"]=-voxelSize/2.0;
+boundingBoxDis1["min"]["y"]=voxelSize*(latticeSizeY)-voxelSize/8;
+boundingBoxDis1["min"]["z"]=-voxelSize/2.0;
+
+boundingBoxDis1["max"]["x"]=voxelSize*(latticeSizeX)+voxelSize/2.0;
+boundingBoxDis1["max"]["y"]=voxelSize*(latticeSizeY)+voxelSize/2.0;
+boundingBoxDis1["max"]["z"]=voxelSize*(latticeSizeZ)+voxelSize/2.0;
+
+
+setup["fixedDisplacements"]=[
+ # [boundingBoxDis1,dis1]
+ ];
+
+#### 2.d.3 Dynamic Loads
+function floorEnabled()
+ return false
+end
+
+function gravityEnabled()
+ return false
+end
+
+function externalDisplacement(currentTimeStep,N_position,N_fixedDisplacement)
+ return Vector3(0,0,0)
+end
+
+function externalForce(currentTimeStep,N_position,N_currentPosition,N_force)
+ # if currentTimeStep == 0 && N_force.x>1.0
+ # return Vector3(1.0 / (3.1483100054946037e-7*1), 0.0, 0.0) #1/dt as an impulse
+ # # return Vector3(1.259324002197855e-6, 0.0, 0.0)
+ # else
+ # return Vector3(0,0,0)
+ # end
+ return N_force
+end
+
+
+function updateTemperature(currentRestLength,currentTimeStep,mat)
+ # @cuprintln("currentRestLength $currentRestLength")
+ return currentRestLength
+end
+
+
+###########################################################################
\ No newline at end of file
diff --git a/julia/examples/singleDOF.jl b/julia/examples/singleDOF.jl
new file mode 100644
index 0000000..3106b97
--- /dev/null
+++ b/julia/examples/singleDOF.jl
@@ -0,0 +1,180 @@
+# Amira Abdel-Rahman
+# (c) Massachusetts Institute of Technology 2020
+
+# single degree of freedom test for structural dynamics validation
+
+######################### 1. Voxel Design ###########################
+setup = Dict()
+
+### 1.b Draw Lattice
+
+rhino=false
+
+voxelSize=0.001
+latticeSizeX=1
+latticeSizeY=2
+latticeSizeZ=1
+
+gridSize=5
+
+setup["gridSize"]=gridSize
+
+setup["rhino"]=false
+setup["useVoxelList"]=false
+
+
+setup["latticeSizeX"]=latticeSizeX
+setup["latticeSizeY"]=latticeSizeY
+setup["latticeSizeZ"]=latticeSizeZ
+
+######################### 2. Boundary Conditions #########################
+
+######################### 2.a. Global Settings #########################
+
+#scaling params
+setup["voxelSize"]=voxelSize; #voxel size
+setup["scale"]=2e4; #scale for visualization
+setup["hierarchical"]=true; #hierachical simualtion
+
+
+#simulation params
+setup["numTimeSteps"]=2000; #num of saved timesteps for simulation
+
+setup["poisson"]=false; # account for poisson ration (only for hierarchical)
+setup["linear"]=true; # linear vs non-linear
+setup["thermal"]=false; #if there is change in temperature
+# setup["globalDamping"]=0.02; # (usually from 0.1 to 0.4)
+# setup["globalDamping"]=0.00002; # (usually from 0.1 to 0.4)
+# setup["globalDamping"]=0.00002
+setup["globalDamping"]=0.002
+setup["globalDamping"]=0.00002
+setup["globalDamping"]=0.00001
+setup["globalDamping"]=0.002
+
+
+
+
+#visualization params
+setup["maxNumFiles"]=400; #num of saved timesteps for visualization
+
+
+######################### 2.b. Materials #########################
+
+#default material
+material1= Dict()
+material1["area"]=voxelSize*voxelSize
+mass=10000
+material1["density"]=mass/((voxelSize*2)^3)
+k=214285.7142857143
+material1["stiffness"]=k/voxelSize
+material1["poissonRatio"]=0.0
+material1["cTE"]=0.0 #coefficient of thermal expansion
+
+#large bounding box for default material
+boundingBoxMaterial1=Dict()
+boundingBoxMaterial1["min"]=Dict()
+boundingBoxMaterial1["max"]=Dict()
+
+boundingBoxMaterial1["min"]["x"]=-voxelSize*gridSize;
+boundingBoxMaterial1["min"]["y"]=-voxelSize*gridSize;
+boundingBoxMaterial1["min"]["z"]=-voxelSize*gridSize;
+
+boundingBoxMaterial1["max"]["x"]= voxelSize*gridSize;
+boundingBoxMaterial1["max"]["y"]= voxelSize*gridSize;
+boundingBoxMaterial1["max"]["z"]= voxelSize*gridSize;
+
+
+setup["materials"]=[
+ [boundingBoxMaterial1,material1]
+];
+
+######################### 2.c. Supports #########################
+
+#x,y,z,rx,ry,rz (default is pinned joing i.e [false,false,false,true,true,true])
+dof=[true,true,true,true,true,true]
+dof2=[false,true,true,true,true,true]
+
+
+boundingBoxSupport1=Dict()
+boundingBoxSupport1["min"]=Dict()
+boundingBoxSupport1["max"]=Dict()
+
+
+boundingBoxSupport1["min"]["x"]= 0;
+boundingBoxSupport1["min"]["y"]= 0;
+boundingBoxSupport1["min"]["z"]= 0;
+
+boundingBoxSupport1["max"]["x"]= voxelSize*(latticeSizeX);
+boundingBoxSupport1["max"]["y"]= voxelSize*(latticeSizeY-1);
+boundingBoxSupport1["max"]["z"]= voxelSize*(latticeSizeZ);
+
+#only lateral displacement
+boundingBoxSupport2=Dict()
+boundingBoxSupport2["min"]=Dict()
+boundingBoxSupport2["max"]=Dict()
+
+boundingBoxSupport2["min"]["x"]= 0;
+boundingBoxSupport2["min"]["y"]= voxelSize;
+boundingBoxSupport2["min"]["z"]= 0;
+
+boundingBoxSupport2["max"]["x"]= voxelSize*(latticeSizeX);
+boundingBoxSupport2["max"]["y"]= voxelSize*(latticeSizeY);
+boundingBoxSupport2["max"]["z"]= voxelSize*(latticeSizeZ);
+
+setup["supports"]=[
+ [boundingBoxSupport1,dof],
+ [boundingBoxSupport2,dof2]
+ ];
+
+######################### 2.d. Loads #########################
+#### 2.d.1 Static Loads
+load1=Dict()
+load1["x"]=1500/1000/3
+load1["y"]=0.0
+load1["z"]=0.0
+
+boundingBoxLoad1=Dict()
+boundingBoxLoad1["min"]=Dict()
+boundingBoxLoad1["max"]=Dict()
+
+boundingBoxLoad1["min"]["x"]=voxelSize*(latticeSizeX-1);
+boundingBoxLoad1["min"]["y"]=0;
+boundingBoxLoad1["min"]["z"]=0;
+
+boundingBoxLoad1["max"]["x"]=voxelSize*(latticeSizeX);
+boundingBoxLoad1["max"]["y"]=voxelSize*(latticeSizeY);
+boundingBoxLoad1["max"]["z"]=voxelSize*(latticeSizeZ);
+
+
+setup["loads"]=[
+ [boundingBoxLoad1,load1]
+ ];
+
+setup["fixedDisplacements"]=[];
+#### 2.d.2 Dynamic Loads
+function floorEnabled()
+ return false
+end
+
+function gravityEnabled()
+ return false
+end
+
+function externalDisplacement(currentTimeStep,N_position,N_fixedDisplacement)
+ return N_fixedDisplacement
+end
+
+function externalForce(currentTimeStep,N_position,N_currentPosition,N_force)
+ if currentTimeStep==1
+ return N_force
+ else
+ return Vector3(0,0,0)
+ end
+end
+
+function updateTemperature(currentRestLength,currentTimeStep,mat)
+ return currentRestLength
+end
+
+
+################
\ No newline at end of file
diff --git a/julia/examples/tendon.jl b/julia/examples/tendon.jl
index 2ede648..6a6c600 100644
--- a/julia/examples/tendon.jl
+++ b/julia/examples/tendon.jl
@@ -44,6 +44,8 @@ setup["linear"]=true; # linear vs non-linear
setup["thermal"]=true; #if there is change in temperature
setup["globalDamping"]=0.01; # (usually from 0.1 to 0.4)
setup["globalDamping"]=0.0001; # (usually from 0.1 to 0.4)
+setup["globalDamping"]=0; # (usually from 0.1 to 0.4)
+setup["globalDamping"]=0.0001; # (usually from 0.1 to 0.4)
@@ -222,7 +224,7 @@ end
function updateTemperature(currentRestLength,currentTimeStep,mat)
if currentTimeStep<40000
- temp=-1.0*currentTimeStep/40000
+ temp=-2.0*currentTimeStep/40000
currentRestLength=mat.L+mat.L*(temp*mat.cTE)
# elseif currentTimeStep==25000
# temp=0
diff --git a/julia/include/beamFEA.jl b/julia/include/beamFEA.jl
index 59ae237..0bfd6d6 100644
--- a/julia/include/beamFEA.jl
+++ b/julia/include/beamFEA.jl
@@ -138,12 +138,49 @@ function get_matrices(setup)
# m = [[2 1];[1 2]]
# k = [[1 -1];[-1 1]]
+ Ix = ixx
+ rx2 = Ix/A
+ L = length
+ L2 = L^2
+
+ m = zeros(12, 12)
+
+ # FROM https://github.com/airinnova/framat/blob/master/src/framat/_element.py
+
+ m[1+0, 1+0] = 140;
+ m[1+0, 1+6] = 70; m[1+6, 1+0] = 70;
+ m[1+1, 1+1] = 156;
+ m[1+1, 1+5] = 22*L; m[1+5, 1+1] = 22*L;
+ m[1+1, 1+7] = 54;m[1+7, 1+1] = 54;
+ m[1+1, 1+11] = -13*L;m[1+11, 1+1] = -13*L;
+ m[1+2, 1+2] = 156;
+ m[1+2, 1+4] = -22*L;m[1+4, 1+2] = -22*L;
+ m[1+2, 1+8] = 54; m[1+8, 1+2] = 54;
+ m[1+2, 1+10] = 13*L; m[1+10, 1+2] = 13*L;
+ m[1+3, 1+3] = 140*rx2;
+ m[1+3, 1+9] = 70*rx2; m[1+9, 1+3] = 70*rx2;
+ m[1+4, 1+4] = 4*L2;
+ m[1+4, 1+8] = -13*L; m[1+8, 1+4] = -13*L;
+ m[1+4, 1+10] = -3*L2; m[1+10, 1+4] = -3*L2;
+ m[1+5, 1+5] = 4*L2;
+ m[1+5, 1+7] = 13*L; m[1+7, 1+5] = 13*L;
+ m[1+5, 1+11] = -3*L2; m[1+11, 1+5] = -3*L2;
+ m[1+6, 1+6] = 140;
+ m[1+7, 1+7] = 156;
+ m[1+7, 1+11] = -22*L; m[1+11, 1+7] = -22*L;
+ m[1+8, 1+8] = 156;
+ m[1+8, 1+10] = 22*L;m[1+10, 1+8] = 22*L;
+ m[1+9, 1+9] = 140*rx2;
+ m[1+10,1+10] = 4*L2;
+ m[1+11,1+11] = 4*L2;
+ m = m.*(rho*A*L)/420
+
k = [[E*A/l0 0 0 0 0 0 -E*A/l0 0 0 0 0 0];[0 12*E*ixx/l03 0 0 0 6*E*ixx/l02 0 -12*E*ixx/l03 0 0 0 6*E*ixx/l02];[0 0 12*E*iyy/l03 0 -6*E*iyy/l02 0 0 0 -12*E*iyy/l03 0 -6*E*iyy/l02 0];[0 0 0 G*j/l0 0 0 0 0 0 -G*j/l0 0 0];[0 0 -6*E*iyy/l02 0 4*E*iyy/l0 0 0 0 6*E*iyy/l02 0 2*E*iyy/l0 0];[0 6*E*ixx/l02 0 0 0 4*E*ixx/l0 0 -6*E*ixx/l02 0 0 0 2*E*ixx/l0];[-E*A/l0 0 0 0 0 0 E*A/l0 0 0 0 0 0];[0 -12*E*ixx/l03 0 0 0 -6*E*ixx/l02 0 12*E*ixx/l03 0 0 0 -6*E*ixx/l02];[0 0 -12*E*iyy/l03 0 6*E*iyy/l02 0 0 0 12*E*iyy/l03 0 6*E*iyy/l02 0];[0 0 0 -G*j/l0 0 0 0 0 0 G*j/l0 0 0];[0 0 -6*E*iyy/l02 0 2*E*iyy/l0 0 0 0 6*E*iyy/l02 0 4*E*iyy/l0 0];[0 6*E*ixx/l02 0 0 0 2*E*ixx/l0 0 -6*E*ixx/l02 0 0 0 4*E*ixx/l0]]
# find rotated mass and stifness matrices
tau = rotation_matrix(element_vector, x_axis,y_axis,z_axis)
- # m_r=transpose(tau)*m*tau
+ m_r=transpose(tau)*m*tau
k_r=transpose(tau)*k*tau
@@ -156,11 +193,12 @@ function get_matrices(setup)
end
- # M_rG= transpose(B)*m_r*B
+ M_rG= transpose(B)*m_r*B
K_rG= transpose(B)*k_r*B
# M += Cm .* M_rG
# K += Ck .* K_rG
+ M += M_rG
K += K_rG
end
@@ -193,10 +231,10 @@ function get_matrices(setup)
# print(K)
# print(F)
- # M = M[setdiff(1:end, remove_indices), :]
+ M = M[setdiff(1:end, remove_indices), :]
K = K[setdiff(1:end, remove_indices), :]
- # M = M[:,setdiff(1:end, remove_indices)]
+ M = M[:,setdiff(1:end, remove_indices)]
K = K[:,setdiff(1:end, remove_indices)]
F = F[setdiff(1:end, remove_indices)]
@@ -242,9 +280,10 @@ function solveFea(setup)
#println(K)
#println(F)
- #evals=eigvals(K,M)
- #evecs=eigvecs(K,M)
- #frequencies=sqrt.(evals)
+ evals=eigvals(K,M)
+ evecs=eigvecs(K,M)
+ frequencies=sqrt.(evals)./pi/2
+ display(frequencies)
X=inv(K)*F;
# display(X)
diff --git a/julia/include/plotViz.jl b/julia/include/plotViz.jl
index 006e57a..8fd3f1f 100644
--- a/julia/include/plotViz.jl
+++ b/julia/include/plotViz.jl
@@ -100,12 +100,12 @@ function plotFinalDisplacementComparison(setup1,setup2,setup3)
pZ2=[]
for node in nodes2
if node["position"]["y"]<20
- append!(disX2,[node["displacement"]["x"]])
- append!(disY2,[node["displacement"]["y"]])
- append!(disZ2,[node["displacement"]["z"]])
- append!(pX2,[node["position"]["x"]])
- append!(pY2,[node["position"]["y"]])
- append!(pZ2,[node["position"]["z"]])
+ append!(disX2,[node["displacement"]["x"]/setupViz["scale"]])
+ append!(disY2,[node["displacement"]["y"]/setupViz["scale"]])
+ append!(disZ2,[node["displacement"]["z"]/setupViz["scale"]])
+ append!(pX2,[node["position"]["x"]/setupViz["scale"]])
+ append!(pY2,[node["position"]["y"]/setupViz["scale"]])
+ append!(pZ2,[node["position"]["z"]/setupViz["scale"]])
end
end
@@ -120,12 +120,12 @@ function plotFinalDisplacementComparison(setup1,setup2,setup3)
if haskey(setup3,"multiscale")
if node["position"]["y"]<20
if node["scale"]!=2
- append!(disX3,[node["displacement"]["x"]])
- append!(disY3,[node["displacement"]["y"]])
- append!(disZ3,[node["displacement"]["z"]])
- append!(pX3,[node["position"]["x"]])
- append!(pY3,[node["position"]["y"]])
- append!(pZ3,[node["position"]["z"]])
+ append!(disX3,[node["displacement"]["x"]/setupViz["scale"]])
+ append!(disY3,[node["displacement"]["y"]/setupViz["scale"]])
+ append!(disZ3,[node["displacement"]["z"]/setupViz["scale"]])
+ append!(pX3,[node["position"]["x"]/setupViz["scale"]])
+ append!(pY3,[node["position"]["y"]/setupViz["scale"]])
+ append!(pZ3,[node["position"]["z"]/setupViz["scale"]])
end
end
end
@@ -156,9 +156,9 @@ function plotDisplacementTroughTimeSteps(name,id)
for i in 0:(maxNumFiles-1)
setupViz=getSetup1("$(name)/$(Int(i))");
node=setupViz["nodes"][id]
- append!(disX,[node["displacement"]["x"]])
- append!(disY,[node["displacement"]["y"]])
- append!(disZ,[node["displacement"]["z"]])
+ append!(disX,[node["displacement"]["x"]/setupViz["scale"]])
+ append!(disY,[node["displacement"]["y"]/setupViz["scale"]])
+ append!(disZ,[node["displacement"]["z"]/setupViz["scale"]])
end
display(Plots.plot(x,disX,title="x displacement",label="",ylabel="displacement",xlabel="timestep"))
@@ -177,10 +177,13 @@ function plotDisplacementTroughTimeSteps(name,id,axis)
for i in 0:(maxNumFiles-1)
setupViz=getSetup1("$(name)/$(Int(i))");
node=setupViz["nodes"][id]
- append!(dis,[node["displacement"][axis]])
+ append!(dis,[node["displacement"][axis]/setupViz["scale"]])
end
+ setupViz=getSetup1("$(name)/0")
+ x=x.*setupViz["dt"]
display(Plots.plot(x,dis,title="$(axis) displacement",label="",ylabel="displacement",xlabel="timestep"))
+ return dis
end
function plotDisplacementTroughTimeSteps(name)
@@ -195,14 +198,16 @@ function plotDisplacementTroughTimeSteps(name)
for i in 0:(maxNumFiles-1)
setupViz=getSetup1("$(name)/$(Int(i))");
node=setupViz["nodes"][end]
- append!(disX,[node["displacement"]["x"]])
- append!(disY,[node["displacement"]["y"]])
- append!(disZ,[node["displacement"]["z"]])
+ append!(disX,[node["displacement"]["x"]/setupViz["scale"]])
+ append!(disY,[node["displacement"]["y"]/setupViz["scale"]])
+ append!(disZ,[node["displacement"]["z"]/setupViz["scale"]])
end
- display(Plots.plot(x,disX,title="x displacement",label="",ylabel="displacement",xlabel="timestep",legend = :outertopright))
- display(Plots.plot(x,disY,title="y displacement",label="",ylabel="displacement",xlabel="timestep",legend = :outertopright))
- display(Plots.plot(x,disZ,title="z displacement",label="",ylabel="displacement",xlabel="timestep",legend = :outertopright))
+ setupViz=getSetup1("$(name)/0")
+ x=x.*setupViz["dt"]
+ display(Plots.plot(x,disX,title="x displacement",label="",ylabel="displacement",xlabel="time (sec)",legend = :outertopright))
+ display(Plots.plot(x,disY,title="y displacement",label="",ylabel="displacement",xlabel="time (sec)",legend = :outertopright))
+ display(Plots.plot(x,disZ,title="z displacement",label="",ylabel="displacement",xlabel="time (sec)",legend = :outertopright))
return disX,disY,disZ
end
#############Stress######################
@@ -355,25 +360,25 @@ function plotDetailedTendon(simName)
append!(disX1,[[]]);append!(disY1,[[]]);
for node in nodes
if node["position"]["z"]>30 && node["position"]["y"]>30
- append!(disX[Int(i+1)],[node["position"]["x"]+node["displacement"]["x"]])
- append!(disY[Int(i+1)],[node["position"]["y"]+node["displacement"]["y"]])
+ append!(disX[Int(i+1)],[node["position"]["x"]./setupViz["scale"]+node["displacement"]["x"]./setupViz["scale"]])
+ append!(disY[Int(i+1)],[node["position"]["y"]./setupViz["scale"]+node["displacement"]["y"]./setupViz["scale"]])
end
if node["position"]["z"]>30 && node["position"]["y"]<10
- append!(disX1[Int(i+1)],[node["position"]["x"]+node["displacement"]["x"]])
- append!(disY1[Int(i+1)],[node["position"]["y"]+node["displacement"]["y"]])
+ append!(disX1[Int(i+1)],[node["position"]["x"]./setupViz["scale"]+node["displacement"]["x"]./setupViz["scale"]])
+ append!(disY1[Int(i+1)],[node["position"]["y"]./setupViz["scale"]+node["displacement"]["y"]./setupViz["scale"]])
end
end
end
- Plots.plot(disX[1,:].*2,disY[1,:].*2,legend=false, aspect_ratio=:equal)
- Plots.plot!(disX1[1,:].*2,disY1[1,:].*2,legend=false, aspect_ratio=:equal)
+ Plots.plot(disX[1,:],disY[1,:],legend=false, aspect_ratio=:equal)
+ Plots.plot!(disX1[1,:],disY1[1,:],legend=false, aspect_ratio=:equal)
for i in 1:5:maxNumFiles
- Plots.plot!(disX[i,:].*2,disY[i,:].*2,legend=false, aspect_ratio=:equal)
- Plots.plot!(disX1[i,:].*2,disY1[i,:].*2,legend=false, aspect_ratio=:equal)
+ Plots.plot!(disX[i,:],disY[i,:],legend=false, aspect_ratio=:equal)
+ Plots.plot!(disX1[i,:],disY1[i,:],legend=false, aspect_ratio=:equal)
end
display(Plots.plot!())
end
-function plotDetailedTendonVSphysical(simName,nodesPhys)
+function plotDetailedTendonVSphysical(simName,nodesPhys,skip=0)
setupViz=getSetup1("$(simName)/0")
maxNumFiles=Int(setupViz["maxNumFiles"])
numTimeSteps=setupViz["numTimeSteps"]
@@ -390,20 +395,20 @@ function plotDetailedTendonVSphysical(simName,nodesPhys)
append!(disX1,[[]]);append!(disY1,[[]]);
for node in nodes
if node["position"]["z"]>30 && node["position"]["y"]>30
- append!(disX[Int(i+1)],[node["position"]["x"]+node["displacement"]["x"]])
- append!(disY[Int(i+1)],[node["position"]["y"]+node["displacement"]["y"]])
+ append!(disX[Int(i+1)],[node["position"]["x"]./setupViz["scale"]+node["displacement"]["x"]])
+ append!(disY[Int(i+1)],[node["position"]["y"]./setupViz["scale"]+node["displacement"]["y"]])
end
if node["position"]["z"]>30 && node["position"]["y"]<10
- append!(disX1[Int(i+1)],[node["position"]["x"]+node["displacement"]["x"]])
- append!(disY1[Int(i+1)],[node["position"]["y"]+node["displacement"]["y"]])
+ append!(disX1[Int(i+1)],[node["position"]["x"]./setupViz["scale"]+node["displacement"]["x"]./setupViz["scale"]])
+ append!(disY1[Int(i+1)],[node["position"]["y"]./setupViz["scale"]+node["displacement"]["y"]./setupViz["scale"]])
end
end
end
- Plots.plot(disX[1,:].*2.0 ,disY[1,:].*2,label="MetaVoxels", aspect_ratio=:equal,color=palette(:default)[1],legend = :outertopright)
- Plots.plot!(disX1[1,:].*2.0 ,disY1[1,:].*2,label="", aspect_ratio=:equal,color=palette(:default)[1])
- for i in 1:5:maxNumFiles
- Plots.plot!(disX[i,:].*2.0 ,disY[i,:].*2,label="", aspect_ratio=:equal,color=palette(:default)[1])
- Plots.plot!(disX1[i,:].*2.0 ,disY1[i,:].*2,label="", aspect_ratio=:equal,color=palette(:default)[1])
+ Plots.plot(disX[1,:] ,disY[1,:],label="MetaVoxels", aspect_ratio=:equal,color=palette(:default)[1],legend = :outertopright)
+ Plots.plot!(disX1[1,:] ,disY1[1,:],label="", aspect_ratio=:equal,color=palette(:default)[1])
+ for i in 1:maxNumFiles-skip
+ Plots.plot!(disX[i,:] ,disY[i,:],label="", aspect_ratio=:equal,color=palette(:default)[1])
+ Plots.plot!(disX1[i,:] ,disY1[i,:],label="", aspect_ratio=:equal,color=palette(:default)[1])
end
Plots.plot!(nodesPhys[1:5,1,1].+75/2,nodesPhys[1:5,1,2],label="Physical Experiment", aspect_ratio=:equal,color=palette(:default)[2])
Plots.plot!(nodesPhys[6:10,1,1].+75/2,nodesPhys[6:10,1,2],label="", aspect_ratio=:equal,color=palette(:default)[2])
diff --git a/julia/include/run.jl b/julia/include/run.jl
index 6b87714..da4b491 100644
--- a/julia/include/run.jl
+++ b/julia/include/run.jl
@@ -41,6 +41,8 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
momentInertiaInverse=1.92e-6
inertia=1/momentInertiaInverse
+
+
zetaInternal=1.0
zetaGlobal=0.2
if haskey(setup,"globalDamping")
@@ -50,7 +52,7 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
muStatic= 2.0
muKinetic= 0.1
nomSize=round(sqrt(node["material"]["area"] );digits=10)
- nomSize=nomSize*2.0
+ # nomSize=nomSize*2.0 #why??
mass=round(nomSize*nomSize*nomSize *rho;digits=10)
@@ -79,7 +81,9 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
nomSize=nomSize*scale
mass=round(nomSize*nomSize*nomSize *rho;digits=10)
end
- N_material[i]=voxelMaterial(E,mass,nu,rho,zetaInternal,zetaGlobal,zetaCollision,muStatic,muKinetic,nomSize,linear,poisson,cTE,scale)
+ N_material[i]= voxelMaterial(E, mass, nu, rho, zetaInternal, zetaGlobal, zetaCollision, muStatic, muKinetic, nomSize, linear, poisson, cTE, scale)
+ N_materialtmp[i] = voxelMaterial(E, mass, nu, rho, zetaInternal, zetaGlobal, zetaCollision, muStatic, muKinetic, nomSize, linear, poisson, cTE, scale)
+
i=i+1
else
@@ -130,11 +134,18 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
E=edge["material"]["stiffness"]
E=(N_material[E_source[i]].E+N_material[E_target[i]].E)/2.0
- mass=(N_material[E_source[i]].mass+N_material[E_target[i]].mass)/2.0
+ mass=(N_material[E_source[i]].mass+N_material[E_target[i]].mass)/2.0 #not used anymore
nu=(N_material[E_source[i]].nu+N_material[E_target[i]].nu)/2.0
rho=edge["material"]["density"]
rho=(N_material[E_source[i]].rho+N_material[E_target[i]].rho)/2.0
+ E = (N_materialtmp[E_source[i]].E + N_materialtmp[E_target[i]].E) / 2.0
+ nu = (N_materialtmp[E_source[i]].nu + N_materialtmp[E_target[i]].nu) / 2.0
+ rho = edge["material"]["density"]
+ rho = (N_materialtmp[E_source[i]].rho + N_materialtmp[E_target[i]].rho) / 2.0
+ mass = length * rho * E_currentTransverseArea[i]
+
+
area=edge["material"]["area"]
# mass=1e-6
@@ -143,6 +154,10 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
loaded=edge["loaded"]
end
+
+
+
+
strainRatio=(N_material[E_source[i]].E / N_material[E_target[i]].E)
linear=(N_material[E_source[i]].linear && N_material[E_target[i]].linear)
poisson=(N_material[E_source[i]].poisson || N_material[E_target[i]].poisson)
@@ -335,7 +350,30 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
E_target[i]=edge["target"]+1
i=i+1
- end
+ end
+
+ ##fixing mass calculation
+ for (i, nodes) in enumerate(nodes)
+ mass = 0
+ for id in N_edgeID[i,1:N_currEdge[i]]
+ if id != -1
+ mass += E_material[id].rho * E_material[id].area * E_material[id].L / 2
+ end
+ end
+ N_material[i] = voxelMaterial(N_materialtmp[i].E, mass, N_materialtmp[i].nu, N_materialtmp[i].rho, N_materialtmp[i].zetaInternal, N_materialtmp[i].zetaGlobal, N_materialtmp[i].zetaCollision, N_materialtmp[i].muStatic, N_materialtmp[i].muKinetic, N_materialtmp[i].nomSize, N_materialtmp[i].linear, N_materialtmp[i].poisson, N_materialtmp[i].cTE, N_materialtmp[i].scale)
+ end
+
+ #tendons
+ if !haskey(setup,"tendonIds")
+ setup["tendonIds"]=[]
+ end
+ if !haskey(setup,"mu")
+ setup["mu"]=0.5
+ end
+ tendonIds=setup["tendonIds"]
+ mu=setup["mu"]
+
+
end
function simulateParallel!(metavoxel,maxNumTimeSteps,dt,sys="GPU")
@@ -381,6 +419,7 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
N_edgeFirst=fill(true,(voxCount,maxNumEdges))
N_currEdge=fill(1,voxCount)
N_material=fill(voxelMaterial(),voxCount)
+ N_materialtmp=fill(voxelMaterial(),voxCount)
N_poissonStrain=fill(Vector3(),voxCount)
############# edges
@@ -412,6 +451,8 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
E_currentTransverseArea=fill(0.0,linkCount)
E_currentTransverseStrainSum=fill(0.0,linkCount)# TODO remove ot incorporate
+ tendonIds=[]
+ mu=0.6;
#################################################################
initialize!(setup)
@@ -513,7 +554,9 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
"E_intMoment2GPU" =>E_intMoment2GPU,
"E_dampGPU" =>E_dampGPU,
"E_smallAngleGPU" =>E_smallAngleGPU,
- "E_materialGPU" =>E_materialGPU
+ "E_materialGPU" =>E_materialGPU,
+ "tendonIds" =>tendonIds,
+ "mu"=>mu
)
else
# CPU
@@ -561,7 +604,10 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
"E_intMoment2" =>E_intMoment2,
"E_damp" =>E_damp,
"E_smallAngle" =>E_smallAngle,
- "E_material" =>E_material
+ "E_material" =>E_material,
+
+ "tendonIds" =>tendonIds,
+ "mu"=>mu
)
end
@@ -587,10 +633,13 @@ function runMetaVoxels!(setup,folderPath,sys="GPU")
temp=eHat*E_material[1].b*E_material[1].h/((0.0+1.0)*E_material[1].L)
MaxFreq2=temp/mass
end
- dt= 1.0/(6.283185*sqrt(MaxFreq2))
+
+ dt= 1.0/(6.283185*sqrt(MaxFreq2))
+ # dt=dt*4 #manual speedup
if (logging)
println("dt: $dt, s: $s, mass: $mass, momentInertiaInverse: $(N_material[1].momentInertiaInverse)")
end
+ setup["dt"]=dt
numFile=0
numSaves=0
@@ -673,6 +722,14 @@ function doTimeStep!(metavoxel,dt,currentTimeStep,sys="GPU")
metavoxel["E_materialGPU"],
metavoxel["E_maxStrainGPU"]
)
+ # update forces on tendons
+ run_updateTendonsGPU!(dt,currentTimeStep,
+ metavoxel["N_positionGPU"],
+ metavoxel["N_forceGPU"],
+ metavoxel["N_currPositionGPU"],
+ metavoxel["tendonIds"],
+ metavoxel["mu"]
+ )
else
# CPU
# update forces: go through edges, get currentposition from nodes, calc pos2 and update stresses and interior forces of nodes
@@ -734,6 +791,15 @@ function doTimeStep!(metavoxel,dt,currentTimeStep,sys="GPU")
metavoxel["E_material"],
metavoxel["E_maxStrain"]
)
+
+ # update forces on tendons
+ updateTendonsCPU!(dt,currentTimeStep,
+ metavoxel["N_position"],
+ metavoxel["N_force"],
+ metavoxel["N_currPosition"],
+ metavoxel["tendonIds"],
+ metavoxel["mu"]
+ )
end
end
diff --git a/julia/include/updateEdges.jl b/julia/include/updateEdges.jl
index 48278c5..c8f8a49 100644
--- a/julia/include/updateEdges.jl
+++ b/julia/include/updateEdges.jl
@@ -169,7 +169,8 @@ function updateEdges!(sys,i,dt,currentTimeStep,E_source,E_target,E_sourceNodalCo
zeta=1.0
dampingM= convert(Float64,E_material[i].dampingM)/dt*1.0
- dampingMultiplier=Vector3(dampingM,dampingM,dampingM)
+ # dampingM=0 #temporarly remove damping
+ dampingMultiplier=Vector3(dampingM,dampingM,dampingM) #critical damping
diff --git a/julia/include/updateNodes.jl b/julia/include/updateNodes.jl
index 19e2b47..5f01009 100644
--- a/julia/include/updateNodes.jl
+++ b/julia/include/updateNodes.jl
@@ -148,7 +148,6 @@ function updateNodes!(sys,i,dt,currentTimeStep,N_position, N_restrained,N_displa
return
end
-
############################
function updateNodesGPU!(dt,currentTimeStep,N_position, N_restrained,N_displacement,N_angle,N_currPosition,N_linMom,N_angMom,
diff --git a/julia/include/updateTendons.jl b/julia/include/updateTendons.jl
new file mode 100644
index 0000000..6bcd30c
--- /dev/null
+++ b/julia/include/updateTendons.jl
@@ -0,0 +1,72 @@
+function updateTendons!(sys,i,currentTimeStep, N_position, N_force, N_currPosition,tendonIds,mu)
+ # mu = 0.5
+ # tendonIds = [5,7,17,25,33]
+
+ if i in tendonIds
+ ind = findall(x -> x == i, tendonIds)[1]
+ else
+ return
+ end
+
+
+ tension=tendonForce!(currentTimeStep)
+
+ T = Array{Float64}(undef, length(tendonIds))
+ R = Array{Vector3}(undef, length(tendonIds))
+
+ e_out = normalizeVector3(N_currPosition[tendonIds[2]] - N_currPosition[tendonIds[1]])
+ T[1] = tension
+ R[1] = tension * e_out
+
+ for j = 2:(length(tendonIds) - 1)
+ e_in = normalizeVector3(N_currPosition[tendonIds[j]] - N_currPosition[tendonIds[j - 1]])
+ e_out = normalizeVector3(N_currPosition[tendonIds[j + 1]] - N_currPosition[tendonIds[j]])
+ theta = acos(dotVector3(e_in, e_out)) / 2
+
+ T[j] = T[j - 1] * (-mu * sin(theta) + cos(theta)) / (cos(theta) + mu * sin(theta))
+ R[j] = T[j] * e_out - T[j - 1] * e_in
+ end
+
+ e_in = normalizeVector3(N_currPosition[tendonIds[end]] - N_currPosition[tendonIds[end - 1]])
+ R[end] = - T[end - 1] * (e_in)
+
+ # if mod(currentTimeStep, 10000) == 0 && ind == 2
+ # println(T)
+ # end
+
+ N_force[i]= N_force[i]+ R[ind]
+ return
+
+end
+
+function tendonForce!(currentTimeStep)
+ tension=0
+ # Ramp tension to 95 Newtons over the first 300000 steps
+ if currentTimeStep < 100000
+ tension = 60.0 * currentTimeStep / 100000
+ else
+ tension = 60.0
+ end
+ return tension
+end
+
+
+function updateTendonsGPU!(dt,currentTimeStep,N_position,N_force,N_currPosition,tendonIds,mu)
+ index = (blockIdx().x - 1) * blockDim().x + threadIdx().x
+ stride = blockDim().x * gridDim().x
+ ## @cuprintln("thread $index, block $stride")
+ N=length(N_position)
+ for i = index:stride:N
+ updateTendons!(1,i,currentTimeStep,N_position,N_force,N_currPosition,tendonIds,mu)
+ end
+ return
+end
+
+
+function updateTendonsCPU!(dt,currentTimeStep,N_position,N_force,N_currPosition,tendonIds,mu)
+ N=length(N_position)
+ Threads.@threads for i = 1:N
+ updateTendons!(0,i,currentTimeStep,N_position,N_force,N_currPosition,tendonIds,mu)
+ end
+ return
+end
\ No newline at end of file
diff --git a/jupyter/Structural Dynamics Validation (Tendons).ipynb b/jupyter/Structural Dynamics Validation (Tendons).ipynb
new file mode 100644
index 0000000..4cd50e4
--- /dev/null
+++ b/jupyter/Structural Dynamics Validation (Tendons).ipynb
@@ -0,0 +1,9113 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Structural Dynamics Validation (Tendons)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Amira Abdel-Rahman\n",
+ "# (c) Massachusetts Institute of Technology 2021\n",
+ "\n",
+ "# tested using julia 1.5.2 and macbook pro"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n"
+ ]
+ }
+ ],
+ "source": [
+ "plotting=true\n",
+ "GPU=false\n",
+ "logging=true\n",
+ "include(\"../julia/MetaVoxels.jl\") #load MetaVoxels!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "using CSV;\n",
+ "using DataFrames;"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Old"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 112,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "nodesPhys=fill(0.0,10,12,2)\n",
+ "\n",
+ "for t=5:5:60\n",
+ " file=\"../julia/examples/CAD_Rhino/tendon_data/$(t)mmstrain.csv\"\n",
+ " df = CSV.File(file,header=false) |> DataFrame\n",
+ " for i=1:10\n",
+ " nodesPhys[Int(df[i,1]),Int(t/5),1]=df[Int(i),2];#x\n",
+ " nodesPhys[Int(df[i,1]),Int(t/5),2]=df[Int(i),3];#y\n",
+ " end\n",
+ "end"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 113,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n",
+ "Success! Created structure with 44 nodes and 109 edges.\n",
+ "dt: 0.0014172978482285626, s: 75.0, mass: 11.89524, momentInertiaInverse: 0.02852895\n",
+ "first timestep took 1.232047895 seconds\n",
+ "ran 44 nodes and 109 edges for 80000 time steps took 49.851961761 seconds\n"
+ ]
+ }
+ ],
+ "source": [
+ "simName=\"newTendon\"\n",
+ "\n",
+ "# get a saved setup from an external julia file\n",
+ "# include(\"./julia/examples/thermalTest.jl\") #template for multimaterial hierarchical voxels with different thermal coefficient of thermal expansion \n",
+ "include(\"../julia/examples/tendon.jl\") #template for lattice voxel (big scale with real params)\n",
+ "\n",
+ "\n",
+ "## recompile these just for sanity check for dynamic loads\n",
+ "include(\"../julia/MetaVoxels.jl\") \n",
+ "\n",
+ "#export setup using nodejs and javascript from \"./json/$(simName)Init.json\" and save to \"./json/$(simName).json\"\n",
+ "exportJuliaSettingsUsingNode(setup,simName)\n",
+ "\n",
+ "setupSim=getSetup(simName); #get simulation from\"./json/$(simName).json\"\n",
+ "savedDataFolderPath=\"../json/$(simName)/\" # make sure this folder exists, this is where the simulation result will be saved\n",
+ "runMetaVoxels!(setupSim,savedDataFolderPath,\"CPU\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 114,
+ "metadata": {},
+ "outputs": [
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+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n"
+ ]
+ }
+ ],
+ "source": [
+ "include(\"../julia/MetaVoxels.jl\") #load MetaVoxels!\n",
+ "skip=0\n",
+ "plotDetailedTendonVSphysical(simName,nodesPhys,skip)# damp=0.0001 28*1.4 temp 1 40000 then 80000"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 115,
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+ "source": [
+ "tendonIds = [5,7,17,25,33]\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,33,\"x\");\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,33,\"y\");\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,33,\"z\");\n"
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+ " 369.282,263.473 369.307,263.507 369.333,263.541 369.359,263.575 369.385,263.609 369.41,263.643 369.436,263.677 369.462,263.71 369.487,263.744 369.513,263.778 \n",
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+ " 399.845,303.868 399.87,303.902 399.896,303.936 399.922,303.969 399.947,304.003 399.973,304.037 399.999,304.071 400.024,304.105 400.05,304.139 400.076,304.173 \n",
+ " 400.101,304.207 400.127,304.241 400.153,304.275 400.178,304.309 400.204,304.343 400.23,304.377 400.256,304.411 400.281,304.445 400.307,304.479 400.333,304.513 \n",
+ " 400.358,304.547 400.384,304.58 400.41,304.614 400.435,304.648 400.461,304.682 400.487,304.716 400.512,304.75 400.538,304.784 400.564,304.818 400.589,304.852 \n",
+ " 400.615,304.886 400.641,304.92 400.666,304.954 400.692,304.988 400.718,305.022 400.744,305.056 400.769,305.09 400.795,305.124 400.821,305.158 400.846,305.192 \n",
+ " 400.872,305.225 400.898,305.259 400.923,305.293 400.949,305.327 400.975,305.361 401,305.395 401.026,305.429 401.052,305.463 401.077,305.497 401.103,305.531 \n",
+ " 401.129,305.565 401.154,305.599 401.18,305.633 401.206,305.667 401.231,305.701 401.257,305.735 401.283,305.769 401.309,305.803 401.334,305.836 401.36,305.87 \n",
+ " 401.386,305.904 401.411,305.938 401.437,305.972 401.463,306.006 401.488,306.04 401.514,306.074 401.54,306.108 401.565,306.142 401.591,306.176 401.617,306.21 \n",
+ " 401.642,306.244 401.668,306.278 401.694,306.312 401.719,306.346 401.745,306.38 401.771,306.414 401.797,306.447 401.822,306.481 401.848,306.515 401.874,306.549 \n",
+ " 401.899,306.583 401.925,306.617 401.951,306.651 401.976,306.685 402.002,306.719 402.028,306.753 402.053,306.787 402.079,306.821 402.105,306.855 402.13,306.889 \n",
+ " 402.156,306.923 402.182,306.957 402.207,306.991 402.233,307.025 402.259,307.058 402.285,307.092 402.31,307.126 402.336,307.16 402.362,307.194 402.387,307.228 \n",
+ " 402.413,307.262 402.439,307.296 402.464,307.33 402.49,307.364 402.516,307.398 402.541,307.432 402.567,307.466 402.593,307.5 402.618,307.534 402.644,307.568 \n",
+ " 402.67,307.602 402.695,307.636 402.721,307.669 402.747,307.703 402.772,307.737 402.798,307.771 402.824,307.805 402.85,307.839 402.875,307.873 402.901,307.907 \n",
+ " 402.927,307.941 402.952,307.975 402.978,308.009 403.004,308.043 403.029,308.077 403.055,308.111 403.081,308.145 403.106,308.179 403.132,308.213 403.158,308.247 \n",
+ " 403.183,308.281 403.209,308.314 403.235,308.348 403.26,308.382 403.286,308.416 403.312,308.45 403.338,308.484 403.363,308.518 403.389,308.552 403.415,308.586 \n",
+ " 403.44,308.62 403.466,308.654 403.492,308.688 403.517,308.722 403.543,308.756 403.569,308.79 403.594,308.824 403.62,308.858 403.646,308.892 403.671,308.925 \n",
+ " 403.697,308.959 403.723,308.993 403.748,309.027 403.774,309.061 403.8,309.095 403.825,309.129 403.851,309.163 403.877,309.197 403.903,309.231 403.928,309.265 \n",
+ " 403.954,309.299 403.98,309.333 404.005,309.367 404.031,309.401 404.057,309.435 404.082,309.469 404.108,309.503 404.134,309.536 404.159,309.57 404.185,309.604 \n",
+ " 404.211,309.638 404.236,309.672 404.262,309.706 404.288,309.74 404.313,309.774 404.339,309.808 404.365,309.842 404.391,309.876 404.416,309.91 404.442,309.944 \n",
+ " 404.468,309.978 404.493,310.012 404.519,310.046 404.545,310.08 404.57,310.114 404.596,310.147 404.622,310.181 404.647,310.215 404.673,310.249 404.699,310.283 \n",
+ " 404.724,310.317 404.75,310.351 404.776,310.385 404.801,310.419 404.827,310.453 404.853,310.487 404.878,310.521 404.904,310.555 404.93,310.589 404.956,310.623 \n",
+ " 404.981,310.657 405.007,310.691 405.033,310.725 405.058,310.759 405.084,310.792 405.11,310.826 405.135,310.86 405.161,310.894 405.187,310.928 405.212,310.962 \n",
+ " 405.238,310.996 405.264,311.03 405.289,311.064 405.315,311.098 405.341,311.132 405.366,311.166 405.392,311.2 405.418,311.234 405.444,311.268 405.469,311.302 \n",
+ " 405.495,311.336 405.521,311.37 405.546,311.403 405.572,311.437 405.598,311.471 405.623,311.505 405.649,311.539 405.675,311.573 405.7,311.607 405.726,311.641 \n",
+ " 405.752,311.675 405.777,311.709 405.803,311.743 405.829,311.777 405.854,311.811 405.88,311.845 405.906,311.879 405.931,311.913 405.957,311.947 405.983,311.981 \n",
+ " 406.009,312.014 406.034,312.048 406.06,312.082 406.086,312.116 406.111,312.15 406.137,312.184 406.163,312.218 406.188,312.252 406.214,312.286 406.24,312.32 \n",
+ " 406.265,312.354 406.291,312.388 406.317,312.422 406.342,312.456 406.368,312.49 406.394,312.524 406.419,312.558 406.445,312.592 406.471,312.625 406.497,312.659 \n",
+ " 406.522,312.693 406.548,312.727 406.574,312.761 406.599,312.795 406.625,312.829 406.651,312.863 406.676,312.897 406.702,312.931 406.728,312.965 406.753,312.999 \n",
+ " 406.779,313.033 406.805,313.067 406.83,313.101 406.856,313.135 406.882,313.169 406.907,313.203 406.933,313.237 406.959,313.27 406.984,313.304 407.01,313.338 \n",
+ " 407.036,313.372 407.062,313.406 407.087,313.44 407.113,313.474 407.139,313.508 407.164,313.542 407.19,313.576 407.216,313.61 407.241,313.644 407.267,313.678 \n",
+ " 407.293,313.712 407.318,313.746 407.344,313.78 407.37,313.814 407.395,313.848 407.421,313.881 407.447,313.915 407.472,313.949 407.498,313.983 407.524,314.017 \n",
+ " 407.55,314.051 407.575,314.085 407.601,314.119 407.627,314.153 407.652,314.187 407.678,314.221 407.704,314.255 407.729,314.289 407.755,314.323 407.781,314.357 \n",
+ " 407.806,314.391 407.832,314.425 407.858,314.459 407.883,314.492 407.909,314.526 407.935,314.56 407.96,314.594 407.986,314.628 408.012,314.662 408.038,314.696 \n",
+ " 408.063,314.73 408.089,314.764 408.115,314.798 408.14,314.832 408.166,314.866 408.192,314.9 408.217,314.934 408.243,314.968 408.269,315.002 408.294,315.036 \n",
+ " 408.32,315.07 408.346,315.103 408.371,315.137 408.397,315.171 408.423,315.205 408.448,315.239 408.474,315.273 408.5,315.307 408.525,315.341 408.551,315.375 \n",
+ " 408.577,315.409 408.603,315.443 408.628,315.477 408.654,315.511 408.68,315.545 408.705,315.579 408.731,315.613 408.757,315.647 408.782,315.681 408.808,315.715 \n",
+ " 408.834,315.748 408.859,315.782 408.885,315.816 408.911,315.85 408.936,315.884 408.962,315.918 408.988,315.952 409.013,315.986 409.039,316.02 409.065,316.054 \n",
+ " 409.091,316.088 409.116,316.122 409.142,316.156 409.168,316.19 409.193,316.224 409.219,316.258 409.245,316.292 409.27,316.326 409.296,316.359 409.322,316.393 \n",
+ " 409.347,316.427 409.373,316.461 409.399,316.495 409.424,316.529 409.45,316.563 409.476,316.597 409.501,316.631 409.527,316.665 409.553,316.699 409.578,316.733 \n",
+ " 409.604,316.767 409.63,316.801 409.656,316.835 409.681,316.869 409.707,316.903 409.733,316.937 409.758,316.97 409.784,317.004 409.81,317.038 409.835,317.072 \n",
+ " 409.861,317.106 409.887,317.14 409.912,317.174 409.938,317.208 409.964,317.242 409.989,317.276 410.015,317.31 410.041,317.344 410.066,317.378 410.092,317.412 \n",
+ " 410.118,317.446 410.144,317.48 410.169,317.514 410.195,317.548 410.221,317.581 410.246,317.615 410.272,317.649 410.298,317.683 410.323,317.717 410.349,317.751 \n",
+ " 410.375,317.785 410.4,317.819 410.426,317.853 410.452,317.887 410.477,317.921 410.503,317.955 410.529,317.989 410.554,318.023 410.58,318.057 410.606,318.091 \n",
+ " 410.631,318.125 410.657,318.159 410.683,318.193 410.709,318.226 410.734,318.26 410.76,318.294 410.786,318.328 410.811,318.362 410.837,318.396 410.863,318.43 \n",
+ " 410.888,318.464 410.914,318.498 410.94,318.532 410.965,318.566 410.991,318.6 411.017,318.634 411.042,318.668 411.068,318.702 411.094,318.736 411.119,318.77 \n",
+ " 411.145,318.804 411.171,318.837 411.197,318.871 411.222,318.905 411.248,318.939 411.274,318.973 411.299,319.007 411.325,319.041 411.351,319.075 411.376,319.109 \n",
+ " 411.402,319.143 411.428,319.177 411.453,319.211 411.479,319.245 411.505,319.279 411.53,319.313 411.556,319.347 411.582,319.381 411.607,319.415 411.633,319.448 \n",
+ " 411.659,319.482 411.684,319.516 411.71,319.55 411.736,319.584 411.762,319.618 411.787,319.652 411.813,319.686 411.839,319.72 411.864,319.754 411.89,319.788 \n",
+ " 411.916,319.822 411.941,319.856 411.967,319.89 411.993,319.924 412.018,319.958 412.044,319.992 412.07,320.026 412.095,320.059 412.121,320.093 412.147,320.127 \n",
+ " 412.172,320.161 412.198,320.195 412.224,320.229 412.25,320.263 412.275,320.297 412.301,320.331 412.327,320.365 412.352,320.399 412.378,320.433 412.404,320.467 \n",
+ " 412.429,320.501 412.455,320.535 412.481,320.569 412.506,320.603 412.532,320.637 412.558,320.671 412.583,320.704 412.609,320.738 412.635,320.772 412.66,320.806 \n",
+ " 412.686,320.84 412.712,320.874 412.737,320.908 412.763,320.942 412.789,320.976 412.815,321.01 412.84,321.044 412.866,321.078 412.892,321.112 412.917,321.146 \n",
+ " 412.943,321.18 412.969,321.214 412.994,321.248 413.02,321.282 413.046,321.315 413.071,321.349 413.097,321.383 413.123,321.417 413.148,321.451 413.174,321.485 \n",
+ " 413.2,321.519 413.225,321.553 413.251,321.587 413.277,321.621 413.303,321.655 413.328,321.689 413.354,321.723 413.38,321.757 413.405,321.791 413.431,321.825 \n",
+ " 413.457,321.859 413.482,321.893 413.508,321.926 413.534,321.96 413.559,321.994 413.585,322.028 413.611,322.062 413.636,322.096 413.662,322.13 413.688,322.164 \n",
+ " 413.713,322.198 413.739,322.232 413.765,322.266 413.791,322.3 413.816,322.334 413.842,322.368 413.868,322.402 413.893,322.436 413.919,322.47 413.945,322.504 \n",
+ " 413.97,322.537 413.996,322.571 414.022,322.605 414.047,322.639 414.073,322.673 414.099,322.707 414.124,322.741 414.15,322.775 414.176,322.809 414.201,322.843 \n",
+ " 414.227,322.877 414.253,322.911 414.278,322.945 414.304,322.979 414.33,323.013 414.356,323.047 414.381,323.081 414.407,323.115 414.433,323.149 414.458,323.182 \n",
+ " 414.484,323.216 414.51,323.25 414.535,323.284 414.561,323.318 414.587,323.352 414.612,323.386 414.638,323.42 414.664,323.454 414.689,323.488 414.715,323.522 \n",
+ " 414.741,323.556 414.766,323.59 414.792,323.624 414.818,323.658 414.844,323.692 414.869,323.726 414.895,323.76 414.921,323.793 414.946,323.827 414.972,323.861 \n",
+ " 414.998,323.895 415.023,323.929 415.049,323.963 415.075,323.997 415.1,324.031 415.126,324.065 415.152,324.099 415.177,324.133 415.203,324.167 415.229,324.201 \n",
+ " 415.254,324.235 415.28,324.269 415.306,324.303 415.331,324.337 415.357,324.371 415.383,324.404 415.409,324.438 415.434,324.472 415.46,324.506 415.486,324.54 \n",
+ " 415.511,324.574 415.537,324.608 415.563,324.642 415.588,324.676 415.614,324.71 415.64,324.744 415.665,324.778 415.691,324.812 415.717,324.846 415.742,324.88 \n",
+ " 415.768,324.914 415.794,324.948 415.819,324.982 415.845,325.015 415.871,325.049 415.897,325.083 415.922,325.117 415.948,325.151 415.974,325.185 415.999,325.219 \n",
+ " 416.025,325.253 416.051,325.287 416.076,325.321 416.102,325.355 416.128,325.389 416.153,325.423 416.179,325.457 416.205,325.491 416.23,325.525 416.256,325.559 \n",
+ " 416.282,325.593 416.307,325.627 416.333,325.66 416.359,325.694 416.384,325.728 416.41,325.762 416.436,325.796 416.462,325.83 416.487,325.864 416.513,325.898 \n",
+ " 416.539,325.932 416.564,325.966 416.59,326 416.616,326.034 416.641,326.068 416.667,326.102 416.693,326.136 416.718,326.17 416.744,326.204 416.77,326.238 \n",
+ " 416.795,326.271 416.821,326.305 416.847,326.339 416.872,326.373 416.898,326.407 416.924,326.441 416.95,326.475 416.975,326.509 417.001,326.543 417.027,326.577 \n",
+ " 417.052,326.611 417.078,326.645 417.104,326.679 417.129,326.713 417.155,326.747 417.181,326.781 417.206,326.815 417.232,326.849 417.258,326.882 417.283,326.916 \n",
+ " 417.309,326.95 417.335,326.984 417.36,327.018 417.386,327.052 417.412,327.086 417.437,327.12 417.463,327.154 417.489,327.188 417.515,327.222 417.54,327.256 \n",
+ " 417.566,327.29 417.592,327.324 417.617,327.358 417.643,327.392 417.669,327.426 417.694,327.46 417.72,327.493 417.746,327.527 417.771,327.561 417.797,327.595 \n",
+ " 417.823,327.629 417.848,327.663 417.874,327.697 417.9,327.731 417.925,327.765 417.951,327.799 417.977,327.833 418.003,327.867 418.028,327.901 418.054,327.935 \n",
+ " 418.08,327.969 418.105,328.003 418.131,328.037 418.157,328.071 418.182,328.104 418.208,328.138 418.234,328.172 418.259,328.206 418.285,328.24 418.311,328.274 \n",
+ " 418.336,328.308 418.362,328.342 418.388,328.376 418.413,328.41 418.439,328.444 418.465,328.478 418.49,328.512 418.516,328.546 418.542,328.58 418.568,328.614 \n",
+ " 418.593,328.648 418.619,328.682 418.645,328.716 418.67,328.749 418.696,328.783 418.722,328.817 418.747,328.851 418.773,328.885 418.799,328.919 418.824,328.953 \n",
+ " 418.85,328.987 418.876,329.021 418.901,329.055 418.927,329.089 418.953,329.123 418.978,329.157 419.004,329.191 419.03,329.225 419.056,329.259 419.081,329.293 \n",
+ " 419.107,329.327 419.133,329.36 419.158,329.394 419.184,329.428 419.21,329.462 419.235,329.496 419.261,329.53 419.287,329.564 419.312,329.598 419.338,329.632 \n",
+ " 419.364,329.666 419.389,329.7 419.415,329.734 419.441,329.768 419.466,329.802 419.492,329.836 419.518,329.87 419.543,329.904 419.569,329.938 419.595,329.971 \n",
+ " 419.621,330.005 419.646,330.039 419.672,330.073 419.698,330.107 419.723,330.141 419.749,330.175 419.775,330.209 419.8,330.243 419.826,330.277 419.852,330.311 \n",
+ " 419.877,330.345 419.903,330.379 419.929,330.413 419.954,330.447 419.98,330.481 420.006,330.515 420.031,330.549 420.057,330.582 420.083,330.616 420.109,330.65 \n",
+ " 420.134,330.684 420.16,330.718 420.186,330.752 420.211,330.786 420.237,330.82 420.263,330.854 420.288,330.888 420.314,330.922 420.34,330.956 420.365,330.99 \n",
+ " 420.391,331.024 420.417,331.058 420.442,331.092 420.468,331.126 420.494,331.16 420.519,331.194 420.545,331.227 420.571,331.261 420.597,331.295 420.622,331.329 \n",
+ " 420.648,331.363 420.674,331.397 420.699,331.431 420.725,331.465 420.751,331.499 420.776,331.533 420.802,331.567 420.828,331.601 420.853,331.635 420.879,331.669 \n",
+ " 420.905,331.703 420.93,331.737 420.956,331.771 420.982,331.805 421.007,331.838 421.033,331.872 421.059,331.906 421.084,331.94 421.11,331.974 421.136,332.008 \n",
+ " 421.162,332.042 421.187,332.076 421.213,332.11 421.239,332.144 421.264,332.178 421.29,332.212 421.316,332.246 421.341,332.28 421.367,332.314 421.393,332.348 \n",
+ " 421.418,332.382 421.444,332.416 421.47,332.449 421.495,332.483 421.521,332.517 421.547,332.551 421.572,332.585 421.598,332.619 421.624,332.653 421.65,332.687 \n",
+ " 421.675,332.721 421.701,332.755 421.727,332.789 421.752,332.823 421.778,332.857 421.804,332.891 421.829,332.925 421.855,332.959 421.881,332.993 421.906,333.027 \n",
+ " 421.932,333.06 421.958,333.094 421.983,333.128 422.009,333.162 422.035,333.196 422.06,333.23 422.086,333.264 422.112,333.298 422.137,333.332 422.163,333.366 \n",
+ " 422.189,333.4 422.215,333.434 422.24,333.468 422.266,333.502 422.292,333.536 422.317,333.57 422.343,333.604 422.369,333.638 422.394,333.672 422.42,333.705 \n",
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+ " 1003.65,1101.92 1003.68,1101.95 1003.7,1101.99 1003.73,1102.02 1003.76,1102.05 1003.78,1102.09 1003.81,1102.12 1003.83,1102.16 1003.86,1102.19 1003.88,1102.22 \n",
+ " 1003.91,1102.26 1003.94,1102.29 1003.96,1102.33 1003.99,1102.36 1004.01,1102.39 1004.04,1102.43 1004.06,1102.46 1004.09,1102.5 1004.11,1102.53 1004.14,1102.56 \n",
+ " 1004.17,1102.6 1004.19,1102.63 1004.22,1102.67 1004.24,1102.7 1004.27,1102.73 1004.29,1102.77 1004.32,1102.8 1004.35,1102.84 1004.37,1102.87 1004.4,1102.9 \n",
+ " 1004.42,1102.94 1004.45,1102.97 1004.47,1103.01 1004.5,1103.04 1004.53,1103.07 1004.55,1103.11 1004.58,1103.14 1004.6,1103.17 1004.63,1103.21 1004.65,1103.24 \n",
+ " 1004.68,1103.28 1004.71,1103.31 1004.73,1103.34 1004.76,1103.38 1004.78,1103.41 1004.81,1103.45 1004.83,1103.48 1004.86,1103.51 1004.89,1103.55 1004.91,1103.58 \n",
+ " 1004.94,1103.62 1004.96,1103.65 1004.99,1103.68 1005.01,1103.72 1005.04,1103.75 1005.07,1103.79 1005.09,1103.82 1005.12,1103.85 1005.14,1103.89 1005.17,1103.92 \n",
+ " 1005.19,1103.96 1005.22,1103.99 1005.25,1104.02 1005.27,1104.06 1005.3,1104.09 1005.32,1104.13 1005.35,1104.16 1005.37,1104.19 1005.4,1104.23 1005.42,1104.26 \n",
+ " 1005.45,1104.3 1005.48,1104.33 1005.5,1104.36 1005.53,1104.4 1005.55,1104.43 1005.58,1104.46 1005.6,1104.5 1005.63,1104.53 1005.66,1104.57 1005.68,1104.6 \n",
+ " 1005.71,1104.63 1005.73,1104.67 1005.76,1104.7 1005.78,1104.74 1005.81,1104.77 1005.84,1104.8 1005.86,1104.84 1005.89,1104.87 1005.91,1104.91 1005.94,1104.94 \n",
+ " 1005.96,1104.97 1005.99,1105.01 1006.02,1105.04 1006.04,1105.08 1006.07,1105.11 1006.09,1105.14 1006.12,1105.18 1006.14,1105.21 1006.17,1105.25 1006.2,1105.28 \n",
+ " 1006.22,1105.31 1006.25,1105.35 1006.27,1105.38 1006.3,1105.42 1006.32,1105.45 1006.35,1105.48 1006.38,1105.52 1006.4,1105.55 1006.43,1105.58 1006.45,1105.62 \n",
+ " 1006.48,1105.65 1006.5,1105.69 1006.53,1105.72 1006.55,1105.75 1006.58,1105.79 1006.61,1105.82 1006.63,1105.86 1006.66,1105.89 1006.68,1105.92 1006.71,1105.96 \n",
+ " 1006.73,1105.99 1006.76,1106.03 1006.79,1106.06 1006.81,1106.09 1006.84,1106.13 1006.86,1106.16 1006.89,1106.2 1006.91,1106.23 1006.94,1106.26 1006.97,1106.3 \n",
+ " 1006.99,1106.33 1007.02,1106.37 1007.04,1106.4 1007.07,1106.43 1007.09,1106.47 1007.12,1106.5 1007.15,1106.54 1007.17,1106.57 1007.2,1106.6 1007.22,1106.64 \n",
+ " 1007.25,1106.67 1007.27,1106.71 1007.3,1106.74 1007.33,1106.77 1007.35,1106.81 1007.38,1106.84 1007.4,1106.87 1007.43,1106.91 1007.45,1106.94 1007.48,1106.98 \n",
+ " 1007.51,1107.01 1007.53,1107.04 1007.56,1107.08 1007.58,1107.11 1007.61,1107.15 1007.63,1107.18 1007.66,1107.21 1007.68,1107.25 1007.71,1107.28 1007.74,1107.32 \n",
+ " 1007.76,1107.35 1007.79,1107.38 1007.81,1107.42 1007.84,1107.45 1007.86,1107.49 1007.89,1107.52 1007.92,1107.55 1007.94,1107.59 1007.97,1107.62 1007.99,1107.66 \n",
+ " 1008.02,1107.69 1008.04,1107.72 1008.07,1107.76 1008.1,1107.79 1008.12,1107.83 1008.15,1107.86 1008.17,1107.89 1008.2,1107.93 1008.22,1107.96 1008.25,1108 \n",
+ " 1008.28,1108.03 1008.3,1108.06 1008.33,1108.1 1008.35,1108.13 1008.38,1108.16 1008.4,1108.2 1008.43,1108.23 1008.46,1108.27 1008.48,1108.3 1008.51,1108.33 \n",
+ " 1008.53,1108.37 1008.56,1108.4 1008.58,1108.44 1008.61,1108.47 1008.64,1108.5 1008.66,1108.54 1008.69,1108.57 1008.71,1108.61 1008.74,1108.64 1008.76,1108.67 \n",
+ " 1008.79,1108.71 1008.81,1108.74 1008.84,1108.78 1008.87,1108.81 1008.89,1108.84 1008.92,1108.88 1008.94,1108.91 1008.97,1108.95 1008.99,1108.98 1009.02,1109.01 \n",
+ " 1009.05,1109.05 1009.07,1109.08 1009.1,1109.12 1009.12,1109.15 1009.15,1109.18 1009.17,1109.22 1009.2,1109.25 1009.23,1109.28 1009.25,1109.32 1009.28,1109.35 \n",
+ " 1009.3,1109.39 1009.33,1109.42 1009.35,1109.45 1009.38,1109.49 1009.41,1109.52 1009.43,1109.56 1009.46,1109.59 1009.48,1109.62 1009.51,1109.66 1009.53,1109.69 \n",
+ " 1009.56,1109.73 1009.59,1109.76 1009.61,1109.79 1009.64,1109.83 1009.66,1109.86 1009.69,1109.9 1009.71,1109.93 1009.74,1109.96 1009.77,1110 1009.79,1110.03 \n",
+ " 1009.82,1110.07 1009.84,1110.1 1009.87,1110.13 1009.89,1110.17 1009.92,1110.2 1009.95,1110.24 1009.97,1110.27 1010,1110.3 1010.02,1110.34 1010.05,1110.37 \n",
+ " 1010.07,1110.41 1010.1,1110.44 1010.12,1110.47 1010.15,1110.51 1010.18,1110.54 1010.2,1110.57 1010.23,1110.61 1010.25,1110.64 1010.28,1110.68 1010.3,1110.71 \n",
+ " 1010.33,1110.74 1010.36,1110.78 1010.38,1110.81 1010.41,1110.85 1010.43,1110.88 1010.46,1110.91 1010.48,1110.95 1010.51,1110.98 1010.54,1111.02 1010.56,1111.05 \n",
+ " 1010.59,1111.08 1010.61,1111.12 1010.64,1111.15 1010.66,1111.19 1010.69,1111.22 1010.72,1111.25 1010.74,1111.29 1010.77,1111.32 1010.79,1111.36 1010.82,1111.39 \n",
+ " 1010.84,1111.42 1010.87,1111.46 1010.9,1111.49 1010.92,1111.53 1010.95,1111.56 1010.97,1111.59 1011,1111.63 1011.02,1111.66 1011.05,1111.7 1011.08,1111.73 \n",
+ " 1011.1,1111.76 1011.13,1111.8 1011.15,1111.83 1011.18,1111.86 1011.2,1111.9 1011.23,1111.93 1011.25,1111.97 1011.28,1112 1011.31,1112.03 1011.33,1112.07 \n",
+ " 1011.36,1112.1 1011.38,1112.14 1011.41,1112.17 1011.43,1112.2 1011.46,1112.24 1011.49,1112.27 1011.51,1112.31 1011.54,1112.34 1011.56,1112.37 1011.59,1112.41 \n",
+ " 1011.61,1112.44 1011.64,1112.48 1011.67,1112.51 1011.69,1112.54 1011.72,1112.58 1011.74,1112.61 1011.77,1112.65 1011.79,1112.68 1011.82,1112.71 1011.85,1112.75 \n",
+ " 1011.87,1112.78 1011.9,1112.82 1011.92,1112.85 1011.95,1112.88 1011.97,1112.92 1012,1112.95 1012.03,1112.99 1012.05,1113.02 1012.08,1113.05 1012.1,1113.09 \n",
+ " 1012.13,1113.12 1012.15,1113.15 1012.18,1113.19 1012.21,1113.22 1012.23,1113.26 1012.26,1113.29 1012.28,1113.32 1012.31,1113.36 1012.33,1113.39 1012.36,1113.43 \n",
+ " 1012.38,1113.46 1012.41,1113.49 1012.44,1113.53 1012.46,1113.56 1012.49,1113.6 1012.51,1113.63 1012.54,1113.66 1012.56,1113.7 1012.59,1113.73 1012.62,1113.77 \n",
+ " 1012.64,1113.8 1012.67,1113.83 1012.69,1113.87 1012.72,1113.9 1012.74,1113.94 1012.77,1113.97 1012.8,1114 1012.82,1114.04 1012.85,1114.07 1012.87,1114.11 \n",
+ " 1012.9,1114.14 1012.92,1114.17 1012.95,1114.21 1012.98,1114.24 1013,1114.27 1013.03,1114.31 1013.05,1114.34 1013.08,1114.38 1013.1,1114.41 1013.13,1114.44 \n",
+ " 1013.16,1114.48 1013.18,1114.51 1013.21,1114.55 1013.23,1114.58 1013.26,1114.61 1013.28,1114.65 1013.31,1114.68 1013.34,1114.72 1013.36,1114.75 1013.39,1114.78 \n",
+ " 1013.41,1114.82 1013.44,1114.85 1013.46,1114.89 1013.49,1114.92 1013.51,1114.95 1013.54,1114.99 1013.57,1115.02 1013.59,1115.06 1013.62,1115.09 1013.64,1115.12 \n",
+ " 1013.67,1115.16 1013.69,1115.19 1013.72,1115.23 1013.75,1115.26 1013.77,1115.29 1013.8,1115.33 1013.82,1115.36 1013.85,1115.4 1013.87,1115.43 1013.9,1115.46 \n",
+ " 1013.93,1115.5 1013.95,1115.53 1013.98,1115.56 1014,1115.6 1014.03,1115.63 1014.05,1115.67 1014.08,1115.7 1014.11,1115.73 1014.13,1115.77 1014.16,1115.8 \n",
+ " 1014.18,1115.84 1014.21,1115.87 1014.23,1115.9 1014.26,1115.94 1014.29,1115.97 1014.31,1116.01 1014.34,1116.04 1014.36,1116.07 1014.39,1116.11 1014.41,1116.14 \n",
+ " 1014.44,1116.18 1014.47,1116.21 1014.49,1116.24 1014.52,1116.28 1014.54,1116.31 1014.57,1116.35 1014.59,1116.38 1014.62,1116.41 1014.65,1116.45 1014.67,1116.48 \n",
+ " 1014.7,1116.52 1014.72,1116.55 1014.75,1116.58 1014.77,1116.62 1014.8,1116.65 1014.82,1116.69 1014.85,1116.72 1014.88,1116.75 1014.9,1116.79 1014.93,1116.82 \n",
+ " 1014.95,1116.85 1014.98,1116.89 1015,1116.92 1015.03,1116.96 1015.06,1116.99 1015.08,1117.02 1015.11,1117.06 1015.13,1117.09 1015.16,1117.13 1015.18,1117.16 \n",
+ " 1015.21,1117.19 1015.24,1117.23 1015.26,1117.26 1015.29,1117.3 1015.31,1117.33 1015.34,1117.36 1015.36,1117.4 1015.39,1117.43 1015.42,1117.47 1015.44,1117.5 \n",
+ " 1015.47,1117.53 1015.49,1117.57 1015.52,1117.6 1015.54,1117.64 1015.57,1117.67 1015.6,1117.7 1015.62,1117.74 1015.65,1117.77 1015.67,1117.81 1015.7,1117.84 \n",
+ " 1015.72,1117.87 1015.75,1117.91 1015.78,1117.94 1015.8,1117.97 1015.83,1118.01 1015.85,1118.04 1015.88,1118.08 1015.9,1118.11 1015.93,1118.14 1015.95,1118.18 \n",
+ " 1015.98,1118.21 1016.01,1118.25 1016.03,1118.28 1016.06,1118.31 1016.08,1118.35 1016.11,1118.38 1016.13,1118.42 1016.16,1118.45 1016.19,1118.48 1016.21,1118.52 \n",
+ " 1016.24,1118.55 1016.26,1118.59 1016.29,1118.62 1016.31,1118.65 1016.34,1118.69 1016.37,1118.72 1016.39,1118.76 1016.42,1118.79 1016.44,1118.82 1016.47,1118.86 \n",
+ " 1016.49,1118.89 1016.52,1118.93 1016.55,1118.96 1016.57,1118.99 1016.6,1119.03 1016.62,1119.06 1016.65,1119.1 1016.67,1119.13 1016.7,1119.16 1016.73,1119.2 \n",
+ " 1016.75,1119.23 1016.78,1119.26 1016.8,1119.3 1016.83,1119.33 1016.85,1119.37 1016.88,1119.4 1016.91,1119.43 1016.93,1119.47 1016.96,1119.5 1016.98,1119.54 \n",
+ " 1017.01,1119.57 1017.03,1119.6 1017.06,1119.64 1017.08,1119.67 1017.11,1119.71 1017.14,1119.74 1017.16,1119.77 1017.19,1119.81 1017.21,1119.84 1017.24,1119.88 \n",
+ " 1017.26,1119.91 1017.29,1119.94 1017.32,1119.98 1017.34,1120.01 1017.37,1120.05 1017.39,1120.08 1017.42,1120.11 1017.44,1120.15 1017.47,1120.18 1017.5,1120.22 \n",
+ " 1017.52,1120.25 1017.55,1120.28 1017.57,1120.32 1017.6,1120.35 1017.62,1120.39 1017.65,1120.42 1017.68,1120.45 1017.7,1120.49 1017.73,1120.52 1017.75,1120.55 \n",
+ " 1017.78,1120.59 1017.8,1120.62 1017.83,1120.66 1017.86,1120.69 1017.88,1120.72 1017.91,1120.76 1017.93,1120.79 1017.96,1120.83 1017.98,1120.86 1018.01,1120.89 \n",
+ " 1018.04,1120.93 1018.06,1120.96 1018.09,1121 1018.11,1121.03 1018.14,1121.06 1018.16,1121.1 1018.19,1121.13 1018.21,1121.17 1018.24,1121.2 1018.27,1121.23 \n",
+ " 1018.29,1121.27 1018.32,1121.3 1018.34,1121.34 1018.37,1121.37 1018.39,1121.4 1018.42,1121.44 1018.45,1121.47 1018.47,1121.51 1018.5,1121.54 1018.52,1121.57 \n",
+ " 1018.55,1121.61 1018.57,1121.64 1018.6,1121.67 1018.63,1121.71 1018.65,1121.74 1018.68,1121.78 1018.7,1121.81 1018.73,1121.84 1018.75,1121.88 1018.78,1121.91 \n",
+ " 1018.81,1121.95 1018.83,1121.98 1018.86,1122.01 1018.88,1122.05 1018.91,1122.08 1018.93,1122.12 1018.96,1122.15 1018.99,1122.18 1019.01,1122.22 1019.04,1122.25 \n",
+ " 1019.06,1122.29 1019.09,1122.32 1019.11,1122.35 1019.14,1122.39 1019.17,1122.42 1019.19,1122.46 1019.22,1122.49 1019.24,1122.52 1019.27,1122.56 1019.29,1122.59 \n",
+ " 1019.32,1122.63 1019.35,1122.66 1019.37,1122.69 1019.4,1122.73 1019.42,1122.76 1019.45,1122.8 1019.47,1122.83 1019.5,1122.86 1019.52,1122.9 1019.55,1122.93 \n",
+ " 1019.58,1122.96 1019.6,1123 1019.63,1123.03 1019.65,1123.07 1019.68,1123.1 1019.7,1123.13 1019.73,1123.17 1019.76,1123.2 1019.78,1123.24 1019.81,1123.27 \n",
+ " 1019.83,1123.3 1019.86,1123.34 1019.88,1123.37 1019.91,1123.41 1019.94,1123.44 1019.96,1123.47 1019.99,1123.51 1020.01,1123.54 1020.04,1123.58 1020.06,1123.61 \n",
+ " 1020.09,1123.64 1020.12,1123.68 1020.14,1123.71 1020.17,1123.75 1020.19,1123.78 1020.22,1123.81 1020.24,1123.85 1020.27,1123.88 1020.3,1123.92 1020.32,1123.95 \n",
+ " 1020.35,1123.98 1020.37,1124.02 1020.4,1124.05 1020.42,1124.09 1020.45,1124.12 1020.48,1124.15 1020.5,1124.19 1020.53,1124.22 1020.55,1124.25 1020.58,1124.29 \n",
+ " 1020.6,1124.32 1020.63,1124.36 1020.65,1124.39 1020.68,1124.42 1020.71,1124.46 1020.73,1124.49 1020.76,1124.53 1020.78,1124.56 1020.81,1124.59 1020.83,1124.63 \n",
+ " 1020.86,1124.66 1020.89,1124.7 1020.91,1124.73 1020.94,1124.76 1020.96,1124.8 1020.99,1124.83 1021.01,1124.87 1021.04,1124.9 1021.07,1124.93 1021.09,1124.97 \n",
+ " 1021.12,1125 1021.14,1125.04 1021.17,1125.07 1021.19,1125.1 1021.22,1125.14 1021.25,1125.17 1021.27,1125.21 1021.3,1125.24 1021.32,1125.27 1021.35,1125.31 \n",
+ " 1021.37,1125.34 1021.4,1125.38 1021.43,1125.41 1021.45,1125.44 1021.48,1125.48 1021.5,1125.51 1021.53,1125.54 1021.55,1125.58 1021.58,1125.61 1021.61,1125.65 \n",
+ " 1021.63,1125.68 1021.66,1125.71 1021.68,1125.75 1021.71,1125.78 1021.73,1125.82 1021.76,1125.85 1021.78,1125.88 1021.81,1125.92 1021.84,1125.95 1021.86,1125.99 \n",
+ " 1021.89,1126.02 1021.91,1126.05 1021.94,1126.09 1021.96,1126.12 1021.99,1126.16 1022.02,1126.19 1022.04,1126.22 1022.07,1126.26 1022.09,1126.29 1022.12,1126.33 \n",
+ " 1022.14,1126.36 1022.17,1126.39 1022.2,1126.43 1022.22,1126.46 1022.25,1126.5 1022.27,1126.53 1022.3,1126.56 1022.32,1126.6 1022.35,1126.63 1022.38,1126.66 \n",
+ " 1022.4,1126.7 1022.43,1126.73 1022.45,1126.77 1022.48,1126.8 1022.5,1126.83 1022.53,1126.87 1022.56,1126.9 1022.58,1126.94 1022.61,1126.97 1022.63,1127 \n",
+ " 1022.66,1127.04 1022.68,1127.07 1022.71,1127.11 1022.74,1127.14 1022.76,1127.17 1022.79,1127.21 1022.81,1127.24 1022.84,1127.28 1022.86,1127.31 1022.89,1127.34 \n",
+ " 1022.91,1127.38 1022.94,1127.41 1022.97,1127.45 1022.99,1127.48 1023.02,1127.51 1023.04,1127.55 1023.07,1127.58 1023.09,1127.62 1023.12,1127.65 1023.15,1127.68 \n",
+ " 1023.17,1127.72 1023.2,1127.75 1023.22,1127.79 1023.25,1127.82 1023.27,1127.85 1023.3,1127.89 1023.33,1127.92 1023.35,1127.95 1023.38,1127.99 1023.4,1128.02 \n",
+ " 1023.43,1128.06 1023.45,1128.09 1023.48,1128.12 1023.51,1128.16 1023.53,1128.19 1023.56,1128.23 1023.58,1128.26 1023.61,1128.29 1023.63,1128.33 1023.66,1128.36 \n",
+ " 1023.69,1128.4 1023.71,1128.43 1023.74,1128.46 1023.76,1128.5 1023.79,1128.53 1023.81,1128.57 1023.84,1128.6 1023.87,1128.63 1023.89,1128.67 1023.92,1128.7 \n",
+ " 1023.94,1128.74 1023.97,1128.77 1023.99,1128.8 1024.02,1128.84 1024.05,1128.87 1024.07,1128.91 1024.1,1128.94 1024.12,1128.97 1024.15,1129.01 1024.17,1129.04 \n",
+ " 1024.2,1129.08 1024.22,1129.11 1024.25,1129.14 1024.28,1129.18 1024.3,1129.21 1024.33,1129.24 1024.35,1129.28 1024.38,1129.31 1024.4,1129.35 1024.43,1129.38 \n",
+ " 1024.46,1129.41 1024.48,1129.45 1024.51,1129.48 1024.53,1129.52 1024.56,1129.55 1024.58,1129.58 1024.61,1129.62 1024.64,1129.65 1024.66,1129.69 1024.69,1129.72 \n",
+ " 1024.71,1129.75 1024.74,1129.79 1024.76,1129.82 1024.79,1129.86 1024.82,1129.89 1024.84,1129.92 1024.87,1129.96 1024.89,1129.99 1024.92,1130.03 1024.94,1130.06 \n",
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+ " 1111.01,1243.81 1111.03,1243.84 1111.06,1243.88 1111.08,1243.91 1111.11,1243.95 1111.14,1243.98 1111.16,1244.01 1111.19,1244.05 1111.21,1244.08 1111.24,1244.12 \n",
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+ " 1112.29,1245.51 1112.32,1245.54 1112.34,1245.57 1112.37,1245.61 1112.39,1245.64 1112.42,1245.68 1112.45,1245.71 1112.47,1245.74 1112.5,1245.78 1112.52,1245.81 \n",
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+ " 1113.32,1246.86 1113.34,1246.9 1113.37,1246.93 1113.4,1246.97 1113.42,1247 1113.45,1247.03 1113.47,1247.07 1113.5,1247.1 1113.52,1247.14 1113.55,1247.17 \n",
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+ " 1113.83,1247.54 1113.86,1247.58 1113.88,1247.61 1113.91,1247.65 1113.94,1247.68 1113.96,1247.71 1113.99,1247.75 1114.01,1247.78 1114.04,1247.82 1114.06,1247.85 \n",
+ " 1114.09,1247.88 1114.12,1247.92 1114.14,1247.95 1114.17,1247.99 1114.19,1248.02 1114.22,1248.05 1114.24,1248.09 1114.27,1248.12 1114.3,1248.15 1114.32,1248.19 \n",
+ " 1114.35,1248.22 1114.37,1248.26 1114.4,1248.29 1114.42,1248.32 1114.45,1248.36 1114.47,1248.39 1114.5,1248.43 1114.53,1248.46 1114.55,1248.49 1114.58,1248.53 \n",
+ " 1114.6,1248.56 1114.63,1248.6 1114.65,1248.63 1114.68,1248.66 1114.71,1248.7 1114.73,1248.73 1114.76,1248.77 1114.78,1248.8 1114.81,1248.83 1114.83,1248.87 \n",
+ " 1114.86,1248.9 1114.89,1248.94 1114.91,1248.97 1114.94,1249 1114.96,1249.04 1114.99,1249.07 1115.01,1249.11 1115.04,1249.14 1115.07,1249.17 1115.09,1249.21 \n",
+ " 1115.12,1249.24 1115.14,1249.27 1115.17,1249.31 1115.19,1249.34 1115.22,1249.38 1115.25,1249.41 1115.27,1249.44 1115.3,1249.48 1115.32,1249.51 1115.35,1249.55 \n",
+ " 1115.37,1249.58 1115.4,1249.61 1115.43,1249.65 1115.45,1249.68 1115.48,1249.72 1115.5,1249.75 1115.53,1249.78 1115.55,1249.82 1115.58,1249.85 1115.61,1249.89 \n",
+ " 1115.63,1249.92 1115.66,1249.95 1115.68,1249.99 1115.71,1250.02 1115.73,1250.06 1115.76,1250.09 1115.78,1250.12 1115.81,1250.16 1115.84,1250.19 1115.86,1250.23 \n",
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+ " 1116.14,1250.6 1116.17,1250.63 1116.2,1250.67 1116.22,1250.7 1116.25,1250.73 1116.27,1250.77 1116.3,1250.8 1116.32,1250.84 1116.35,1250.87 1116.38,1250.9 \n",
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+ " 1116.91,1251.62 1116.94,1251.65 1116.97,1251.69 1116.99,1251.72 1117.02,1251.75 1117.04,1251.79 1117.07,1251.82 1117.09,1251.85 1117.12,1251.89 1117.15,1251.92 \n",
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+ " 1117.69,1252.64 1117.71,1252.67 1117.74,1252.7 1117.76,1252.74 1117.79,1252.77 1117.81,1252.81 1117.84,1252.84 1117.87,1252.87 1117.89,1252.91 1117.92,1252.94 \n",
+ " 1117.94,1252.97 1117.97,1253.01 1117.99,1253.04 1118.02,1253.08 1118.04,1253.11 1118.07,1253.14 1118.1,1253.18 1118.12,1253.21 1118.15,1253.25 1118.17,1253.28 \n",
+ " 1118.2,1253.31 1118.22,1253.35 1118.25,1253.38 1118.28,1253.42 1118.3,1253.45 1118.33,1253.48 1118.35,1253.52 1118.38,1253.55 1118.4,1253.59 1118.43,1253.62 \n",
+ " 1118.46,1253.65 1118.48,1253.69 1118.51,1253.72 1118.53,1253.76 1118.56,1253.79 1118.58,1253.82 1118.61,1253.86 1118.64,1253.89 1118.66,1253.93 1118.69,1253.96 \n",
+ " 1118.71,1253.99 1118.74,1254.03 1118.76,1254.06 1118.79,1254.1 1118.82,1254.13 1118.84,1254.16 1118.87,1254.2 1118.89,1254.23 1118.92,1254.26 1118.94,1254.3 \n",
+ " 1118.97,1254.33 1119,1254.37 1119.02,1254.4 1119.05,1254.43 1119.07,1254.47 1119.1,1254.5 1119.12,1254.54 1119.15,1254.57 1119.17,1254.6 1119.2,1254.64 \n",
+ " 1119.23,1254.67 1119.25,1254.71 1119.28,1254.74 1119.3,1254.77 1119.33,1254.81 1119.35,1254.84 1119.38,1254.88 1119.41,1254.91 1119.43,1254.94 1119.46,1254.98 \n",
+ " 1119.48,1255.01 1119.51,1255.05 1119.53,1255.08 1119.56,1255.11 1119.59,1255.15 1119.61,1255.18 1119.64,1255.22 1119.66,1255.25 1119.69,1255.28 1119.71,1255.32 \n",
+ " 1119.74,1255.35 1119.77,1255.39 1119.79,1255.42 1119.82,1255.45 1119.84,1255.49 1119.87,1255.52 1119.89,1255.55 1119.92,1255.59 1119.95,1255.62 1119.97,1255.66 \n",
+ " 1120,1255.69 1120.02,1255.72 1120.05,1255.76 1120.07,1255.79 1120.1,1255.83 1120.13,1255.86 1120.15,1255.89 1120.18,1255.93 1120.2,1255.96 1120.23,1256 \n",
+ " 1120.25,1256.03 1120.28,1256.06 1120.31,1256.1 1120.33,1256.13 1120.36,1256.17 1120.38,1256.2 1120.41,1256.23 1120.43,1256.27 1120.46,1256.3 1120.48,1256.34 \n",
+ " 1120.51,1256.37 1120.54,1256.4 1120.56,1256.44 1120.59,1256.47 1120.61,1256.51 1120.64,1256.54 1120.66,1256.57 1120.69,1256.61 1120.72,1256.64 1120.74,1256.67 \n",
+ " 1120.77,1256.71 1120.79,1256.74 1120.82,1256.78 1120.84,1256.81 1120.87,1256.84 1120.9,1256.88 1120.92,1256.91 1120.95,1256.95 1120.97,1256.98 1121,1257.01 \n",
+ " 1121.02,1257.05 1121.05,1257.08 1121.08,1257.12 1121.1,1257.15 1121.13,1257.18 1121.15,1257.22 1121.18,1257.25 1121.2,1257.29 1121.23,1257.32 1121.26,1257.35 \n",
+ " 1121.28,1257.39 1121.31,1257.42 1121.33,1257.46 1121.36,1257.49 1121.38,1257.52 1121.41,1257.56 1121.44,1257.59 1121.46,1257.63 1121.49,1257.66 1121.51,1257.69 \n",
+ " 1121.54,1257.73 1121.56,1257.76 1121.59,1257.8 1121.61,1257.83 1121.64,1257.86 1121.67,1257.9 1121.69,1257.93 1121.72,1257.96 1121.74,1258 1121.77,1258.03 \n",
+ " 1121.79,1258.07 1121.82,1258.1 1121.85,1258.13 1121.87,1258.17 1121.9,1258.2 1121.92,1258.24 1121.95,1258.27 1121.97,1258.3 1122,1258.34 1122.03,1258.37 \n",
+ " 1122.05,1258.41 1122.08,1258.44 1122.1,1258.47 1122.13,1258.51 1122.15,1258.54 1122.18,1258.58 1122.21,1258.61 1122.23,1258.64 1122.26,1258.68 1122.28,1258.71 \n",
+ " 1122.31,1258.75 1122.33,1258.78 1122.36,1258.81 1122.39,1258.85 1122.41,1258.88 1122.44,1258.92 1122.46,1258.95 1122.49,1258.98 1122.51,1259.02 1122.54,1259.05 \n",
+ " 1122.57,1259.09 1122.59,1259.12 1122.62,1259.15 1122.64,1259.19 1122.67,1259.22 1122.69,1259.25 1122.72,1259.29 1122.74,1259.32 1122.77,1259.36 1122.8,1259.39 \n",
+ " 1122.82,1259.42 1122.85,1259.46 1122.87,1259.49 1122.9,1259.53 1122.92,1259.56 1122.95,1259.59 1122.98,1259.63 1123,1259.66 1123.03,1259.7 1123.05,1259.73 \n",
+ " 1123.08,1259.76 1123.1,1259.8 1123.13,1259.83 1123.16,1259.87 1123.18,1259.9 1123.21,1259.93 1123.23,1259.97 1123.26,1260 1123.28,1260.04 1123.31,1260.07 \n",
+ " 1123.34,1260.1 1123.36,1260.14 1123.39,1260.17 1123.41,1260.21 1123.44,1260.24 1123.46,1260.27 1123.49,1260.31 1123.52,1260.34 1123.54,1260.37 1123.57,1260.41 \n",
+ " 1123.59,1260.44 1123.62,1260.48 1123.64,1260.51 1123.67,1260.54 1123.7,1260.58 1123.72,1260.61 1123.75,1260.65 1123.77,1260.68 1123.8,1260.71 1123.82,1260.75 \n",
+ " 1123.85,1260.78 1123.87,1260.82 1123.9,1260.85 1123.93,1260.88 1123.95,1260.92 1123.98,1260.95 1124,1260.99 1124.03,1261.02 1124.05,1261.05 1124.08,1261.09 \n",
+ " 1124.11,1261.12 1124.13,1261.16 1124.16,1261.19 1124.18,1261.22 1124.21,1261.26 1124.23,1261.29 1124.26,1261.33 1124.29,1261.36 1124.31,1261.39 1124.34,1261.43 \n",
+ " 1124.36,1261.46 1124.39,1261.5 1124.41,1261.53 1124.44,1261.56 1124.47,1261.6 1124.49,1261.63 1124.52,1261.66 1124.54,1261.7 1124.57,1261.73 1124.59,1261.77 \n",
+ " 1124.62,1261.8 1124.65,1261.83 1124.67,1261.87 1124.7,1261.9 1124.72,1261.94 1124.75,1261.97 1124.77,1262 1124.8,1262.04 1124.83,1262.07 1124.85,1262.11 \n",
+ " 1124.88,1262.14 1124.9,1262.17 1124.93,1262.21 1124.95,1262.24 1124.98,1262.28 1125.01,1262.31 1125.03,1262.34 1125.06,1262.38 1125.08,1262.41 1125.11,1262.45 \n",
+ " 1125.13,1262.48 1125.16,1262.51 1125.18,1262.55 1125.21,1262.58 1125.24,1262.62 1125.26,1262.65 1125.29,1262.68 1125.31,1262.72 1125.34,1262.75 1125.36,1262.79 \n",
+ " 1125.39,1262.82 1125.42,1262.85 1125.44,1262.89 1125.47,1262.92 1125.49,1262.95 1125.52,1262.99 1125.54,1263.02 1125.57,1263.06 1125.6,1263.09 1125.62,1263.12 \n",
+ " 1125.65,1263.16 1125.67,1263.19 1125.7,1263.23 1125.72,1263.26 1125.75,1263.29 1125.78,1263.33 1125.8,1263.36 1125.83,1263.4 1125.85,1263.43 1125.88,1263.46 \n",
+ " 1125.9,1263.5 1125.93,1263.53 1125.96,1263.57 1125.98,1263.6 1126.01,1263.63 1126.03,1263.67 1126.06,1263.7 1126.08,1263.74 1126.11,1263.77 1126.14,1263.8 \n",
+ " 1126.16,1263.84 1126.19,1263.87 1126.21,1263.91 1126.24,1263.94 1126.26,1263.97 1126.29,1264.01 1126.31,1264.04 1126.34,1264.08 1126.37,1264.11 1126.39,1264.14 \n",
+ " 1126.42,1264.18 1126.44,1264.21 1126.47,1264.24 1126.49,1264.28 1126.52,1264.31 1126.55,1264.35 1126.57,1264.38 1126.6,1264.41 1126.62,1264.45 1126.65,1264.48 \n",
+ " 1126.67,1264.52 1126.7,1264.55 1126.73,1264.58 1126.75,1264.62 1126.78,1264.65 1126.8,1264.69 1126.83,1264.72 1126.85,1264.75 1126.88,1264.79 1126.91,1264.82 \n",
+ " 1126.93,1264.86 1126.96,1264.89 1126.98,1264.92 1127.01,1264.96 1127.03,1264.99 1127.06,1265.03 1127.09,1265.06 1127.11,1265.09 1127.14,1265.13 1127.16,1265.16 \n",
+ " 1127.19,1265.2 1127.21,1265.23 1127.24,1265.26 1127.27,1265.3 1127.29,1265.33 1127.32,1265.36 1127.34,1265.4 1127.37,1265.43 1127.39,1265.47 1127.42,1265.5 \n",
+ " 1127.44,1265.53 1127.47,1265.57 1127.5,1265.6 1127.52,1265.64 1127.55,1265.67 1127.57,1265.7 1127.6,1265.74 1127.62,1265.77 1127.65,1265.81 1127.68,1265.84 \n",
+ " 1127.7,1265.87 1127.73,1265.91 1127.75,1265.94 1127.78,1265.98 1127.8,1266.01 1127.83,1266.04 1127.86,1266.08 1127.88,1266.11 1127.91,1266.15 1127.93,1266.18 \n",
+ " 1127.96,1266.21 1127.98,1266.25 1128.01,1266.28 1128.04,1266.32 1128.06,1266.35 1128.09,1266.38 1128.11,1266.42 1128.14,1266.45 1128.16,1266.49 1128.19,1266.52 \n",
+ " 1128.22,1266.55 1128.24,1266.59 1128.27,1266.62 1128.29,1266.65 1128.32,1266.69 1128.34,1266.72 1128.37,1266.76 1128.4,1266.79 1128.42,1266.82 1128.45,1266.86 \n",
+ " 1128.47,1266.89 1128.5,1266.93 1128.52,1266.96 1128.55,1266.99 1128.57,1267.03 1128.6,1267.06 1128.63,1267.1 1128.65,1267.13 1128.68,1267.16 1128.7,1267.2 \n",
+ " 1128.73,1267.23 1128.75,1267.27 1128.78,1267.3 1128.81,1267.33 1128.83,1267.37 1128.86,1267.4 1128.88,1267.44 1128.91,1267.47 1128.93,1267.5 1128.96,1267.54 \n",
+ " 1128.99,1267.57 1129.01,1267.61 1129.04,1267.64 1129.06,1267.67 1129.09,1267.71 1129.11,1267.74 1129.14,1267.78 1129.17,1267.81 1129.19,1267.84 1129.22,1267.88 \n",
+ " 1129.24,1267.91 1129.27,1267.94 1129.29,1267.98 1129.32,1268.01 1129.35,1268.05 1129.37,1268.08 1129.4,1268.11 1129.42,1268.15 1129.45,1268.18 1129.47,1268.22 \n",
+ " 1129.5,1268.25 1129.53,1268.28 1129.55,1268.32 1129.58,1268.35 1129.6,1268.39 1129.63,1268.42 1129.65,1268.45 1129.68,1268.49 1129.71,1268.52 1129.73,1268.56 \n",
+ " 1129.76,1268.59 1129.78,1268.62 1129.81,1268.66 1129.83,1268.69 1129.86,1268.73 1129.88,1268.76 1129.91,1268.79 1129.94,1268.83 1129.96,1268.86 1129.99,1268.9 \n",
+ " 1130.01,1268.93 1130.04,1268.96 1130.06,1269 1130.09,1269.03 1130.12,1269.06 1130.14,1269.1 1130.17,1269.13 1130.19,1269.17 1130.22,1269.2 1130.24,1269.23 \n",
+ " 1130.27,1269.27 1130.3,1269.3 1130.32,1269.34 1130.35,1269.37 1130.37,1269.4 1130.4,1269.44 1130.42,1269.47 1130.45,1269.51 1130.48,1269.54 1130.5,1269.57 \n",
+ " 1130.53,1269.61 1130.55,1269.64 1130.58,1269.68 1130.6,1269.71 1130.63,1269.74 1130.66,1269.78 1130.68,1269.81 1130.71,1269.85 1130.73,1269.88 1130.76,1269.91 \n",
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+ " 1131.04,1270.29 1131.07,1270.32 1131.09,1270.35 1131.12,1270.39 1131.14,1270.42 1131.17,1270.46 1131.19,1270.49 1131.22,1270.52 1131.25,1270.56 1131.27,1270.59 \n",
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+ " 1139,1280.81 1139.03,1280.84 1139.05,1280.88 1139.08,1280.91 1139.11,1280.95 1139.13,1280.98 1139.16,1281.01 1139.18,1281.05 1139.21,1281.08 1139.23,1281.12 \n",
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+ " 1139.77,1281.83 1139.8,1281.86 1139.82,1281.9 1139.85,1281.93 1139.88,1281.96 1139.9,1282 1139.93,1282.03 1139.95,1282.07 1139.98,1282.1 1140,1282.13 \n",
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+ " 1140.54,1282.85 1140.57,1282.88 1140.59,1282.91 1140.62,1282.95 1140.65,1282.98 1140.67,1283.02 1140.7,1283.05 1140.72,1283.08 1140.75,1283.12 1140.77,1283.15 \n",
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+ " 1141.06,1283.53 1141.08,1283.56 1141.11,1283.59 1141.13,1283.63 1141.16,1283.66 1141.19,1283.7 1141.21,1283.73 1141.24,1283.76 1141.26,1283.8 1141.29,1283.83 \n",
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+ " 1141.57,1284.2 1141.6,1284.24 1141.62,1284.27 1141.65,1284.31 1141.67,1284.34 1141.7,1284.37 1141.72,1284.41 1141.75,1284.44 1141.78,1284.48 1141.8,1284.51 \n",
+ " 1141.83,1284.54 1141.85,1284.58 1141.88,1284.61 1141.9,1284.65 1141.93,1284.68 1141.96,1284.71 1141.98,1284.75 1142.01,1284.78 1142.03,1284.82 1142.06,1284.85 \n",
+ " 1142.08,1284.88 1142.11,1284.92 1142.14,1284.95 1142.16,1284.99 1142.19,1285.02 1142.21,1285.05 1142.24,1285.09 1142.26,1285.12 1142.29,1285.15 1142.32,1285.19 \n",
+ " 1142.34,1285.22 1142.37,1285.26 1142.39,1285.29 1142.42,1285.32 1142.44,1285.36 1142.47,1285.39 1142.5,1285.43 1142.52,1285.46 1142.55,1285.49 1142.57,1285.53 \n",
+ " 1142.6,1285.56 1142.62,1285.6 1142.65,1285.63 1142.67,1285.66 1142.7,1285.7 1142.73,1285.73 1142.75,1285.77 1142.78,1285.8 1142.8,1285.83 1142.83,1285.87 \n",
+ " 1142.85,1285.9 1142.88,1285.94 1142.91,1285.97 1142.93,1286 1142.96,1286.04 1142.98,1286.07 1143.01,1286.11 1143.03,1286.14 1143.06,1286.17 1143.09,1286.21 \n",
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+ " 1143.63,1286.92 1143.65,1286.95 1143.68,1286.99 1143.7,1287.02 1143.73,1287.06 1143.75,1287.09 1143.78,1287.12 1143.8,1287.16 1143.83,1287.19 1143.86,1287.23 \n",
+ " 1143.88,1287.26 1143.91,1287.29 1143.93,1287.33 1143.96,1287.36 1143.98,1287.4 1144.01,1287.43 1144.04,1287.46 1144.06,1287.5 1144.09,1287.53 1144.11,1287.57 \n",
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+ " 1144.91,1288.62 1144.94,1288.65 1144.96,1288.69 1144.99,1288.72 1145.01,1288.75 1145.04,1288.79 1145.06,1288.82 1145.09,1288.86 1145.11,1288.89 1145.14,1288.92 \n",
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+ " 1150.05,1295.41 1150.07,1295.44 1150.1,1295.47 1150.12,1295.51 1150.15,1295.54 1150.17,1295.58 1150.2,1295.61 1150.23,1295.64 1150.25,1295.68 1150.28,1295.71 \n",
+ " 1150.3,1295.75 1150.33,1295.78 1150.35,1295.81 1150.38,1295.85 1150.41,1295.88 1150.43,1295.92 1150.46,1295.95 1150.48,1295.98 1150.51,1296.02 1150.53,1296.05 \n",
+ " 1150.56,1296.09 1150.59,1296.12 1150.61,1296.15 1150.64,1296.19 1150.66,1296.22 1150.69,1296.26 1150.71,1296.29 1150.74,1296.32 1150.77,1296.36 1150.79,1296.39 \n",
+ " 1150.82,1296.42 1150.84,1296.46 1150.87,1296.49 1150.89,1296.53 1150.92,1296.56 1150.94,1296.59 1150.97,1296.63 1151,1296.66 1151.02,1296.7 1151.05,1296.73 \n",
+ " 1151.07,1296.76 1151.1,1296.8 1151.12,1296.83 1151.15,1296.87 1151.18,1296.9 1151.2,1296.93 1151.23,1296.97 1151.25,1297 1151.28,1297.04 1151.3,1297.07 \n",
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+ " 1151.59,1297.44 1151.61,1297.48 1151.64,1297.51 1151.66,1297.54 1151.69,1297.58 1151.72,1297.61 1151.74,1297.65 1151.77,1297.68 1151.79,1297.71 1151.82,1297.75 \n",
+ " 1151.84,1297.78 1151.87,1297.82 1151.9,1297.85 1151.92,1297.88 1151.95,1297.92 1151.97,1297.95 1152,1297.99 1152.02,1298.02 1152.05,1298.05 1152.07,1298.09 \n",
+ " 1152.1,1298.12 1152.13,1298.16 1152.15,1298.19 1152.18,1298.22 1152.2,1298.26 1152.23,1298.29 1152.25,1298.33 1152.28,1298.36 1152.31,1298.39 1152.33,1298.43 \n",
+ " 1152.36,1298.46 1152.38,1298.5 1152.41,1298.53 1152.43,1298.56 1152.46,1298.6 1152.49,1298.63 1152.51,1298.67 1152.54,1298.7 1152.56,1298.73 1152.59,1298.77 \n",
+ " 1152.61,1298.8 1152.64,1298.83 1152.67,1298.87 1152.69,1298.9 1152.72,1298.94 1152.74,1298.97 1152.77,1299 1152.79,1299.04 1152.82,1299.07 1152.85,1299.11 \n",
+ " 1152.87,1299.14 1152.9,1299.17 1152.92,1299.21 1152.95,1299.24 1152.97,1299.28 1153,1299.31 1153.03,1299.34 1153.05,1299.38 1153.08,1299.41 1153.1,1299.45 \n",
+ " 1153.13,1299.48 1153.15,1299.51 1153.18,1299.55 1153.2,1299.58 1153.23,1299.62 1153.26,1299.65 1153.28,1299.68 1153.31,1299.72 1153.33,1299.75 1153.36,1299.79 \n",
+ " 1153.38,1299.82 1153.41,1299.85 1153.44,1299.89 1153.46,1299.92 1153.49,1299.96 1153.51,1299.99 1153.54,1300.02 1153.56,1300.06 1153.59,1300.09 1153.62,1300.12 \n",
+ " 1153.64,1300.16 1153.67,1300.19 1153.69,1300.23 1153.72,1300.26 1153.74,1300.29 1153.77,1300.33 1153.8,1300.36 1153.82,1300.4 1153.85,1300.43 1153.87,1300.46 \n",
+ " 1153.9,1300.5 1153.92,1300.53 1153.95,1300.57 1153.98,1300.6 1154,1300.63 1154.03,1300.67 1154.05,1300.7 1154.08,1300.74 1154.1,1300.77 1154.13,1300.8 \n",
+ " 1154.16,1300.84 1154.18,1300.87 1154.21,1300.91 1154.23,1300.94 1154.26,1300.97 1154.28,1301.01 1154.31,1301.04 1154.34,1301.08 1154.36,1301.11 1154.39,1301.14 \n",
+ " 1154.41,1301.18 1154.44,1301.21 1154.46,1301.24 1154.49,1301.28 1154.51,1301.31 1154.54,1301.35 1154.57,1301.38 1154.59,1301.41 1154.62,1301.45 1154.64,1301.48 \n",
+ " 1154.67,1301.52 1154.69,1301.55 1154.72,1301.58 1154.75,1301.62 1154.77,1301.65 1154.8,1301.69 1154.82,1301.72 1154.85,1301.75 1154.87,1301.79 1154.9,1301.82 \n",
+ " 1154.93,1301.86 1154.95,1301.89 1154.98,1301.92 1155,1301.96 1155.03,1301.99 1155.05,1302.03 1155.08,1302.06 1155.11,1302.09 1155.13,1302.13 1155.16,1302.16 \n",
+ " 1155.18,1302.2 1155.21,1302.23 1155.23,1302.26 1155.26,1302.3 1155.29,1302.33 1155.31,1302.37 1155.34,1302.4 1155.36,1302.43 1155.39,1302.47 1155.41,1302.5 \n",
+ " 1155.44,1302.53 1155.47,1302.57 1155.49,1302.6 1155.52,1302.64 1155.54,1302.67 1155.57,1302.7 1155.59,1302.74 1155.62,1302.77 1155.64,1302.81 1155.67,1302.84 \n",
+ " 1155.7,1302.87 1155.72,1302.91 1155.75,1302.94 1155.77,1302.98 1155.8,1303.01 1155.82,1303.04 1155.85,1303.08 1155.88,1303.11 1155.9,1303.15 1155.93,1303.18 \n",
+ " 1155.95,1303.21 1155.98,1303.25 1156,1303.28 1156.03,1303.32 1156.06,1303.35 1156.08,1303.38 1156.11,1303.42 1156.13,1303.45 1156.16,1303.49 1156.18,1303.52 \n",
+ " 1156.21,1303.55 1156.24,1303.59 1156.26,1303.62 1156.29,1303.66 1156.31,1303.69 1156.34,1303.72 1156.36,1303.76 1156.39,1303.79 1156.42,1303.82 1156.44,1303.86 \n",
+ " 1156.47,1303.89 1156.49,1303.93 1156.52,1303.96 1156.54,1303.99 1156.57,1304.03 1156.6,1304.06 1156.62,1304.1 1156.65,1304.13 1156.67,1304.16 1156.7,1304.2 \n",
+ " 1156.72,1304.23 1156.75,1304.27 1156.77,1304.3 1156.8,1304.33 1156.83,1304.37 1156.85,1304.4 1156.88,1304.44 1156.9,1304.47 1156.93,1304.5 1156.95,1304.54 \n",
+ " 1156.98,1304.57 1157.01,1304.61 1157.03,1304.64 1157.06,1304.67 1157.08,1304.71 1157.11,1304.74 1157.13,1304.78 1157.16,1304.81 1157.19,1304.84 1157.21,1304.88 \n",
+ " 1157.24,1304.91 1157.26,1304.95 1157.29,1304.98 1157.31,1305.01 1157.34,1305.05 1157.37,1305.08 1157.39,1305.11 1157.42,1305.15 1157.44,1305.18 1157.47,1305.22 \n",
+ " 1157.49,1305.25 1157.52,1305.28 1157.55,1305.32 1157.57,1305.35 1157.6,1305.39 1157.62,1305.42 1157.65,1305.45 1157.67,1305.49 1157.7,1305.52 1157.73,1305.56 \n",
+ " 1157.75,1305.59 1157.78,1305.62 1157.8,1305.66 1157.83,1305.69 1157.85,1305.73 1157.88,1305.76 1157.9,1305.79 1157.93,1305.83 1157.96,1305.86 1157.98,1305.9 \n",
+ " 1158.01,1305.93 1158.03,1305.96 1158.06,1306 1158.08,1306.03 1158.11,1306.07 1158.14,1306.1 1158.16,1306.13 1158.19,1306.17 1158.21,1306.2 1158.24,1306.23 \n",
+ " 1158.26,1306.27 1158.29,1306.3 1158.32,1306.34 1158.34,1306.37 1158.37,1306.4 1158.39,1306.44 1158.42,1306.47 1158.44,1306.51 1158.47,1306.54 1158.5,1306.57 \n",
+ " 1158.52,1306.61 1158.55,1306.64 1158.57,1306.68 1158.6,1306.71 1158.62,1306.74 1158.65,1306.78 1158.68,1306.81 1158.7,1306.85 1158.73,1306.88 1158.75,1306.91 \n",
+ " 1158.78,1306.95 1158.8,1306.98 1158.83,1307.02 1158.86,1307.05 1158.88,1307.08 1158.91,1307.12 1158.93,1307.15 1158.96,1307.19 1158.98,1307.22 1159.01,1307.25 \n",
+ " 1159.04,1307.29 1159.06,1307.32 1159.09,1307.36 1159.11,1307.39 1159.14,1307.42 1159.16,1307.46 1159.19,1307.49 1159.21,1307.52 1159.24,1307.56 1159.27,1307.59 \n",
+ " 1159.29,1307.63 1159.32,1307.66 1159.34,1307.69 1159.37,1307.73 1159.39,1307.76 1159.42,1307.8 1159.45,1307.83 1159.47,1307.86 1159.5,1307.9 1159.52,1307.93 \n",
+ " 1159.55,1307.97 1159.57,1308 1159.6,1308.03 1159.63,1308.07 1159.65,1308.1 1159.68,1308.14 1159.7,1308.17 1159.73,1308.2 1159.75,1308.24 1159.78,1308.27 \n",
+ " 1159.81,1308.31 1159.83,1308.34 1159.86,1308.37 1159.88,1308.41 1159.91,1308.44 1159.93,1308.48 1159.96,1308.51 1159.99,1308.54 1160.01,1308.58 1160.04,1308.61 \n",
+ " 1160.06,1308.65 1160.09,1308.68 1160.11,1308.71 1160.14,1308.75 1160.17,1308.78 1160.19,1308.81 1160.22,1308.85 1160.24,1308.88 1160.27,1308.92 1160.29,1308.95 \n",
+ " 1160.32,1308.98 1160.34,1309.02 1160.37,1309.05 1160.4,1309.09 1160.42,1309.12 1160.45,1309.15 1160.47,1309.19 1160.5,1309.22 1160.52,1309.26 1160.55,1309.29 \n",
+ " 1160.58,1309.32 1160.6,1309.36 1160.63,1309.39 1160.65,1309.43 1160.68,1309.46 1160.7,1309.49 1160.73,1309.53 1160.76,1309.56 1160.78,1309.6 1160.81,1309.63 \n",
+ " 1160.83,1309.66 1160.86,1309.7 1160.88,1309.73 1160.91,1309.77 1160.94,1309.8 1160.96,1309.83 1160.99,1309.87 1161.01,1309.9 1161.04,1309.93 1161.06,1309.97 \n",
+ " 1161.09,1310 1161.12,1310.04 1161.14,1310.07 1161.17,1310.1 1161.19,1310.14 1161.22,1310.17 1161.24,1310.21 1161.27,1310.24 1161.3,1310.27 1161.32,1310.31 \n",
+ " 1161.35,1310.34 1161.37,1310.38 1161.4,1310.41 1161.42,1310.44 1161.45,1310.48 1161.47,1310.51 1161.5,1310.55 1161.53,1310.58 1161.55,1310.61 1161.58,1310.65 \n",
+ " 1161.6,1310.68 1161.63,1310.72 1161.65,1310.75 1161.68,1310.78 1161.71,1310.82 1161.73,1310.85 1161.76,1310.89 1161.78,1310.92 1161.81,1310.95 1161.83,1310.99 \n",
+ " 1161.86,1311.02 1161.89,1311.06 1161.91,1311.09 1161.94,1311.12 1161.96,1311.16 1161.99,1311.19 1162.01,1311.22 1162.04,1311.26 1162.07,1311.29 1162.09,1311.33 \n",
+ " 1162.12,1311.36 1162.14,1311.39 1162.17,1311.43 1162.19,1311.46 1162.22,1311.5 1162.25,1311.53 1162.27,1311.56 1162.3,1311.6 1162.32,1311.63 1162.35,1311.67 \n",
+ " 1162.37,1311.7 1162.4,1311.73 1162.43,1311.77 1162.45,1311.8 1162.48,1311.84 1162.5,1311.87 1162.53,1311.9 1162.55,1311.94 1162.58,1311.97 1162.6,1312.01 \n",
+ " 1162.63,1312.04 1162.66,1312.07 1162.68,1312.11 1162.71,1312.14 1162.73,1312.18 1162.76,1312.21 1162.78,1312.24 1162.81,1312.28 1162.84,1312.31 1162.86,1312.35 \n",
+ " 1162.89,1312.38 1162.91,1312.41 1162.94,1312.45 1162.96,1312.48 1162.99,1312.51 1163.02,1312.55 1163.04,1312.58 1163.07,1312.62 1163.09,1312.65 1163.12,1312.68 \n",
+ " 1163.14,1312.72 1163.17,1312.75 1163.2,1312.79 1163.22,1312.82 1163.25,1312.85 1163.27,1312.89 1163.3,1312.92 1163.32,1312.96 1163.35,1312.99 1163.38,1313.02 \n",
+ " 1163.4,1313.06 1163.43,1313.09 1163.45,1313.13 1163.48,1313.16 1163.5,1313.19 1163.53,1313.23 1163.56,1313.26 1163.58,1313.3 1163.61,1313.33 1163.63,1313.36 \n",
+ " 1163.66,1313.4 1163.68,1313.43 1163.71,1313.47 1163.74,1313.5 1163.76,1313.53 1163.79,1313.57 1163.81,1313.6 1163.84,1313.63 1163.86,1313.67 1163.89,1313.7 \n",
+ " 1163.91,1313.74 1163.94,1313.77 1163.97,1313.8 1163.99,1313.84 1164.02,1313.87 1164.04,1313.91 1164.07,1313.94 1164.09,1313.97 1164.12,1314.01 1164.15,1314.04 \n",
+ " 1164.17,1314.08 1164.2,1314.11 1164.22,1314.14 1164.25,1314.18 1164.27,1314.21 1164.3,1314.25 1164.33,1314.28 1164.35,1314.31 1164.38,1314.35 1164.4,1314.38 \n",
+ " 1164.43,1314.42 1164.45,1314.45 1164.48,1314.48 1164.51,1314.52 1164.53,1314.55 1164.56,1314.59 1164.58,1314.62 1164.61,1314.65 1164.63,1314.69 1164.66,1314.72 \n",
+ " 1164.69,1314.76 1164.71,1314.79 1164.74,1314.82 1164.76,1314.86 1164.79,1314.89 1164.81,1314.92 1164.84,1314.96 1164.87,1314.99 1164.89,1315.03 1164.92,1315.06 \n",
+ " 1164.94,1315.09 1164.97,1315.13 1164.99,1315.16 1165.02,1315.2 1165.04,1315.23 1165.07,1315.26 1165.1,1315.3 1165.12,1315.33 1165.15,1315.37 1165.17,1315.4 \n",
+ " 1165.2,1315.43 1165.22,1315.47 1165.25,1315.5 1165.28,1315.54 1165.3,1315.57 1165.33,1315.6 1165.35,1315.64 1165.38,1315.67 1165.4,1315.71 1165.43,1315.74 \n",
+ " 1165.46,1315.77 1165.48,1315.81 1165.51,1315.84 1165.53,1315.88 1165.56,1315.91 1165.58,1315.94 1165.61,1315.98 1165.64,1316.01 1165.66,1316.05 1165.69,1316.08 \n",
+ " 1165.71,1316.11 1165.74,1316.15 1165.76,1316.18 1165.79,1316.21 1165.82,1316.25 1165.84,1316.28 1165.87,1316.32 1165.89,1316.35 1165.92,1316.38 1165.94,1316.42 \n",
+ " 1165.97,1316.45 1166,1316.49 1166.02,1316.52 1166.05,1316.55 1166.07,1316.59 1166.1,1316.62 1166.12,1316.66 1166.15,1316.69 1166.17,1316.72 1166.2,1316.76 \n",
+ " 1166.23,1316.79 1166.25,1316.83 1166.28,1316.86 1166.3,1316.89 1166.33,1316.93 1166.35,1316.96 1166.38,1317 1166.41,1317.03 1166.43,1317.06 1166.46,1317.1 \n",
+ " 1166.48,1317.13 1166.51,1317.17 1166.53,1317.2 1166.56,1317.23 1166.59,1317.27 1166.61,1317.3 1166.64,1317.34 1166.66,1317.37 1166.69,1317.4 1166.71,1317.44 \n",
+ " 1166.74,1317.47 1166.77,1317.5 1166.79,1317.54 1166.82,1317.57 1166.84,1317.61 1166.87,1317.64 1166.89,1317.67 1166.92,1317.71 1166.95,1317.74 1166.97,1317.78 \n",
+ " 1167,1317.81 1167.02,1317.84 1167.05,1317.88 1167.07,1317.91 1167.1,1317.95 1167.13,1317.98 1167.15,1318.01 1167.18,1318.05 1167.2,1318.08 1167.23,1318.12 \n",
+ " 1167.25,1318.15 1167.28,1318.18 1167.3,1318.22 1167.33,1318.25 1167.36,1318.29 1167.38,1318.32 1167.41,1318.35 1167.43,1318.39 1167.46,1318.42 1167.48,1318.46 \n",
+ " 1167.51,1318.49 1167.54,1318.52 1167.56,1318.56 1167.59,1318.59 1167.61,1318.62 1167.64,1318.66 1167.66,1318.69 1167.69,1318.73 1167.72,1318.76 1167.74,1318.79 \n",
+ " 1167.77,1318.83 1167.79,1318.86 1167.82,1318.9 1167.84,1318.93 1167.87,1318.96 1167.9,1319 1167.92,1319.03 1167.95,1319.07 1167.97,1319.1 1168,1319.13 \n",
+ " 1168.02,1319.17 1168.05,1319.2 1168.08,1319.24 1168.1,1319.27 1168.13,1319.3 1168.15,1319.34 1168.18,1319.37 1168.2,1319.41 1168.23,1319.44 1168.26,1319.47 \n",
+ " 1168.28,1319.51 1168.31,1319.54 1168.33,1319.58 1168.36,1319.61 1168.38,1319.64 1168.41,1319.68 1168.44,1319.71 1168.46,1319.75 1168.49,1319.78 1168.51,1319.81 \n",
+ " 1168.54,1319.85 1168.56,1319.88 1168.59,1319.91 1168.61,1319.95 1168.64,1319.98 1168.67,1320.02 1168.69,1320.05 1168.72,1320.08 1168.74,1320.12 1168.77,1320.15 \n",
+ " 1168.79,1320.19 1168.82,1320.22 1168.85,1320.25 1168.87,1320.29 1168.9,1320.32 1168.92,1320.36 1168.95,1320.39 1168.97,1320.42 1169,1320.46 1169.03,1320.49 \n",
+ " 1169.05,1320.53 1169.08,1320.56 1169.1,1320.59 1169.13,1320.63 1169.15,1320.66 1169.18,1320.7 1169.21,1320.73 1169.23,1320.76 1169.26,1320.8 1169.28,1320.83 \n",
+ " 1169.31,1320.87 1169.33,1320.9 1169.36,1320.93 1169.39,1320.97 1169.41,1321 1169.44,1321.04 1169.46,1321.07 1169.49,1321.1 1169.51,1321.14 1169.54,1321.17 \n",
+ " 1169.57,1321.2 1169.59,1321.24 1169.62,1321.27 1169.64,1321.31 1169.67,1321.34 1169.69,1321.37 1169.72,1321.41 1169.74,1321.44 1169.77,1321.48 1169.8,1321.51 \n",
+ " 1169.82,1321.54 1169.85,1321.58 1169.87,1321.61 1169.9,1321.65 1169.92,1321.68 1169.95,1321.71 1169.98,1321.75 1170,1321.78 1170.03,1321.82 1170.05,1321.85 \n",
+ " 1170.08,1321.88 1170.1,1321.92 1170.13,1321.95 1170.16,1321.99 1170.18,1322.02 1170.21,1322.05 1170.23,1322.09 1170.26,1322.12 1170.28,1322.16 1170.31,1322.19 \n",
+ " 1170.34,1322.22 1170.36,1322.26 1170.39,1322.29 1170.41,1322.32 1170.44,1322.36 1170.46,1322.39 1170.49,1322.43 1170.52,1322.46 1170.54,1322.49 1170.57,1322.53 \n",
+ " 1170.59,1322.56 1170.62,1322.6 1170.64,1322.63 1170.67,1322.66 1170.7,1322.7 1170.72,1322.73 1170.75,1322.77 1170.77,1322.8 1170.8,1322.83 1170.82,1322.87 \n",
+ " 1170.85,1322.9 1170.87,1322.94 1170.9,1322.97 1170.93,1323 1170.95,1323.04 1170.98,1323.07 1171,1323.11 1171.03,1323.14 1171.05,1323.17 1171.08,1323.21 \n",
+ " 1171.11,1323.24 1171.13,1323.28 1171.16,1323.31 1171.18,1323.34 1171.21,1323.38 1171.23,1323.41 1171.26,1323.45 1171.29,1323.48 1171.31,1323.51 1171.34,1323.55 \n",
+ " 1171.36,1323.58 1171.39,1323.61 1171.41,1323.65 1171.44,1323.68 1171.47,1323.72 1171.49,1323.75 1171.52,1323.78 1171.54,1323.82 1171.57,1323.85 1171.59,1323.89 \n",
+ " 1171.62,1323.92 1171.65,1323.95 1171.67,1323.99 1171.7,1324.02 1171.72,1324.06 1171.75,1324.09 1171.77,1324.12 1171.8,1324.16 1171.83,1324.19 1171.85,1324.23 \n",
+ " 1171.88,1324.26 1171.9,1324.29 1171.93,1324.33 1171.95,1324.36 1171.98,1324.4 1172,1324.43 1172.03,1324.46 1172.06,1324.5 1172.08,1324.53 1172.11,1324.57 \n",
+ " 1172.13,1324.6 1172.16,1324.63 1172.18,1324.67 1172.21,1324.7 1172.24,1324.74 1172.26,1324.77 1172.29,1324.8 1172.31,1324.84 1172.34,1324.87 1172.36,1324.9 \n",
+ " 1172.39,1324.94 1172.42,1324.97 1172.44,1325.01 1172.47,1325.04 1172.49,1325.07 1172.52,1325.11 1172.54,1325.14 1172.57,1325.18 1172.6,1325.21 1172.62,1325.24 \n",
+ " 1172.65,1325.28 1172.67,1325.31 1172.7,1325.35 1172.72,1325.38 1172.75,1325.41 1172.78,1325.45 1172.8,1325.48 1172.83,1325.52 1172.85,1325.55 1172.88,1325.58 \n",
+ " 1172.9,1325.62 1172.93,1325.65 1172.96,1325.69 1172.98,1325.72 1173.01,1325.75 1173.03,1325.79 1173.06,1325.82 1173.08,1325.86 1173.11,1325.89 1173.14,1325.92 \n",
+ " 1173.16,1325.96 1173.19,1325.99 1173.21,1326.02 1173.24,1326.06 1173.26,1326.09 1173.29,1326.13 1173.31,1326.16 1173.34,1326.19 1173.37,1326.23 1173.39,1326.26 \n",
+ " 1173.42,1326.3 1173.44,1326.33 1173.47,1326.36 1173.49,1326.4 1173.52,1326.43 1173.55,1326.47 1173.57,1326.5 1173.6,1326.53 1173.62,1326.57 1173.65,1326.6 \n",
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+ " 1180.1,1335.12 1180.12,1335.16 1180.15,1335.19 1180.17,1335.22 1180.2,1335.26 1180.22,1335.29 1180.25,1335.33 1180.27,1335.36 1180.3,1335.39 1180.33,1335.43 \n",
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+ " 1181.12,1336.48 1181.15,1336.51 1181.17,1336.55 1181.2,1336.58 1181.23,1336.62 1181.25,1336.65 1181.28,1336.68 1181.3,1336.72 1181.33,1336.75 1181.35,1336.79 \n",
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+ " 1181.64,1337.16 1181.66,1337.19 1181.69,1337.23 1181.71,1337.26 1181.74,1337.29 1181.76,1337.33 1181.79,1337.36 1181.82,1337.4 1181.84,1337.43 1181.87,1337.46 \n",
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+ " 1182.15,1337.84 1182.18,1337.87 1182.2,1337.91 1182.23,1337.94 1182.25,1337.97 1182.28,1338.01 1182.3,1338.04 1182.33,1338.08 1182.36,1338.11 1182.38,1338.14 \n",
+ " 1182.41,1338.18 1182.43,1338.21 1182.46,1338.25 1182.48,1338.28 1182.51,1338.31 1182.54,1338.35 1182.56,1338.38 1182.59,1338.41 1182.61,1338.45 1182.64,1338.48 \n",
+ " 1182.66,1338.52 1182.69,1338.55 1182.71,1338.58 1182.74,1338.62 1182.77,1338.65 1182.79,1338.69 1182.82,1338.72 1182.84,1338.75 1182.87,1338.79 1182.89,1338.82 \n",
+ " 1182.92,1338.86 1182.95,1338.89 1182.97,1338.92 1183,1338.96 1183.02,1338.99 1183.05,1339.03 1183.07,1339.06 1183.1,1339.09 1183.13,1339.13 1183.15,1339.16 \n",
+ " 1183.18,1339.2 1183.2,1339.23 1183.23,1339.26 1183.25,1339.3 1183.28,1339.33 1183.31,1339.37 1183.33,1339.4 1183.36,1339.43 1183.38,1339.47 1183.41,1339.5 \n",
+ " 1183.43,1339.54 1183.46,1339.57 1183.49,1339.6 1183.51,1339.64 1183.54,1339.67 1183.56,1339.7 1183.59,1339.74 1183.61,1339.77 1183.64,1339.81 1183.67,1339.84 \n",
+ " 1183.69,1339.87 1183.72,1339.91 1183.74,1339.94 1183.77,1339.98 1183.79,1340.01 1183.82,1340.04 1183.84,1340.08 1183.87,1340.11 1183.9,1340.15 1183.92,1340.18 \n",
+ " 1183.95,1340.21 1183.97,1340.25 1184,1340.28 1184.02,1340.32 1184.05,1340.35 1184.08,1340.38 1184.1,1340.42 1184.13,1340.45 1184.15,1340.49 1184.18,1340.52 \n",
+ " 1184.2,1340.55 1184.23,1340.59 1184.26,1340.62 1184.28,1340.66 1184.31,1340.69 1184.33,1340.72 1184.36,1340.76 1184.38,1340.79 1184.41,1340.83 1184.44,1340.86 \n",
+ " 1184.46,1340.89 1184.49,1340.93 1184.51,1340.96 1184.54,1340.99 1184.56,1341.03 1184.59,1341.06 1184.62,1341.1 1184.64,1341.13 1184.67,1341.16 1184.69,1341.2 \n",
+ " 1184.72,1341.23 1184.74,1341.27 1184.77,1341.3 1184.8,1341.33 1184.82,1341.37 1184.85,1341.4 1184.87,1341.44 1184.9,1341.47 1184.92,1341.5 1184.95,1341.54 \n",
+ " 1184.97,1341.57 1185,1341.61 1185.03,1341.64 1185.05,1341.67 1185.08,1341.71 1185.1,1341.74 1185.13,1341.78 1185.15,1341.81 1185.18,1341.84 1185.21,1341.88 \n",
+ " 1185.23,1341.91 1185.26,1341.95 1185.28,1341.98 1185.31,1342.01 1185.33,1342.05 1185.36,1342.08 1185.39,1342.11 1185.41,1342.15 1185.44,1342.18 1185.46,1342.22 \n",
+ " 1185.49,1342.25 1185.51,1342.28 1185.54,1342.32 1185.57,1342.35 1185.59,1342.39 1185.62,1342.42 1185.64,1342.45 1185.67,1342.49 1185.69,1342.52 1185.72,1342.56 \n",
+ " 1185.75,1342.59 1185.77,1342.62 1185.8,1342.66 1185.82,1342.69 1185.85,1342.73 1185.87,1342.76 1185.9,1342.79 1185.93,1342.83 1185.95,1342.86 1185.98,1342.9 \n",
+ " 1186,1342.93 1186.03,1342.96 1186.05,1343 1186.08,1343.03 1186.1,1343.07 1186.13,1343.1 1186.16,1343.13 1186.18,1343.17 1186.21,1343.2 1186.23,1343.24 \n",
+ " 1186.26,1343.27 1186.28,1343.3 1186.31,1343.34 1186.34,1343.37 1186.36,1343.4 1186.39,1343.44 1186.41,1343.47 1186.44,1343.51 1186.46,1343.54 1186.49,1343.57 \n",
+ " 1186.52,1343.61 1186.54,1343.64 1186.57,1343.68 1186.59,1343.71 1186.62,1343.74 1186.64,1343.78 1186.67,1343.81 1186.7,1343.85 1186.72,1343.88 1186.75,1343.91 \n",
+ " 1186.77,1343.95 1186.8,1343.98 1186.82,1344.02 1186.85,1344.05 1186.88,1344.08 1186.9,1344.12 1186.93,1344.15 1186.95,1344.19 1186.98,1344.22 1187,1344.25 \n",
+ " 1187.03,1344.29 1187.06,1344.32 1187.08,1344.36 1187.11,1344.39 1187.13,1344.42 1187.16,1344.46 1187.18,1344.49 1187.21,1344.53 1187.24,1344.56 1187.26,1344.59 \n",
+ " 1187.29,1344.63 1187.31,1344.66 1187.34,1344.69 1187.36,1344.73 1187.39,1344.76 1187.41,1344.8 1187.44,1344.83 1187.47,1344.86 1187.49,1344.9 1187.52,1344.93 \n",
+ " 1187.54,1344.97 1187.57,1345 1187.59,1345.03 1187.62,1345.07 1187.65,1345.1 1187.67,1345.14 1187.7,1345.17 1187.72,1345.2 1187.75,1345.24 1187.77,1345.27 \n",
+ " 1187.8,1345.31 1187.83,1345.34 1187.85,1345.37 1187.88,1345.41 1187.9,1345.44 1187.93,1345.48 1187.95,1345.51 1187.98,1345.54 1188.01,1345.58 1188.03,1345.61 \n",
+ " 1188.06,1345.65 1188.08,1345.68 1188.11,1345.71 1188.13,1345.75 1188.16,1345.78 1188.19,1345.82 1188.21,1345.85 1188.24,1345.88 1188.26,1345.92 1188.29,1345.95 \n",
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+ " 1188.57,1346.32 1188.6,1346.36 1188.62,1346.39 1188.65,1346.43 1188.67,1346.46 1188.7,1346.49 1188.72,1346.53 1188.75,1346.56 1188.78,1346.6 1188.8,1346.63 \n",
+ " 1188.83,1346.66 1188.85,1346.7 1188.88,1346.73 1188.9,1346.77 1188.93,1346.8 1188.96,1346.83 1188.98,1346.87 1189.01,1346.9 1189.03,1346.94 1189.06,1346.97 \n",
+ " 1189.08,1347 1189.11,1347.04 1189.14,1347.07 1189.16,1347.1 1189.19,1347.14 1189.21,1347.17 1189.24,1347.21 1189.26,1347.24 1189.29,1347.27 1189.32,1347.31 \n",
+ " 1189.34,1347.34 1189.37,1347.38 1189.39,1347.41 1189.42,1347.44 1189.44,1347.48 1189.47,1347.51 1189.5,1347.55 1189.52,1347.58 1189.55,1347.61 1189.57,1347.65 \n",
+ " 1189.6,1347.68 1189.62,1347.72 1189.65,1347.75 1189.67,1347.78 1189.7,1347.82 1189.73,1347.85 1189.75,1347.89 1189.78,1347.92 1189.8,1347.95 1189.83,1347.99 \n",
+ " 1189.85,1348.02 1189.88,1348.06 1189.91,1348.09 1189.93,1348.12 1189.96,1348.16 1189.98,1348.19 1190.01,1348.23 1190.03,1348.26 1190.06,1348.29 1190.09,1348.33 \n",
+ " 1190.11,1348.36 1190.14,1348.39 1190.16,1348.43 1190.19,1348.46 1190.21,1348.5 1190.24,1348.53 1190.27,1348.56 1190.29,1348.6 1190.32,1348.63 1190.34,1348.67 \n",
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+ " 1190.63,1349.04 1190.65,1349.07 1190.68,1349.11 1190.7,1349.14 1190.73,1349.18 1190.75,1349.21 1190.78,1349.24 1190.8,1349.28 1190.83,1349.31 1190.86,1349.35 \n",
+ " 1190.88,1349.38 1190.91,1349.41 1190.93,1349.45 1190.96,1349.48 1190.98,1349.52 1191.01,1349.55 1191.04,1349.58 1191.06,1349.62 1191.09,1349.65 1191.11,1349.68 \n",
+ " 1191.14,1349.72 1191.16,1349.75 1191.19,1349.79 1191.22,1349.82 1191.24,1349.85 1191.27,1349.89 1191.29,1349.92 1191.32,1349.96 1191.34,1349.99 1191.37,1350.02 \n",
+ " 1191.4,1350.06 1191.42,1350.09 1191.45,1350.13 1191.47,1350.16 1191.5,1350.19 1191.52,1350.23 1191.55,1350.26 1191.58,1350.3 1191.6,1350.33 1191.63,1350.36 \n",
+ " 1191.65,1350.4 1191.68,1350.43 1191.7,1350.47 1191.73,1350.5 1191.76,1350.53 1191.78,1350.57 1191.81,1350.6 1191.83,1350.64 1191.86,1350.67 1191.88,1350.7 \n",
+ " 1191.91,1350.74 1191.94,1350.77 1191.96,1350.8 1191.99,1350.84 1192.01,1350.87 1192.04,1350.91 1192.06,1350.94 1192.09,1350.97 1192.11,1351.01 1192.14,1351.04 \n",
+ " 1192.17,1351.08 1192.19,1351.11 1192.22,1351.14 1192.24,1351.18 1192.27,1351.21 1192.29,1351.25 1192.32,1351.28 1192.35,1351.31 1192.37,1351.35 1192.4,1351.38 \n",
+ " 1192.42,1351.42 1192.45,1351.45 1192.47,1351.48 1192.5,1351.52 1192.53,1351.55 1192.55,1351.59 1192.58,1351.62 1192.6,1351.65 1192.63,1351.69 1192.65,1351.72 \n",
+ " 1192.68,1351.76 1192.71,1351.79 1192.73,1351.82 1192.76,1351.86 1192.78,1351.89 1192.81,1351.93 1192.83,1351.96 1192.86,1351.99 1192.89,1352.03 1192.91,1352.06 \n",
+ " 1192.94,1352.09 1192.96,1352.13 1192.99,1352.16 1193.01,1352.2 1193.04,1352.23 1193.07,1352.26 1193.09,1352.3 1193.12,1352.33 1193.14,1352.37 1193.17,1352.4 \n",
+ " 1193.19,1352.43 1193.22,1352.47 1193.24,1352.5 1193.27,1352.54 1193.3,1352.57 1193.32,1352.6 1193.35,1352.64 1193.37,1352.67 1193.4,1352.71 1193.42,1352.74 \n",
+ " 1193.45,1352.77 1193.48,1352.81 1193.5,1352.84 1193.53,1352.88 1193.55,1352.91 1193.58,1352.94 1193.6,1352.98 1193.63,1353.01 1193.66,1353.05 1193.68,1353.08 \n",
+ " 1193.71,1353.11 1193.73,1353.15 1193.76,1353.18 1193.78,1353.22 1193.81,1353.25 1193.84,1353.28 1193.86,1353.32 1193.89,1353.35 1193.91,1353.38 1193.94,1353.42 \n",
+ " 1193.96,1353.45 1193.99,1353.49 1194.02,1353.52 1194.04,1353.55 1194.07,1353.59 1194.09,1353.62 1194.12,1353.66 1194.14,1353.69 1194.17,1353.72 1194.2,1353.76 \n",
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+ " 1247.64,1424.4 1247.67,1424.43 1247.69,1424.47 1247.72,1424.5 1247.74,1424.53 1247.77,1424.57 1247.8,1424.6 1247.82,1424.64 1247.85,1424.67 1247.87,1424.7 \n",
+ " 1247.9,1424.74 1247.92,1424.77 1247.95,1424.81 1247.98,1424.84 1248,1424.87 1248.03,1424.91 1248.05,1424.94 1248.08,1424.98 1248.1,1425.01 1248.13,1425.04 \n",
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+ " 1248.67,1425.76 1248.69,1425.79 1248.72,1425.82 1248.75,1425.86 1248.77,1425.89 1248.8,1425.93 1248.82,1425.96 1248.85,1425.99 1248.87,1426.03 1248.9,1426.06 \n",
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+ " 1249.44,1426.77 1249.46,1426.81 1249.49,1426.84 1249.52,1426.88 1249.54,1426.91 1249.57,1426.94 1249.59,1426.98 1249.62,1427.01 1249.64,1427.05 1249.67,1427.08 \n",
+ " 1249.7,1427.11 1249.72,1427.15 1249.75,1427.18 1249.77,1427.22 1249.8,1427.25 1249.82,1427.28 1249.85,1427.32 1249.88,1427.35 1249.9,1427.39 1249.93,1427.42 \n",
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+ " 1251.24,1429.15 1251.26,1429.18 1251.29,1429.22 1251.31,1429.25 1251.34,1429.29 1251.37,1429.32 1251.39,1429.35 1251.42,1429.39 1251.44,1429.42 1251.47,1429.46 \n",
+ " 1251.49,1429.49 1251.52,1429.52 1251.55,1429.56 1251.57,1429.59 1251.6,1429.63 1251.62,1429.66 1251.65,1429.69 1251.67,1429.73 1251.7,1429.76 1251.73,1429.8 \n",
+ " 1251.75,1429.83 1251.78,1429.86 1251.8,1429.9 1251.83,1429.93 1251.85,1429.97 1251.88,1430 1251.9,1430.03 1251.93,1430.07 1251.96,1430.1 1251.98,1430.13 \n",
+ " 1252.01,1430.17 1252.03,1430.2 1252.06,1430.24 1252.08,1430.27 1252.11,1430.3 1252.14,1430.34 1252.16,1430.37 1252.19,1430.41 1252.21,1430.44 1252.24,1430.47 \n",
+ " 1252.26,1430.51 1252.29,1430.54 1252.32,1430.58 1252.34,1430.61 1252.37,1430.64 1252.39,1430.68 1252.42,1430.71 1252.44,1430.75 1252.47,1430.78 1252.5,1430.81 \n",
+ " 1252.52,1430.85 1252.55,1430.88 1252.57,1430.92 1252.6,1430.95 1252.62,1430.98 1252.65,1431.02 1252.68,1431.05 1252.7,1431.09 1252.73,1431.12 1252.75,1431.15 \n",
+ " 1252.78,1431.19 1252.8,1431.22 1252.83,1431.26 1252.86,1431.29 1252.88,1431.32 1252.91,1431.36 1252.93,1431.39 1252.96,1431.42 1252.98,1431.46 1253.01,1431.49 \n",
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+ " 1253.29,1431.87 1253.32,1431.9 1253.34,1431.93 1253.37,1431.97 1253.39,1432 1253.42,1432.04 1253.45,1432.07 1253.47,1432.1 1253.5,1432.14 1253.52,1432.17 \n",
+ " 1253.55,1432.21 1253.57,1432.24 1253.6,1432.27 1253.63,1432.31 1253.65,1432.34 1253.68,1432.38 1253.7,1432.41 1253.73,1432.44 1253.75,1432.48 1253.78,1432.51 \n",
+ " 1253.81,1432.54 1253.83,1432.58 1253.86,1432.61 1253.88,1432.65 1253.91,1432.68 1253.93,1432.71 1253.96,1432.75 1253.99,1432.78 1254.01,1432.82 1254.04,1432.85 \n",
+ " 1254.06,1432.88 1254.09,1432.92 1254.11,1432.95 1254.14,1432.99 1254.16,1433.02 1254.19,1433.05 1254.22,1433.09 1254.24,1433.12 1254.27,1433.16 1254.29,1433.19 \n",
+ " 1254.32,1433.22 1254.34,1433.26 1254.37,1433.29 1254.4,1433.33 1254.42,1433.36 1254.45,1433.39 1254.47,1433.43 1254.5,1433.46 1254.52,1433.5 1254.55,1433.53 \n",
+ " 1254.58,1433.56 1254.6,1433.6 1254.63,1433.63 1254.65,1433.67 1254.68,1433.7 1254.7,1433.73 1254.73,1433.77 1254.76,1433.8 1254.78,1433.83 1254.81,1433.87 \n",
+ " 1254.83,1433.9 1254.86,1433.94 1254.88,1433.97 1254.91,1434 1254.94,1434.04 1254.96,1434.07 1254.99,1434.11 1255.01,1434.14 1255.04,1434.17 1255.06,1434.21 \n",
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+ " 1255.6,1434.92 1255.63,1434.96 1255.65,1434.99 1255.68,1435.02 1255.71,1435.06 1255.73,1435.09 1255.76,1435.12 1255.78,1435.16 1255.81,1435.19 1255.83,1435.23 \n",
+ " 1255.86,1435.26 1255.89,1435.29 1255.91,1435.33 1255.94,1435.36 1255.96,1435.4 1255.99,1435.43 1256.01,1435.46 1256.04,1435.5 1256.07,1435.53 1256.09,1435.57 \n",
+ " 1256.12,1435.6 1256.14,1435.63 1256.17,1435.67 1256.19,1435.7 1256.22,1435.74 1256.25,1435.77 1256.27,1435.8 1256.3,1435.84 1256.32,1435.87 1256.35,1435.91 \n",
+ " 1256.37,1435.94 1256.4,1435.97 1256.43,1436.01 1256.45,1436.04 1256.48,1436.08 1256.5,1436.11 1256.53,1436.14 1256.55,1436.18 1256.58,1436.21 1256.6,1436.24 \n",
+ " 1256.63,1436.28 1256.66,1436.31 1256.68,1436.35 1256.71,1436.38 1256.73,1436.41 1256.76,1436.45 1256.78,1436.48 1256.81,1436.52 1256.84,1436.55 1256.86,1436.58 \n",
+ " 1256.89,1436.62 1256.91,1436.65 1256.94,1436.69 1256.96,1436.72 1256.99,1436.75 1257.02,1436.79 1257.04,1436.82 1257.07,1436.86 1257.09,1436.89 1257.12,1436.92 \n",
+ " 1257.14,1436.96 1257.17,1436.99 1257.2,1437.03 1257.22,1437.06 1257.25,1437.09 1257.27,1437.13 1257.3,1437.16 1257.32,1437.2 1257.35,1437.23 1257.38,1437.26 \n",
+ " 1257.4,1437.3 1257.43,1437.33 1257.45,1437.37 1257.48,1437.4 1257.5,1437.43 1257.53,1437.47 1257.56,1437.5 1257.58,1437.53 1257.61,1437.57 1257.63,1437.6 \n",
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+ " 1915.66,1445.72 1915.68,1445.72 1915.71,1445.72 1915.73,1445.72 1915.76,1445.72 1915.79,1445.72 1915.81,1445.72 1915.84,1445.72 1915.86,1445.72 1915.89,1445.72 \n",
+ " 1915.91,1445.72 1915.94,1445.72 1915.97,1445.72 1915.99,1445.72 1916.02,1445.72 1916.04,1445.72 1916.07,1445.72 1916.09,1445.72 1916.12,1445.72 1916.15,1445.72 \n",
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+ " 1916.43,1445.72 1916.45,1445.72 1916.48,1445.72 1916.5,1445.72 1916.53,1445.72 1916.56,1445.72 1916.58,1445.72 1916.61,1445.72 1916.63,1445.72 1916.66,1445.72 \n",
+ " 1916.68,1445.72 1916.71,1445.72 1916.74,1445.72 1916.76,1445.72 1916.79,1445.72 1916.81,1445.72 1916.84,1445.72 1916.86,1445.72 1916.89,1445.72 1916.92,1445.72 \n",
+ " 1916.94,1445.72 1916.97,1445.72 1916.99,1445.72 1917.02,1445.72 1917.04,1445.72 1917.07,1445.72 1917.1,1445.72 1917.12,1445.72 1917.15,1445.72 1917.17,1445.72 \n",
+ " 1917.2,1445.72 1917.22,1445.72 1917.25,1445.72 1917.28,1445.72 1917.3,1445.72 1917.33,1445.72 1917.35,1445.72 1917.38,1445.72 1917.4,1445.72 1917.43,1445.72 \n",
+ " 1917.45,1445.72 1917.48,1445.72 1917.51,1445.72 1917.53,1445.72 1917.56,1445.72 1917.58,1445.72 1917.61,1445.72 1917.63,1445.72 1917.66,1445.72 1917.69,1445.72 \n",
+ " 1917.71,1445.72 1917.74,1445.72 1917.76,1445.72 1917.79,1445.72 1917.81,1445.72 1917.84,1445.72 1917.87,1445.72 1917.89,1445.72 1917.92,1445.72 1917.94,1445.72 \n",
+ " 1917.97,1445.72 1917.99,1445.72 1918.02,1445.72 1918.05,1445.72 1918.07,1445.72 1918.1,1445.72 1918.12,1445.72 1918.15,1445.72 1918.17,1445.72 1918.2,1445.72 \n",
+ " 1918.23,1445.72 1918.25,1445.72 1918.28,1445.72 1918.3,1445.72 1918.33,1445.72 1918.35,1445.72 1918.38,1445.72 1918.41,1445.72 1918.43,1445.72 1918.46,1445.72 \n",
+ " 1918.48,1445.72 1918.51,1445.72 1918.53,1445.72 1918.56,1445.72 1918.59,1445.72 1918.61,1445.72 1918.64,1445.72 1918.66,1445.72 1918.69,1445.72 1918.71,1445.72 \n",
+ " 1918.74,1445.72 1918.76,1445.72 1918.79,1445.72 1918.82,1445.72 1918.84,1445.72 1918.87,1445.72 1918.89,1445.72 1918.92,1445.72 1918.94,1445.72 1918.97,1445.72 \n",
+ " 1919,1445.72 1919.02,1445.72 1919.05,1445.72 1919.07,1445.72 1919.1,1445.72 1919.12,1445.72 1919.15,1445.72 1919.18,1445.72 1919.2,1445.72 1919.23,1445.72 \n",
+ " 1919.25,1445.72 1919.28,1445.72 1919.3,1445.72 1919.33,1445.72 1919.36,1445.72 1919.38,1445.72 1919.41,1445.72 1919.43,1445.72 1919.46,1445.72 1919.48,1445.72 \n",
+ " 1919.51,1445.72 1919.54,1445.72 1919.56,1445.72 1919.59,1445.72 1919.61,1445.72 1919.64,1445.72 1919.66,1445.72 1919.69,1445.72 1919.72,1445.72 1919.74,1445.72 \n",
+ " 1919.77,1445.72 1919.79,1445.72 1919.82,1445.72 1919.84,1445.72 1919.87,1445.72 1919.89,1445.72 1919.92,1445.72 1919.95,1445.72 1919.97,1445.72 1920,1445.72 \n",
+ " 1920.02,1445.72 1920.05,1445.72 1920.07,1445.72 1920.1,1445.72 1920.13,1445.72 1920.15,1445.72 1920.18,1445.72 1920.2,1445.72 1920.23,1445.72 1920.25,1445.72 \n",
+ " 1920.28,1445.72 1920.31,1445.72 1920.33,1445.72 1920.36,1445.72 1920.38,1445.72 1920.41,1445.72 1920.43,1445.72 1920.46,1445.72 1920.49,1445.72 1920.51,1445.72 \n",
+ " 1920.54,1445.72 1920.56,1445.72 1920.59,1445.72 1920.61,1445.72 1920.64,1445.72 1920.67,1445.72 1920.69,1445.72 1920.72,1445.72 1920.74,1445.72 1920.77,1445.72 \n",
+ " 1920.79,1445.72 1920.82,1445.72 1920.85,1445.72 1920.87,1445.72 1920.9,1445.72 1920.92,1445.72 1920.95,1445.72 1920.97,1445.72 1921,1445.72 1921.02,1445.72 \n",
+ " 1921.05,1445.72 1921.08,1445.72 1921.1,1445.72 1921.13,1445.72 1921.15,1445.72 1921.18,1445.72 1921.2,1445.72 1921.23,1445.72 1921.26,1445.72 1921.28,1445.72 \n",
+ " 1921.31,1445.72 1921.33,1445.72 1921.36,1445.72 1921.38,1445.72 1921.41,1445.72 1921.44,1445.72 1921.46,1445.72 1921.49,1445.72 1921.51,1445.72 1921.54,1445.72 \n",
+ " 1921.56,1445.72 1921.59,1445.72 1921.62,1445.72 1921.64,1445.72 1921.67,1445.72 1921.69,1445.72 1921.72,1445.72 1921.74,1445.72 1921.77,1445.72 1921.8,1445.72 \n",
+ " 1921.82,1445.72 1921.85,1445.72 1921.87,1445.72 1921.9,1445.72 1921.92,1445.72 1921.95,1445.72 1921.98,1445.72 1922,1445.72 1922.03,1445.72 1922.05,1445.72 \n",
+ " 1922.08,1445.72 1922.1,1445.72 1922.13,1445.72 1922.15,1445.72 1922.18,1445.72 1922.21,1445.72 1922.23,1445.72 1922.26,1445.72 1922.28,1445.72 1922.31,1445.72 \n",
+ " 1922.33,1445.72 1922.36,1445.72 1922.39,1445.72 1922.41,1445.72 1922.44,1445.72 1922.46,1445.72 1922.49,1445.72 1922.51,1445.72 1922.54,1445.72 1922.57,1445.72 \n",
+ " 1922.59,1445.72 1922.62,1445.72 1922.64,1445.72 1922.67,1445.72 1922.69,1445.72 1922.72,1445.72 1922.75,1445.72 1922.77,1445.72 1922.8,1445.72 1922.82,1445.72 \n",
+ " 1922.85,1445.72 1922.87,1445.72 1922.9,1445.72 1922.93,1445.72 1922.95,1445.72 1922.98,1445.72 1923,1445.72 1923.03,1445.72 1923.05,1445.72 1923.08,1445.72 \n",
+ " 1923.11,1445.72 1923.13,1445.72 1923.16,1445.72 1923.18,1445.72 1923.21,1445.72 1923.23,1445.72 1923.26,1445.72 1923.29,1445.72 1923.31,1445.72 1923.34,1445.72 \n",
+ " 1923.36,1445.72 1923.39,1445.72 1923.41,1445.72 1923.44,1445.72 1923.46,1445.72 1923.49,1445.72 1923.52,1445.72 1923.54,1445.72 1923.57,1445.72 1923.59,1445.72 \n",
+ " 1923.62,1445.72 1923.64,1445.72 1923.67,1445.72 1923.7,1445.72 1923.72,1445.72 1923.75,1445.72 1923.77,1445.72 1923.8,1445.72 1923.82,1445.72 1923.85,1445.72 \n",
+ " 1923.88,1445.72 1923.9,1445.72 1923.93,1445.72 1923.95,1445.72 1923.98,1445.72 1924,1445.72 1924.03,1445.72 1924.06,1445.72 1924.08,1445.72 1924.11,1445.72 \n",
+ " 1924.13,1445.72 1924.16,1445.72 1924.18,1445.72 1924.21,1445.72 1924.24,1445.72 1924.26,1445.72 1924.29,1445.72 1924.31,1445.72 1924.34,1445.72 1924.36,1445.72 \n",
+ " 1924.39,1445.72 1924.42,1445.72 1924.44,1445.72 1924.47,1445.72 1924.49,1445.72 1924.52,1445.72 1924.54,1445.72 1924.57,1445.72 1924.59,1445.72 1924.62,1445.72 \n",
+ " 1924.65,1445.72 1924.67,1445.72 1924.7,1445.72 1924.72,1445.72 1924.75,1445.72 1924.77,1445.72 1924.8,1445.72 1924.83,1445.72 1924.85,1445.72 1924.88,1445.72 \n",
+ " 1924.9,1445.72 1924.93,1445.72 1924.95,1445.72 1924.98,1445.72 1925.01,1445.72 1925.03,1445.72 1925.06,1445.72 1925.08,1445.72 1925.11,1445.72 1925.13,1445.72 \n",
+ " 1925.16,1445.72 1925.19,1445.72 1925.21,1445.72 1925.24,1445.72 1925.26,1445.72 1925.29,1445.72 1925.31,1445.72 1925.34,1445.72 1925.37,1445.72 1925.39,1445.72 \n",
+ " 1925.42,1445.72 1925.44,1445.72 1925.47,1445.72 1925.49,1445.72 1925.52,1445.72 1925.55,1445.72 1925.57,1445.72 1925.6,1445.72 1925.62,1445.72 1925.65,1445.72 \n",
+ " 1925.67,1445.72 1925.7,1445.72 1925.72,1445.72 1925.75,1445.72 1925.78,1445.72 1925.8,1445.72 1925.83,1445.72 1925.85,1445.72 1925.88,1445.72 1925.9,1445.72 \n",
+ " 1925.93,1445.72 1925.96,1445.72 1925.98,1445.72 1926.01,1445.72 1926.03,1445.72 1926.06,1445.72 1926.08,1445.72 1926.11,1445.72 1926.14,1445.72 1926.16,1445.72 \n",
+ " 1926.19,1445.72 1926.21,1445.72 1926.24,1445.72 1926.26,1445.72 1926.29,1445.72 1926.32,1445.72 1926.34,1445.72 1926.37,1445.72 1926.39,1445.72 1926.42,1445.72 \n",
+ " 1926.44,1445.72 1926.47,1445.72 1926.5,1445.72 1926.52,1445.72 1926.55,1445.72 1926.57,1445.72 1926.6,1445.72 1926.62,1445.72 1926.65,1445.72 1926.68,1445.72 \n",
+ " 1926.7,1445.72 1926.73,1445.72 1926.75,1445.72 1926.78,1445.72 1926.8,1445.72 1926.83,1445.72 1926.85,1445.72 1926.88,1445.72 1926.91,1445.72 1926.93,1445.72 \n",
+ " 1926.96,1445.72 1926.98,1445.72 1927.01,1445.72 1927.03,1445.72 1927.06,1445.72 1927.09,1445.72 1927.11,1445.72 1927.14,1445.72 1927.16,1445.72 1927.19,1445.72 \n",
+ " 1927.21,1445.72 1927.24,1445.72 1927.27,1445.72 1927.29,1445.72 1927.32,1445.72 1927.34,1445.72 1927.37,1445.72 1927.39,1445.72 1927.42,1445.72 1927.45,1445.72 \n",
+ " 1927.47,1445.72 1927.5,1445.72 1927.52,1445.72 1927.55,1445.72 1927.57,1445.72 1927.6,1445.72 1927.63,1445.72 1927.65,1445.72 1927.68,1445.72 1927.7,1445.72 \n",
+ " 1927.73,1445.72 1927.75,1445.72 1927.78,1445.72 1927.81,1445.72 1927.83,1445.72 1927.86,1445.72 1927.88,1445.72 1927.91,1445.72 1927.93,1445.72 1927.96,1445.72 \n",
+ " 1927.99,1445.72 1928.01,1445.72 1928.04,1445.72 1928.06,1445.72 1928.09,1445.72 1928.11,1445.72 1928.14,1445.72 1928.16,1445.72 1928.19,1445.72 1928.22,1445.72 \n",
+ " 1928.24,1445.72 1928.27,1445.72 1928.29,1445.72 1928.32,1445.72 1928.34,1445.72 1928.37,1445.72 1928.4,1445.72 1928.42,1445.72 1928.45,1445.72 1928.47,1445.72 \n",
+ " 1928.5,1445.72 1928.52,1445.72 1928.55,1445.72 1928.58,1445.72 1928.6,1445.72 1928.63,1445.72 1928.65,1445.72 1928.68,1445.72 1928.7,1445.72 1928.73,1445.72 \n",
+ " 1928.76,1445.72 1928.78,1445.72 1928.81,1445.72 1928.83,1445.72 1928.86,1445.72 1928.88,1445.72 1928.91,1445.72 1928.94,1445.72 1928.96,1445.72 1928.99,1445.72 \n",
+ " 1929.01,1445.72 1929.04,1445.72 1929.06,1445.72 1929.09,1445.72 1929.12,1445.72 1929.14,1445.72 1929.17,1445.72 1929.19,1445.72 1929.22,1445.72 1929.24,1445.72 \n",
+ " 1929.27,1445.72 1929.29,1445.72 1929.32,1445.72 1929.35,1445.72 1929.37,1445.72 1929.4,1445.72 1929.42,1445.72 1929.45,1445.72 1929.47,1445.72 1929.5,1445.72 \n",
+ " 1929.53,1445.72 1929.55,1445.72 1929.58,1445.72 1929.6,1445.72 1929.63,1445.72 1929.65,1445.72 1929.68,1445.72 1929.71,1445.72 1929.73,1445.72 1929.76,1445.72 \n",
+ " 1929.78,1445.72 1929.81,1445.72 1929.83,1445.72 1929.86,1445.72 1929.89,1445.72 1929.91,1445.72 1929.94,1445.72 1929.96,1445.72 1929.99,1445.72 1930.01,1445.72 \n",
+ " 1930.04,1445.72 1930.07,1445.72 1930.09,1445.72 1930.12,1445.72 1930.14,1445.72 1930.17,1445.72 1930.19,1445.72 1930.22,1445.72 1930.25,1445.72 1930.27,1445.72 \n",
+ " 1930.3,1445.72 1930.32,1445.72 1930.35,1445.72 1930.37,1445.72 1930.4,1445.72 1930.42,1445.72 1930.45,1445.72 1930.48,1445.72 1930.5,1445.72 1930.53,1445.72 \n",
+ " 1930.55,1445.72 1930.58,1445.72 1930.6,1445.72 1930.63,1445.72 1930.66,1445.72 1930.68,1445.72 1930.71,1445.72 1930.73,1445.72 1930.76,1445.72 1930.78,1445.72 \n",
+ " 1930.81,1445.72 1930.84,1445.72 1930.86,1445.72 1930.89,1445.72 1930.91,1445.72 1930.94,1445.72 1930.96,1445.72 1930.99,1445.72 1931.02,1445.72 1931.04,1445.72 \n",
+ " 1931.07,1445.72 1931.09,1445.72 1931.12,1445.72 1931.14,1445.72 1931.17,1445.72 1931.2,1445.72 1931.22,1445.72 1931.25,1445.72 1931.27,1445.72 1931.3,1445.72 \n",
+ " 1931.32,1445.72 1931.35,1445.72 1931.38,1445.72 1931.4,1445.72 1931.43,1445.72 1931.45,1445.72 1931.48,1445.72 1931.5,1445.72 1931.53,1445.72 1931.55,1445.72 \n",
+ " 1931.58,1445.72 1931.61,1445.72 1931.63,1445.72 1931.66,1445.72 1931.68,1445.72 1931.71,1445.72 1931.73,1445.72 1931.76,1445.72 1931.79,1445.72 1931.81,1445.72 \n",
+ " 1931.84,1445.72 1931.86,1445.72 1931.89,1445.72 1931.91,1445.72 1931.94,1445.72 1931.97,1445.72 1931.99,1445.72 1932.02,1445.72 1932.04,1445.72 1932.07,1445.72 \n",
+ " 1932.09,1445.72 1932.12,1445.72 1932.15,1445.72 1932.17,1445.72 1932.2,1445.72 1932.22,1445.72 1932.25,1445.72 1932.27,1445.72 1932.3,1445.72 1932.33,1445.72 \n",
+ " 1932.35,1445.72 1932.38,1445.72 1932.4,1445.72 1932.43,1445.72 1932.45,1445.72 1932.48,1445.72 1932.51,1445.72 1932.53,1445.72 1932.56,1445.72 1932.58,1445.72 \n",
+ " 1932.61,1445.72 1932.63,1445.72 1932.66,1445.72 1932.69,1445.72 1932.71,1445.72 1932.74,1445.72 1932.76,1445.72 1932.79,1445.72 1932.81,1445.72 1932.84,1445.72 \n",
+ " 1932.86,1445.72 1932.89,1445.72 1932.92,1445.72 1932.94,1445.72 1932.97,1445.72 1932.99,1445.72 1933.02,1445.72 1933.04,1445.72 1933.07,1445.72 1933.1,1445.72 \n",
+ " 1933.12,1445.72 1933.15,1445.72 1933.17,1445.72 1933.2,1445.72 1933.22,1445.72 1933.25,1445.72 1933.28,1445.72 1933.3,1445.72 1933.33,1445.72 1933.35,1445.72 \n",
+ " 1933.38,1445.72 1933.4,1445.72 1933.43,1445.72 1933.46,1445.72 1933.48,1445.72 1933.51,1445.72 1933.53,1445.72 1933.56,1445.72 1933.58,1445.72 1933.61,1445.72 \n",
+ " 1933.64,1445.72 1933.66,1445.72 1933.69,1445.72 1933.71,1445.72 1933.74,1445.72 1933.76,1445.72 1933.79,1445.72 1933.82,1445.72 1933.84,1445.72 1933.87,1445.72 \n",
+ " 1933.89,1445.72 1933.92,1445.72 1933.94,1445.72 1933.97,1445.72 1933.99,1445.72 1934.02,1445.72 1934.05,1445.72 1934.07,1445.72 1934.1,1445.72 1934.12,1445.72 \n",
+ " 1934.15,1445.72 1934.17,1445.72 1934.2,1445.72 1934.23,1445.72 1934.25,1445.72 1934.28,1445.72 1934.3,1445.72 1934.33,1445.72 1934.35,1445.72 1934.38,1445.72 \n",
+ " 1934.41,1445.72 1934.43,1445.72 1934.46,1445.72 1934.48,1445.72 1934.51,1445.72 1934.53,1445.72 1934.56,1445.72 1934.59,1445.72 1934.61,1445.72 1934.64,1445.72 \n",
+ " 1934.66,1445.72 1934.69,1445.72 1934.71,1445.72 1934.74,1445.72 1934.77,1445.72 1934.79,1445.72 1934.82,1445.72 1934.84,1445.72 1934.87,1445.72 1934.89,1445.72 \n",
+ " 1934.92,1445.72 1934.95,1445.72 1934.97,1445.72 1935,1445.72 1935.02,1445.72 1935.05,1445.72 1935.07,1445.72 1935.1,1445.72 1935.12,1445.72 1935.15,1445.72 \n",
+ " 1935.18,1445.72 1935.2,1445.72 1935.23,1445.72 1935.25,1445.72 1935.28,1445.72 1935.3,1445.72 1935.33,1445.72 1935.36,1445.72 1935.38,1445.72 1935.41,1445.72 \n",
+ " 1935.43,1445.72 1935.46,1445.72 1935.48,1445.72 1935.51,1445.72 1935.54,1445.72 1935.56,1445.72 1935.59,1445.72 1935.61,1445.72 1935.64,1445.72 1935.66,1445.72 \n",
+ " 1935.69,1445.72 1935.72,1445.72 1935.74,1445.72 1935.77,1445.72 1935.79,1445.72 1935.82,1445.72 1935.84,1445.72 1935.87,1445.72 1935.9,1445.72 1935.92,1445.72 \n",
+ " 1935.95,1445.72 1935.97,1445.72 1936,1445.72 1936.02,1445.72 1936.05,1445.72 1936.08,1445.72 1936.1,1445.72 1936.13,1445.72 1936.15,1445.72 1936.18,1445.72 \n",
+ " 1936.2,1445.72 1936.23,1445.72 1936.25,1445.72 1936.28,1445.72 1936.31,1445.72 1936.33,1445.72 1936.36,1445.72 1936.38,1445.72 1936.41,1445.72 1936.43,1445.72 \n",
+ " 1936.46,1445.72 1936.49,1445.72 1936.51,1445.72 1936.54,1445.72 1936.56,1445.72 1936.59,1445.72 1936.61,1445.72 1936.64,1445.72 1936.67,1445.72 1936.69,1445.72 \n",
+ " 1936.72,1445.72 1936.74,1445.72 1936.77,1445.72 1936.79,1445.72 1936.82,1445.72 1936.85,1445.72 1936.87,1445.72 1936.9,1445.72 1936.92,1445.72 1936.95,1445.72 \n",
+ " 1936.97,1445.72 1937,1445.72 1937.03,1445.72 1937.05,1445.72 1937.08,1445.72 1937.1,1445.72 1937.13,1445.72 1937.15,1445.72 1937.18,1445.72 1937.21,1445.72 \n",
+ " 1937.23,1445.72 1937.26,1445.72 1937.28,1445.72 1937.31,1445.72 1937.33,1445.72 1937.36,1445.72 1937.39,1445.72 1937.41,1445.72 1937.44,1445.72 1937.46,1445.72 \n",
+ " 1937.49,1445.72 1937.51,1445.72 1937.54,1445.72 1937.56,1445.72 1937.59,1445.72 1937.62,1445.72 1937.64,1445.72 1937.67,1445.72 1937.69,1445.72 1937.72,1445.72 \n",
+ " 1937.74,1445.72 1937.77,1445.72 1937.8,1445.72 1937.82,1445.72 1937.85,1445.72 1937.87,1445.72 1937.9,1445.72 1937.92,1445.72 1937.95,1445.72 1937.98,1445.72 \n",
+ " 1938,1445.72 1938.03,1445.72 1938.05,1445.72 1938.08,1445.72 1938.1,1445.72 1938.13,1445.72 1938.16,1445.72 1938.18,1445.72 1938.21,1445.72 1938.23,1445.72 \n",
+ " 1938.26,1445.72 1938.28,1445.72 1938.31,1445.72 1938.34,1445.72 1938.36,1445.72 1938.39,1445.72 1938.41,1445.72 1938.44,1445.72 1938.46,1445.72 1938.49,1445.72 \n",
+ " 1938.52,1445.72 1938.54,1445.72 1938.57,1445.72 1938.59,1445.72 1938.62,1445.72 1938.64,1445.72 1938.67,1445.72 1938.69,1445.72 1938.72,1445.72 1938.75,1445.72 \n",
+ " 1938.77,1445.72 1938.8,1445.72 1938.82,1445.72 1938.85,1445.72 1938.87,1445.72 1938.9,1445.72 1938.93,1445.72 1938.95,1445.72 1938.98,1445.72 1939,1445.72 \n",
+ " 1939.03,1445.72 1939.05,1445.72 1939.08,1445.72 1939.11,1445.72 1939.13,1445.72 1939.16,1445.72 1939.18,1445.72 1939.21,1445.72 1939.23,1445.72 1939.26,1445.72 \n",
+ " 1939.29,1445.72 1939.31,1445.72 1939.34,1445.72 1939.36,1445.72 1939.39,1445.72 1939.41,1445.72 1939.44,1445.72 1939.47,1445.72 1939.49,1445.72 1939.52,1445.72 \n",
+ " 1939.54,1445.72 1939.57,1445.72 1939.59,1445.72 1939.62,1445.72 1939.65,1445.72 1939.67,1445.72 1939.7,1445.72 1939.72,1445.72 1939.75,1445.72 1939.77,1445.72 \n",
+ " 1939.8,1445.72 1939.82,1445.72 1939.85,1445.72 1939.88,1445.72 1939.9,1445.72 1939.93,1445.72 1939.95,1445.72 1939.98,1445.72 1940,1445.72 1940.03,1445.72 \n",
+ " 1940.06,1445.72 1940.08,1445.72 1940.11,1445.72 1940.13,1445.72 1940.16,1445.72 1940.18,1445.72 1940.21,1445.72 1940.24,1445.72 1940.26,1445.72 1940.29,1445.72 \n",
+ " 1940.31,1445.72 1940.34,1445.72 1940.36,1445.72 1940.39,1445.72 1940.42,1445.72 1940.44,1445.72 1940.47,1445.72 1940.49,1445.72 1940.52,1445.72 1940.54,1445.72 \n",
+ " 1940.57,1445.72 1940.6,1445.72 1940.62,1445.72 1940.65,1445.72 1940.67,1445.72 1940.7,1445.72 1940.72,1445.72 1940.75,1445.72 1940.78,1445.72 1940.8,1445.72 \n",
+ " 1940.83,1445.72 1940.85,1445.72 1940.88,1445.72 1940.9,1445.72 1940.93,1445.72 1940.95,1445.72 1940.98,1445.72 1941.01,1445.72 1941.03,1445.72 1941.06,1445.72 \n",
+ " 1941.08,1445.72 1941.11,1445.72 1941.13,1445.72 1941.16,1445.72 1941.19,1445.72 1941.21,1445.72 1941.24,1445.72 1941.26,1445.72 1941.29,1445.72 1941.31,1445.72 \n",
+ " 1941.34,1445.72 1941.37,1445.72 1941.39,1445.72 1941.42,1445.72 1941.44,1445.72 1941.47,1445.72 1941.49,1445.72 1941.52,1445.72 1941.55,1445.72 1941.57,1445.72 \n",
+ " 1941.6,1445.72 1941.62,1445.72 1941.65,1445.72 1941.67,1445.72 1941.7,1445.72 1941.73,1445.72 1941.75,1445.72 1941.78,1445.72 1941.8,1445.72 1941.83,1445.72 \n",
+ " 1941.85,1445.72 1941.88,1445.72 1941.91,1445.72 1941.93,1445.72 1941.96,1445.72 1941.98,1445.72 1942.01,1445.72 1942.03,1445.72 1942.06,1445.72 1942.08,1445.72 \n",
+ " 1942.11,1445.72 1942.14,1445.72 1942.16,1445.72 1942.19,1445.72 1942.21,1445.72 1942.24,1445.72 1942.26,1445.72 1942.29,1445.72 1942.32,1445.72 1942.34,1445.72 \n",
+ " 1942.37,1445.72 1942.39,1445.72 1942.42,1445.72 1942.44,1445.72 1942.47,1445.72 1942.5,1445.72 1942.52,1445.72 1942.55,1445.72 1942.57,1445.72 1942.6,1445.72 \n",
+ " 1942.62,1445.72 1942.65,1445.72 1942.68,1445.72 1942.7,1445.72 1942.73,1445.72 1942.75,1445.72 1942.78,1445.72 1942.8,1445.72 1942.83,1445.72 1942.86,1445.72 \n",
+ " 1942.88,1445.72 1942.91,1445.72 1942.93,1445.72 1942.96,1445.72 1942.98,1445.72 1943.01,1445.72 1943.04,1445.72 1943.06,1445.72 1943.09,1445.72 1943.11,1445.72 \n",
+ " 1943.14,1445.72 1943.16,1445.72 1943.19,1445.72 1943.22,1445.72 1943.24,1445.72 1943.27,1445.72 1943.29,1445.72 1943.32,1445.72 1943.34,1445.72 1943.37,1445.72 \n",
+ " 1943.39,1445.72 1943.42,1445.72 1943.45,1445.72 1943.47,1445.72 1943.5,1445.72 1943.52,1445.72 1943.55,1445.72 1943.57,1445.72 1943.6,1445.72 1943.63,1445.72 \n",
+ " 1943.65,1445.72 1943.68,1445.72 1943.7,1445.72 1943.73,1445.72 1943.75,1445.72 1943.78,1445.72 1943.81,1445.72 1943.83,1445.72 1943.86,1445.72 1943.88,1445.72 \n",
+ " 1943.91,1445.72 1943.93,1445.72 1943.96,1445.72 1943.99,1445.72 1944.01,1445.72 1944.04,1445.72 1944.06,1445.72 1944.09,1445.72 1944.11,1445.72 1944.14,1445.72 \n",
+ " 1944.17,1445.72 1944.19,1445.72 1944.22,1445.72 1944.24,1445.72 1944.27,1445.72 1944.29,1445.72 1944.32,1445.72 1944.35,1445.72 1944.37,1445.72 1944.4,1445.72 \n",
+ " 1944.42,1445.72 1944.45,1445.72 1944.47,1445.72 1944.5,1445.72 1944.52,1445.72 1944.55,1445.72 1944.58,1445.72 1944.6,1445.72 1944.63,1445.72 1944.65,1445.72 \n",
+ " 1944.68,1445.72 1944.7,1445.72 1944.73,1445.72 1944.76,1445.72 1944.78,1445.72 1944.81,1445.72 1944.83,1445.72 1944.86,1445.72 1944.88,1445.72 1944.91,1445.72 \n",
+ " 1944.94,1445.72 1944.96,1445.72 1944.99,1445.72 1945.01,1445.72 1945.04,1445.72 1945.06,1445.72 1945.09,1445.72 1945.12,1445.72 1945.14,1445.72 1945.17,1445.72 \n",
+ " 1945.19,1445.72 1945.22,1445.72 1945.24,1445.72 1945.27,1445.72 1945.3,1445.72 1945.32,1445.72 1945.35,1445.72 1945.37,1445.72 1945.4,1445.72 1945.42,1445.72 \n",
+ " 1945.45,1445.72 1945.48,1445.72 1945.5,1445.72 1945.53,1445.72 1945.55,1445.72 1945.58,1445.72 1945.6,1445.72 1945.63,1445.72 1945.65,1445.72 1945.68,1445.72 \n",
+ " 1945.71,1445.72 1945.73,1445.72 1945.76,1445.72 1945.78,1445.72 1945.81,1445.72 1945.83,1445.72 1945.86,1445.72 1945.89,1445.72 1945.91,1445.72 1945.94,1445.72 \n",
+ " 1945.96,1445.72 1945.99,1445.72 1946.01,1445.72 1946.04,1445.72 1946.07,1445.72 1946.09,1445.72 1946.12,1445.72 1946.14,1445.72 1946.17,1445.72 1946.19,1445.72 \n",
+ " 1946.22,1445.72 1946.25,1445.72 1946.27,1445.72 1946.3,1445.72 1946.32,1445.72 1946.35,1445.72 1946.37,1445.72 1946.4,1445.72 1946.43,1445.72 1946.45,1445.72 \n",
+ " 1946.48,1445.72 1946.5,1445.72 1946.53,1445.72 1946.55,1445.72 1946.58,1445.72 1946.61,1445.72 1946.63,1445.72 1946.66,1445.72 1946.68,1445.72 1946.71,1445.72 \n",
+ " 1946.73,1445.72 1946.76,1445.72 1946.78,1445.72 1946.81,1445.72 1946.84,1445.72 1946.86,1445.72 1946.89,1445.72 1946.91,1445.72 1946.94,1445.72 1946.96,1445.72 \n",
+ " 1946.99,1445.72 1947.02,1445.72 1947.04,1445.72 1947.07,1445.72 1947.09,1445.72 1947.12,1445.72 1947.14,1445.72 1947.17,1445.72 1947.2,1445.72 1947.22,1445.72 \n",
+ " 1947.25,1445.72 1947.27,1445.72 1947.3,1445.72 1947.32,1445.72 1947.35,1445.72 1947.38,1445.72 1947.4,1445.72 1947.43,1445.72 1947.45,1445.72 1947.48,1445.72 \n",
+ " 1947.5,1445.72 1947.53,1445.72 1947.56,1445.72 1947.58,1445.72 1947.61,1445.72 1947.63,1445.72 1947.66,1445.72 1947.68,1445.72 1947.71,1445.72 1947.74,1445.72 \n",
+ " 1947.76,1445.72 1947.79,1445.72 1947.81,1445.72 1947.84,1445.72 1947.86,1445.72 1947.89,1445.72 1947.92,1445.72 1947.94,1445.72 1947.97,1445.72 1947.99,1445.72 \n",
+ " 1948.02,1445.72 1948.04,1445.72 1948.07,1445.72 1948.09,1445.72 1948.12,1445.72 1948.15,1445.72 1948.17,1445.72 1948.2,1445.72 1948.22,1445.72 1948.25,1445.72 \n",
+ " 1948.27,1445.72 1948.3,1445.72 1948.33,1445.72 1948.35,1445.72 1948.38,1445.72 1948.4,1445.72 1948.43,1445.72 1948.45,1445.72 1948.48,1445.72 1948.51,1445.72 \n",
+ " 1948.53,1445.72 1948.56,1445.72 1948.58,1445.72 1948.61,1445.72 1948.63,1445.72 1948.66,1445.72 1948.69,1445.72 1948.71,1445.72 1948.74,1445.72 1948.76,1445.72 \n",
+ " 1948.79,1445.72 1948.81,1445.72 1948.84,1445.72 1948.87,1445.72 1948.89,1445.72 1948.92,1445.72 1948.94,1445.72 1948.97,1445.72 1948.99,1445.72 1949.02,1445.72 \n",
+ " 1949.05,1445.72 1949.07,1445.72 1949.1,1445.72 1949.12,1445.72 1949.15,1445.72 1949.17,1445.72 1949.2,1445.72 1949.22,1445.72 1949.25,1445.72 1949.28,1445.72 \n",
+ " 1949.3,1445.72 1949.33,1445.72 1949.35,1445.72 1949.38,1445.72 1949.4,1445.72 1949.43,1445.72 1949.46,1445.72 1949.48,1445.72 1949.51,1445.72 1949.53,1445.72 \n",
+ " 1949.56,1445.72 1949.58,1445.72 1949.61,1445.72 1949.64,1445.72 1949.66,1445.72 1949.69,1445.72 1949.71,1445.72 1949.74,1445.72 1949.76,1445.72 1949.79,1445.72 \n",
+ " 1949.82,1445.72 1949.84,1445.72 1949.87,1445.72 1949.89,1445.72 1949.92,1445.72 1949.94,1445.72 1949.97,1445.72 1950,1445.72 1950.02,1445.72 1950.05,1445.72 \n",
+ " 1950.07,1445.72 1950.1,1445.72 1950.12,1445.72 1950.15,1445.72 1950.18,1445.72 1950.2,1445.72 1950.23,1445.72 1950.25,1445.72 1950.28,1445.72 1950.3,1445.72 \n",
+ " 1950.33,1445.72 1950.35,1445.72 1950.38,1445.72 1950.41,1445.72 1950.43,1445.72 1950.46,1445.72 1950.48,1445.72 1950.51,1445.72 1950.53,1445.72 1950.56,1445.72 \n",
+ " 1950.59,1445.72 1950.61,1445.72 1950.64,1445.72 1950.66,1445.72 1950.69,1445.72 1950.71,1445.72 1950.74,1445.72 1950.77,1445.72 1950.79,1445.72 1950.82,1445.72 \n",
+ " 1950.84,1445.72 1950.87,1445.72 1950.89,1445.72 1950.92,1445.72 1950.95,1445.72 1950.97,1445.72 1951,1445.72 1951.02,1445.72 1951.05,1445.72 1951.07,1445.72 \n",
+ " 1951.1,1445.72 1951.13,1445.72 1951.15,1445.72 1951.18,1445.72 1951.2,1445.72 1951.23,1445.72 1951.25,1445.72 1951.28,1445.72 1951.31,1445.72 1951.33,1445.72 \n",
+ " 1951.36,1445.72 1951.38,1445.72 1951.41,1445.72 1951.43,1445.72 1951.46,1445.72 1951.48,1445.72 1951.51,1445.72 1951.54,1445.72 1951.56,1445.72 1951.59,1445.72 \n",
+ " 1951.61,1445.72 1951.64,1445.72 1951.66,1445.72 1951.69,1445.72 1951.72,1445.72 1951.74,1445.72 1951.77,1445.72 1951.79,1445.72 1951.82,1445.72 1951.84,1445.72 \n",
+ " 1951.87,1445.72 1951.9,1445.72 1951.92,1445.72 1951.95,1445.72 1951.97,1445.72 1952,1445.72 1952.02,1445.72 1952.05,1445.72 1952.08,1445.72 1952.1,1445.72 \n",
+ " 1952.13,1445.72 1952.15,1445.72 1952.18,1445.72 1952.2,1445.72 1952.23,1445.72 1952.26,1445.72 1952.28,1445.72 1952.31,1445.72 1952.33,1445.72 1952.36,1445.72 \n",
+ " 1952.38,1445.72 1952.41,1445.72 1952.44,1445.72 1952.46,1445.72 1952.49,1445.72 1952.51,1445.72 1952.54,1445.72 1952.56,1445.72 1952.59,1445.72 1952.62,1445.72 \n",
+ " 1952.64,1445.72 1952.67,1445.72 1952.69,1445.72 1952.72,1445.72 1952.74,1445.72 1952.77,1445.72 1952.79,1445.72 1952.82,1445.72 1952.85,1445.72 1952.87,1445.72 \n",
+ " 1952.9,1445.72 1952.92,1445.72 1952.95,1445.72 1952.97,1445.72 1953,1445.72 1953.03,1445.72 1953.05,1445.72 1953.08,1445.72 1953.1,1445.72 1953.13,1445.72 \n",
+ " 1953.15,1445.72 1953.18,1445.72 1953.21,1445.72 1953.23,1445.72 1953.26,1445.72 1953.28,1445.72 1953.31,1445.72 1953.33,1445.72 1953.36,1445.72 1953.39,1445.72 \n",
+ " 1953.41,1445.72 1953.44,1445.72 1953.46,1445.72 1953.49,1445.72 1953.51,1445.72 1953.54,1445.72 1953.57,1445.72 1953.59,1445.72 1953.62,1445.72 1953.64,1445.72 \n",
+ " 1953.67,1445.72 1953.69,1445.72 1953.72,1445.72 1953.75,1445.72 1953.77,1445.72 1953.8,1445.72 1953.82,1445.72 1953.85,1445.72 1953.87,1445.72 1953.9,1445.72 \n",
+ " 1953.92,1445.72 1953.95,1445.72 1953.98,1445.72 1954,1445.72 1954.03,1445.72 1954.05,1445.72 1954.08,1445.72 1954.1,1445.72 1954.13,1445.72 1954.16,1445.72 \n",
+ " 1954.18,1445.72 1954.21,1445.72 1954.23,1445.72 1954.26,1445.72 1954.28,1445.72 1954.31,1445.72 1954.34,1445.72 1954.36,1445.72 1954.39,1445.72 1954.41,1445.72 \n",
+ " 1954.44,1445.72 1954.46,1445.72 1954.49,1445.72 1954.52,1445.72 1954.54,1445.72 1954.57,1445.72 1954.59,1445.72 1954.62,1445.72 1954.64,1445.72 1954.67,1445.72 \n",
+ " 1954.7,1445.72 1954.72,1445.72 1954.75,1445.72 1954.77,1445.72 1954.8,1445.72 1954.82,1445.72 1954.85,1445.72 1954.88,1445.72 1954.9,1445.72 1954.93,1445.72 \n",
+ " 1954.95,1445.72 1954.98,1445.72 1955,1445.72 1955.03,1445.72 1955.05,1445.72 1955.08,1445.72 1955.11,1445.72 1955.13,1445.72 1955.16,1445.72 1955.18,1445.72 \n",
+ " 1955.21,1445.72 1955.23,1445.72 1955.26,1445.72 1955.29,1445.72 1955.31,1445.72 1955.34,1445.72 1955.36,1445.72 1955.39,1445.72 1955.41,1445.72 1955.44,1445.72 \n",
+ " 1955.47,1445.72 1955.49,1445.72 1955.52,1445.72 1955.54,1445.72 1955.57,1445.72 1955.59,1445.72 1955.62,1445.72 1955.65,1445.72 1955.67,1445.72 1955.7,1445.72 \n",
+ " 1955.72,1445.72 1955.75,1445.72 1955.77,1445.72 1955.8,1445.72 1955.83,1445.72 1955.85,1445.72 1955.88,1445.72 1955.9,1445.72 1955.93,1445.72 1955.95,1445.72 \n",
+ " 1955.98,1445.72 1956.01,1445.72 1956.03,1445.72 1956.06,1445.72 1956.08,1445.72 1956.11,1445.72 1956.13,1445.72 1956.16,1445.72 1956.18,1445.72 1956.21,1445.72 \n",
+ " 1956.24,1445.72 1956.26,1445.72 1956.29,1445.72 1956.31,1445.72 1956.34,1445.72 1956.36,1445.72 1956.39,1445.72 1956.42,1445.72 1956.44,1445.72 1956.47,1445.72 \n",
+ " 1956.49,1445.72 1956.52,1445.72 1956.54,1445.72 1956.57,1445.72 1956.6,1445.72 1956.62,1445.72 1956.65,1445.72 1956.67,1445.72 1956.7,1445.72 1956.72,1445.72 \n",
+ " 1956.75,1445.72 1956.78,1445.72 1956.8,1445.72 1956.83,1445.72 1956.85,1445.72 1956.88,1445.72 1956.9,1445.72 1956.93,1445.72 1956.96,1445.72 1956.98,1445.72 \n",
+ " 1957.01,1445.72 1957.03,1445.72 1957.06,1445.72 1957.08,1445.72 1957.11,1445.72 1957.14,1445.72 1957.16,1445.72 1957.19,1445.72 1957.21,1445.72 1957.24,1445.72 \n",
+ " 1957.26,1445.72 1957.29,1445.72 1957.32,1445.72 1957.34,1445.72 1957.37,1445.72 1957.39,1445.72 1957.42,1445.72 1957.44,1445.72 1957.47,1445.72 1957.49,1445.72 \n",
+ " 1957.52,1445.72 1957.55,1445.72 1957.57,1445.72 1957.6,1445.72 1957.62,1445.72 1957.65,1445.72 1957.67,1445.72 1957.7,1445.72 1957.73,1445.72 1957.75,1445.72 \n",
+ " 1957.78,1445.72 1957.8,1445.72 1957.83,1445.72 1957.85,1445.72 1957.88,1445.72 1957.91,1445.72 1957.93,1445.72 1957.96,1445.72 1957.98,1445.72 1958.01,1445.72 \n",
+ " 1958.03,1445.72 1958.06,1445.72 1958.09,1445.72 1958.11,1445.72 1958.14,1445.72 1958.16,1445.72 1958.19,1445.72 1958.21,1445.72 1958.24,1445.72 1958.27,1445.72 \n",
+ " 1958.29,1445.72 1958.32,1445.72 1958.34,1445.72 1958.37,1445.72 1958.39,1445.72 1958.42,1445.72 1958.45,1445.72 1958.47,1445.72 1958.5,1445.72 1958.52,1445.72 \n",
+ " 1958.55,1445.72 1958.57,1445.72 1958.6,1445.72 1958.62,1445.72 1958.65,1445.72 1958.68,1445.72 1958.7,1445.72 1958.73,1445.72 1958.75,1445.72 1958.78,1445.72 \n",
+ " 1958.8,1445.72 1958.83,1445.72 1958.86,1445.72 1958.88,1445.72 1958.91,1445.72 1958.93,1445.72 1958.96,1445.72 1958.98,1445.72 1959.01,1445.72 1959.04,1445.72 \n",
+ " 1959.06,1445.72 1959.09,1445.72 1959.11,1445.72 1959.14,1445.72 1959.16,1445.72 1959.19,1445.72 1959.22,1445.72 1959.24,1445.72 1959.27,1445.72 1959.29,1445.72 \n",
+ " 1959.32,1445.72 1959.34,1445.72 1959.37,1445.72 1959.4,1445.72 1959.42,1445.72 1959.45,1445.72 1959.47,1445.72 1959.5,1445.72 1959.52,1445.72 1959.55,1445.72 \n",
+ " 1959.58,1445.72 1959.6,1445.72 1959.63,1445.72 1959.65,1445.72 1959.68,1445.72 1959.7,1445.72 1959.73,1445.72 1959.75,1445.72 1959.78,1445.72 1959.81,1445.72 \n",
+ " 1959.83,1445.72 1959.86,1445.72 1959.88,1445.72 1959.91,1445.72 1959.93,1445.72 1959.96,1445.72 1959.99,1445.72 1960.01,1445.72 1960.04,1445.72 1960.06,1445.72 \n",
+ " 1960.09,1445.72 1960.11,1445.72 1960.14,1445.72 1960.17,1445.72 1960.19,1445.72 1960.22,1445.72 1960.24,1445.72 1960.27,1445.72 1960.29,1445.72 1960.32,1445.72 \n",
+ " 1960.35,1445.72 1960.37,1445.72 1960.4,1445.72 1960.42,1445.72 1960.45,1445.72 1960.47,1445.72 1960.5,1445.72 1960.53,1445.72 1960.55,1445.72 1960.58,1445.72 \n",
+ " 1960.6,1445.72 1960.63,1445.72 1960.65,1445.72 1960.68,1445.72 1960.71,1445.72 1960.73,1445.72 1960.76,1445.72 1960.78,1445.72 1960.81,1445.72 1960.83,1445.72 \n",
+ " 1960.86,1445.72 1960.88,1445.72 1960.91,1445.72 1960.94,1445.72 1960.96,1445.72 1960.99,1445.72 1961.01,1445.72 1961.04,1445.72 1961.06,1445.72 1961.09,1445.72 \n",
+ " 1961.12,1445.72 1961.14,1445.72 1961.17,1445.72 1961.19,1445.72 1961.22,1445.72 1961.24,1445.72 1961.27,1445.72 1961.3,1445.72 1961.32,1445.72 1961.35,1445.72 \n",
+ " 1961.37,1445.72 1961.4,1445.72 1961.42,1445.72 1961.45,1445.72 1961.48,1445.72 1961.5,1445.72 1961.53,1445.72 1961.55,1445.72 1961.58,1445.72 1961.6,1445.72 \n",
+ " 1961.63,1445.72 1961.66,1445.72 1961.68,1445.72 1961.71,1445.72 1961.73,1445.72 1961.76,1445.72 1961.78,1445.72 1961.81,1445.72 1961.84,1445.72 1961.86,1445.72 \n",
+ " 1961.89,1445.72 1961.91,1445.72 1961.94,1445.72 1961.96,1445.72 1961.99,1445.72 1962.02,1445.72 1962.04,1445.72 1962.07,1445.72 1962.09,1445.72 1962.12,1445.72 \n",
+ " 1962.14,1445.72 1962.17,1445.72 1962.19,1445.72 1962.22,1445.72 1962.25,1445.72 1962.27,1445.72 1962.3,1445.72 1962.32,1445.72 1962.35,1445.72 1962.37,1445.72 \n",
+ " 1962.4,1445.72 1962.43,1445.72 1962.45,1445.72 1962.48,1445.72 1962.5,1445.72 1962.53,1445.72 1962.55,1445.72 1962.58,1445.72 1962.61,1445.72 1962.63,1445.72 \n",
+ " 1962.66,1445.72 1962.68,1445.72 1962.71,1445.72 1962.73,1445.72 1962.76,1445.72 1962.79,1445.72 1962.81,1445.72 1962.84,1445.72 1962.86,1445.72 1962.89,1445.72 \n",
+ " 1962.91,1445.72 1962.94,1445.72 1962.97,1445.72 1962.99,1445.72 1963.02,1445.72 1963.04,1445.72 1963.07,1445.72 1963.09,1445.72 1963.12,1445.72 1963.15,1445.72 \n",
+ " 1963.17,1445.72 1963.2,1445.72 1963.22,1445.72 1963.25,1445.72 1963.27,1445.72 1963.3,1445.72 1963.32,1445.72 1963.35,1445.72 1963.38,1445.72 1963.4,1445.72 \n",
+ " 1963.43,1445.72 1963.45,1445.72 1963.48,1445.72 1963.5,1445.72 1963.53,1445.72 1963.56,1445.72 1963.58,1445.72 1963.61,1445.72 1963.63,1445.72 1963.66,1445.72 \n",
+ " 1963.68,1445.72 1963.71,1445.72 1963.74,1445.72 1963.76,1445.72 1963.79,1445.72 1963.81,1445.72 1963.84,1445.72 1963.86,1445.72 1963.89,1445.72 1963.92,1445.72 \n",
+ " 1963.94,1445.72 1963.97,1445.72 1963.99,1445.72 1964.02,1445.72 1964.04,1445.72 1964.07,1445.72 1964.1,1445.72 1964.12,1445.72 1964.15,1445.72 1964.17,1445.72 \n",
+ " 1964.2,1445.72 1964.22,1445.72 1964.25,1445.72 1964.28,1445.72 1964.3,1445.72 1964.33,1445.72 1964.35,1445.72 1964.38,1445.72 1964.4,1445.72 1964.43,1445.72 \n",
+ " 1964.45,1445.72 1964.48,1445.72 1964.51,1445.72 1964.53,1445.72 1964.56,1445.72 1964.58,1445.72 1964.61,1445.72 1964.63,1445.72 1964.66,1445.72 1964.69,1445.72 \n",
+ " 1964.71,1445.72 1964.74,1445.72 1964.76,1445.72 1964.79,1445.72 1964.81,1445.72 1964.84,1445.72 1964.87,1445.72 1964.89,1445.72 1964.92,1445.72 1964.94,1445.72 \n",
+ " 1964.97,1445.72 1964.99,1445.72 1965.02,1445.72 1965.05,1445.72 1965.07,1445.72 1965.1,1445.72 1965.12,1445.72 1965.15,1445.72 1965.17,1445.72 1965.2,1445.72 \n",
+ " 1965.23,1445.72 1965.25,1445.72 1965.28,1445.72 1965.3,1445.72 1965.33,1445.72 1965.35,1445.72 1965.38,1445.72 1965.41,1445.72 1965.43,1445.72 1965.46,1445.72 \n",
+ " 1965.48,1445.72 1965.51,1445.72 1965.53,1445.72 1965.56,1445.72 1965.58,1445.72 1965.61,1445.72 1965.64,1445.72 1965.66,1445.72 1965.69,1445.72 1965.71,1445.72 \n",
+ " 1965.74,1445.72 1965.76,1445.72 1965.79,1445.72 1965.82,1445.72 1965.84,1445.72 1965.87,1445.72 1965.89,1445.72 1965.92,1445.72 1965.94,1445.72 1965.97,1445.72 \n",
+ " 1966,1445.72 1966.02,1445.72 1966.05,1445.72 1966.07,1445.72 1966.1,1445.72 1966.12,1445.72 1966.15,1445.72 1966.18,1445.72 1966.2,1445.72 1966.23,1445.72 \n",
+ " 1966.25,1445.72 1966.28,1445.72 1966.3,1445.72 1966.33,1445.72 1966.36,1445.72 1966.38,1445.72 1966.41,1445.72 1966.43,1445.72 1966.46,1445.72 1966.48,1445.72 \n",
+ " 1966.51,1445.72 1966.54,1445.72 1966.56,1445.72 1966.59,1445.72 1966.61,1445.72 1966.64,1445.72 1966.66,1445.72 1966.69,1445.72 1966.72,1445.72 1966.74,1445.72 \n",
+ " 1966.77,1445.72 1966.79,1445.72 1966.82,1445.72 1966.84,1445.72 1966.87,1445.72 1966.89,1445.72 1966.92,1445.72 1966.95,1445.72 1966.97,1445.72 1967,1445.72 \n",
+ " 1967.02,1445.72 1967.05,1445.72 1967.07,1445.72 1967.1,1445.72 1967.13,1445.72 1967.15,1445.72 1967.18,1445.72 1967.2,1445.72 1967.23,1445.72 1967.25,1445.72 \n",
+ " 1967.28,1445.72 1967.31,1445.72 1967.33,1445.72 1967.36,1445.72 1967.38,1445.72 1967.41,1445.72 1967.43,1445.72 1967.46,1445.72 1967.49,1445.72 1967.51,1445.72 \n",
+ " 1967.54,1445.72 1967.56,1445.72 1967.59,1445.72 1967.61,1445.72 1967.64,1445.72 1967.67,1445.72 1967.69,1445.72 1967.72,1445.72 1967.74,1445.72 1967.77,1445.72 \n",
+ " 1967.79,1445.72 1967.82,1445.72 1967.85,1445.72 1967.87,1445.72 1967.9,1445.72 1967.92,1445.72 1967.95,1445.72 1967.97,1445.72 1968,1445.72 1968.02,1445.72 \n",
+ " 1968.05,1445.72 1968.08,1445.72 1968.1,1445.72 1968.13,1445.72 1968.15,1445.72 1968.18,1445.72 1968.2,1445.72 1968.23,1445.72 1968.26,1445.72 1968.28,1445.72 \n",
+ " 1968.31,1445.72 1968.33,1445.72 1968.36,1445.72 1968.38,1445.72 1968.41,1445.72 1968.44,1445.72 1968.46,1445.72 1968.49,1445.72 1968.51,1445.72 1968.54,1445.72 \n",
+ " 1968.56,1445.72 1968.59,1445.72 1968.62,1445.72 1968.64,1445.72 1968.67,1445.72 1968.69,1445.72 1968.72,1445.72 1968.74,1445.72 1968.77,1445.72 1968.8,1445.72 \n",
+ " 1968.82,1445.72 1968.85,1445.72 1968.87,1445.72 1968.9,1445.72 1968.92,1445.72 1968.95,1445.72 1968.98,1445.72 1969,1445.72 1969.03,1445.72 1969.05,1445.72 \n",
+ " 1969.08,1445.72 1969.1,1445.72 1969.13,1445.72 1969.15,1445.72 1969.18,1445.72 1969.21,1445.72 1969.23,1445.72 1969.26,1445.72 1969.28,1445.72 1969.31,1445.72 \n",
+ " 1969.33,1445.72 1969.36,1445.72 1969.39,1445.72 1969.41,1445.72 1969.44,1445.72 1969.46,1445.72 1969.49,1445.72 1969.51,1445.72 1969.54,1445.72 1969.57,1445.72 \n",
+ " 1969.59,1445.72 1969.62,1445.72 1969.64,1445.72 1969.67,1445.72 1969.69,1445.72 1969.72,1445.72 1969.75,1445.72 1969.77,1445.72 1969.8,1445.72 1969.82,1445.72 \n",
+ " 1969.85,1445.72 1969.87,1445.72 1969.9,1445.72 1969.93,1445.72 1969.95,1445.72 1969.98,1445.72 1970,1445.72 1970.03,1445.72 1970.05,1445.72 1970.08,1445.72 \n",
+ " 1970.11,1445.72 1970.13,1445.72 1970.16,1445.72 1970.18,1445.72 1970.21,1445.72 1970.23,1445.72 1970.26,1445.72 1970.28,1445.72 1970.31,1445.72 1970.34,1445.72 \n",
+ " 1970.36,1445.72 1970.39,1445.72 1970.41,1445.72 1970.44,1445.72 1970.46,1445.72 1970.49,1445.72 1970.52,1445.72 1970.54,1445.72 1970.57,1445.72 1970.59,1445.72 \n",
+ " 1970.62,1445.72 1970.64,1445.72 1970.67,1445.72 1970.7,1445.72 1970.72,1445.72 1970.75,1445.72 1970.77,1445.72 1970.8,1445.72 1970.82,1445.72 1970.85,1445.72 \n",
+ " 1970.88,1445.72 1970.9,1445.72 1970.93,1445.72 1970.95,1445.72 1970.98,1445.72 1971,1445.72 1971.03,1445.72 1971.06,1445.72 1971.08,1445.72 1971.11,1445.72 \n",
+ " 1971.13,1445.72 1971.16,1445.72 1971.18,1445.72 1971.21,1445.72 1971.24,1445.72 1971.26,1445.72 1971.29,1445.72 1971.31,1445.72 1971.34,1445.72 1971.36,1445.72 \n",
+ " 1971.39,1445.72 1971.42,1445.72 1971.44,1445.72 1971.47,1445.72 1971.49,1445.72 1971.52,1445.72 1971.54,1445.72 1971.57,1445.72 1971.59,1445.72 1971.62,1445.72 \n",
+ " 1971.65,1445.72 1971.67,1445.72 1971.7,1445.72 1971.72,1445.72 1971.75,1445.72 1971.77,1445.72 1971.8,1445.72 1971.83,1445.72 1971.85,1445.72 1971.88,1445.72 \n",
+ " 1971.9,1445.72 1971.93,1445.72 1971.95,1445.72 1971.98,1445.72 1972.01,1445.72 1972.03,1445.72 1972.06,1445.72 1972.08,1445.72 1972.11,1445.72 1972.13,1445.72 \n",
+ " 1972.16,1445.72 1972.19,1445.72 1972.21,1445.72 1972.24,1445.72 1972.26,1445.72 1972.29,1445.72 1972.31,1445.72 1972.34,1445.72 1972.37,1445.72 1972.39,1445.72 \n",
+ " 1972.42,1445.72 1972.44,1445.72 1972.47,1445.72 1972.49,1445.72 1972.52,1445.72 1972.55,1445.72 1972.57,1445.72 1972.6,1445.72 1972.62,1445.72 1972.65,1445.72 \n",
+ " 1972.67,1445.72 1972.7,1445.72 1972.72,1445.72 1972.75,1445.72 1972.78,1445.72 1972.8,1445.72 1972.83,1445.72 1972.85,1445.72 1972.88,1445.72 1972.9,1445.72 \n",
+ " 1972.93,1445.72 1972.96,1445.72 1972.98,1445.72 1973.01,1445.72 1973.03,1445.72 1973.06,1445.72 1973.08,1445.72 1973.11,1445.72 1973.14,1445.72 1973.16,1445.72 \n",
+ " 1973.19,1445.72 1973.21,1445.72 1973.24,1445.72 1973.26,1445.72 1973.29,1445.72 1973.32,1445.72 1973.34,1445.72 1973.37,1445.72 1973.39,1445.72 1973.42,1445.72 \n",
+ " 1973.44,1445.72 1973.47,1445.72 1973.5,1445.72 1973.52,1445.72 1973.55,1445.72 1973.57,1445.72 1973.6,1445.72 1973.62,1445.72 1973.65,1445.72 1973.68,1445.72 \n",
+ " 1973.7,1445.72 1973.73,1445.72 1973.75,1445.72 1973.78,1445.72 1973.8,1445.72 1973.83,1445.72 1973.85,1445.72 1973.88,1445.72 1973.91,1445.72 1973.93,1445.72 \n",
+ " 1973.96,1445.72 1973.98,1445.72 1974.01,1445.72 1974.03,1445.72 1974.06,1445.72 1974.09,1445.72 1974.11,1445.72 1974.14,1445.72 1974.16,1445.72 1974.19,1445.72 \n",
+ " 1974.21,1445.72 1974.24,1445.72 1974.27,1445.72 1974.29,1445.72 1974.32,1445.72 1974.34,1445.72 1974.37,1445.72 1974.39,1445.72 1974.42,1445.72 1974.45,1445.72 \n",
+ " 1974.47,1445.72 1974.5,1445.72 1974.52,1445.72 1974.55,1445.72 1974.57,1445.72 1974.6,1445.72 1974.63,1445.72 1974.65,1445.72 1974.68,1445.72 1974.7,1445.72 \n",
+ " 1974.73,1445.72 1974.75,1445.72 1974.78,1445.72 1974.81,1445.72 1974.83,1445.72 1974.86,1445.72 1974.88,1445.72 1974.91,1445.72 1974.93,1445.72 1974.96,1445.72 \n",
+ " 1974.98,1445.72 1975.01,1445.72 1975.04,1445.72 1975.06,1445.72 1975.09,1445.72 1975.11,1445.72 1975.14,1445.72 1975.16,1445.72 1975.19,1445.72 1975.22,1445.72 \n",
+ " 1975.24,1445.72 1975.27,1445.72 1975.29,1445.72 1975.32,1445.72 1975.34,1445.72 1975.37,1445.72 1975.4,1445.72 1975.42,1445.72 1975.45,1445.72 1975.47,1445.72 \n",
+ " 1975.5,1445.72 1975.52,1445.72 1975.55,1445.72 1975.58,1445.72 1975.6,1445.72 1975.63,1445.72 1975.65,1445.72 1975.68,1445.72 1975.7,1445.72 1975.73,1445.72 \n",
+ " 1975.76,1445.72 1975.78,1445.72 1975.81,1445.72 1975.83,1445.72 1975.86,1445.72 1975.88,1445.72 1975.91,1445.72 1975.94,1445.72 1975.96,1445.72 1975.99,1445.72 \n",
+ " 1976.01,1445.72 1976.04,1445.72 1976.06,1445.72 1976.09,1445.72 1976.12,1445.72 1976.14,1445.72 1976.17,1445.72 1976.19,1445.72 1976.22,1445.72 1976.24,1445.72 \n",
+ " 1976.27,1445.72 1976.29,1445.72 1976.32,1445.72 1976.35,1445.72 1976.37,1445.72 1976.4,1445.72 1976.42,1445.72 1976.45,1445.72 1976.47,1445.72 1976.5,1445.72 \n",
+ " 1976.53,1445.72 1976.55,1445.72 1976.58,1445.72 1976.6,1445.72 1976.63,1445.72 1976.65,1445.72 1976.68,1445.72 1976.71,1445.72 1976.73,1445.72 1976.76,1445.72 \n",
+ " 1976.78,1445.72 1976.81,1445.72 1976.83,1445.72 1976.86,1445.72 1976.89,1445.72 1976.91,1445.72 1976.94,1445.72 1976.96,1445.72 1976.99,1445.72 1977.01,1445.72 \n",
+ " 1977.04,1445.72 1977.07,1445.72 1977.09,1445.72 1977.12,1445.72 1977.14,1445.72 1977.17,1445.72 1977.19,1445.72 1977.22,1445.72 1977.25,1445.72 1977.27,1445.72 \n",
+ " 1977.3,1445.72 1977.32,1445.72 1977.35,1445.72 1977.37,1445.72 1977.4,1445.72 1977.42,1445.72 1977.45,1445.72 1977.48,1445.72 1977.5,1445.72 1977.53,1445.72 \n",
+ " 1977.55,1445.72 1977.58,1445.72 1977.6,1445.72 1977.63,1445.72 1977.66,1445.72 1977.68,1445.72 1977.71,1445.72 1977.73,1445.72 1977.76,1445.72 1977.78,1445.72 \n",
+ " 1977.81,1445.72 1977.84,1445.72 1977.86,1445.72 1977.89,1445.72 1977.91,1445.72 1977.94,1445.72 1977.96,1445.72 1977.99,1445.72 1978.02,1445.72 1978.04,1445.72 \n",
+ " 1978.07,1445.72 1978.09,1445.72 1978.12,1445.72 1978.14,1445.72 1978.17,1445.72 1978.2,1445.72 1978.22,1445.72 1978.25,1445.72 1978.27,1445.72 1978.3,1445.72 \n",
+ " 1978.32,1445.72 1978.35,1445.72 1978.38,1445.72 1978.4,1445.72 1978.43,1445.72 1978.45,1445.72 1978.48,1445.72 1978.5,1445.72 1978.53,1445.72 1978.55,1445.72 \n",
+ " 1978.58,1445.72 1978.61,1445.72 1978.63,1445.72 1978.66,1445.72 1978.68,1445.72 1978.71,1445.72 1978.73,1445.72 1978.76,1445.72 1978.79,1445.72 1978.81,1445.72 \n",
+ " 1978.84,1445.72 1978.86,1445.72 1978.89,1445.72 1978.91,1445.72 1978.94,1445.72 1978.97,1445.72 1978.99,1445.72 1979.02,1445.72 1979.04,1445.72 1979.07,1445.72 \n",
+ " 1979.09,1445.72 1979.12,1445.72 1979.15,1445.72 1979.17,1445.72 1979.2,1445.72 1979.22,1445.72 1979.25,1445.72 1979.27,1445.72 1979.3,1445.72 1979.33,1445.72 \n",
+ " 1979.35,1445.72 1979.38,1445.72 1979.4,1445.72 1979.43,1445.72 1979.45,1445.72 1979.48,1445.72 1979.51,1445.72 1979.53,1445.72 1979.56,1445.72 1979.58,1445.72 \n",
+ " 1979.61,1445.72 1979.63,1445.72 1979.66,1445.72 1979.68,1445.72 1979.71,1445.72 1979.74,1445.72 1979.76,1445.72 1979.79,1445.72 1979.81,1445.72 1979.84,1445.72 \n",
+ " 1979.86,1445.72 1979.89,1445.72 1979.92,1445.72 1979.94,1445.72 1979.97,1445.72 1979.99,1445.72 1980.02,1445.72 1980.04,1445.72 1980.07,1445.72 1980.1,1445.72 \n",
+ " 1980.12,1445.72 1980.15,1445.72 1980.17,1445.72 1980.2,1445.72 1980.22,1445.72 1980.25,1445.72 1980.28,1445.72 1980.3,1445.72 1980.33,1445.72 1980.35,1445.72 \n",
+ " 1980.38,1445.72 1980.4,1445.72 1980.43,1445.72 1980.46,1445.72 1980.48,1445.72 1980.51,1445.72 1980.53,1445.72 1980.56,1445.72 1980.58,1445.72 1980.61,1445.72 \n",
+ " 1980.64,1445.72 1980.66,1445.72 1980.69,1445.72 1980.71,1445.72 1980.74,1445.72 1980.76,1445.72 1980.79,1445.72 1980.82,1445.72 1980.84,1445.72 1980.87,1445.72 \n",
+ " 1980.89,1445.72 1980.92,1445.72 1980.94,1445.72 1980.97,1445.72 1980.99,1445.72 1981.02,1445.72 1981.05,1445.72 1981.07,1445.72 1981.1,1445.72 1981.12,1445.72 \n",
+ " 1981.15,1445.72 1981.17,1445.72 1981.2,1445.72 1981.23,1445.72 1981.25,1445.72 1981.28,1445.72 1981.3,1445.72 1981.33,1445.72 1981.35,1445.72 1981.38,1445.72 \n",
+ " 1981.41,1445.72 1981.43,1445.72 1981.46,1445.72 1981.48,1445.72 1981.51,1445.72 1981.53,1445.72 1981.56,1445.72 1981.59,1445.72 1981.61,1445.72 1981.64,1445.72 \n",
+ " 1981.66,1445.72 1981.69,1445.72 1981.71,1445.72 1981.74,1445.72 1981.77,1445.72 1981.79,1445.72 1981.82,1445.72 1981.84,1445.72 1981.87,1445.72 1981.89,1445.72 \n",
+ " 1981.92,1445.72 1981.95,1445.72 1981.97,1445.72 1982,1445.72 1982.02,1445.72 1982.05,1445.72 1982.07,1445.72 1982.1,1445.72 1982.12,1445.72 1982.15,1445.72 \n",
+ " 1982.18,1445.72 1982.2,1445.72 1982.23,1445.72 1982.25,1445.72 1982.28,1445.72 1982.3,1445.72 1982.33,1445.72 1982.36,1445.72 1982.38,1445.72 1982.41,1445.72 \n",
+ " 1982.43,1445.72 1982.46,1445.72 1982.48,1445.72 1982.51,1445.72 1982.54,1445.72 1982.56,1445.72 1982.59,1445.72 1982.61,1445.72 1982.64,1445.72 1982.66,1445.72 \n",
+ " 1982.69,1445.72 1982.72,1445.72 1982.74,1445.72 1982.77,1445.72 1982.79,1445.72 1982.82,1445.72 1982.84,1445.72 1982.87,1445.72 1982.9,1445.72 1982.92,1445.72 \n",
+ " 1982.95,1445.72 1982.97,1445.72 1983,1445.72 1983.02,1445.72 1983.05,1445.72 1983.08,1445.72 1983.1,1445.72 1983.13,1445.72 1983.15,1445.72 1983.18,1445.72 \n",
+ " 1983.2,1445.72 1983.23,1445.72 1983.25,1445.72 1983.28,1445.72 1983.31,1445.72 1983.33,1445.72 1983.36,1445.72 1983.38,1445.72 1983.41,1445.72 1983.43,1445.72 \n",
+ " 1983.46,1445.72 1983.49,1445.72 1983.51,1445.72 1983.54,1445.72 1983.56,1445.72 1983.59,1445.72 1983.61,1445.72 1983.64,1445.72 1983.67,1445.72 1983.69,1445.72 \n",
+ " 1983.72,1445.72 1983.74,1445.72 1983.77,1445.72 1983.79,1445.72 1983.82,1445.72 1983.85,1445.72 1983.87,1445.72 1983.9,1445.72 1983.92,1445.72 1983.95,1445.72 \n",
+ " 1983.97,1445.72 1984,1445.72 1984.03,1445.72 1984.05,1445.72 1984.08,1445.72 1984.1,1445.72 1984.13,1445.72 1984.15,1445.72 1984.18,1445.72 1984.21,1445.72 \n",
+ " 1984.23,1445.72 1984.26,1445.72 1984.28,1445.72 1984.31,1445.72 1984.33,1445.72 1984.36,1445.72 1984.38,1445.72 1984.41,1445.72 1984.44,1445.72 1984.46,1445.72 \n",
+ " 1984.49,1445.72 1984.51,1445.72 1984.54,1445.72 1984.56,1445.72 1984.59,1445.72 1984.62,1445.72 1984.64,1445.72 1984.67,1445.72 1984.69,1445.72 1984.72,1445.72 \n",
+ " 1984.74,1445.72 1984.77,1445.72 1984.8,1445.72 1984.82,1445.72 1984.85,1445.72 1984.87,1445.72 1984.9,1445.72 1984.92,1445.72 1984.95,1445.72 1984.98,1445.72 \n",
+ " 1985,1445.72 1985.03,1445.72 1985.05,1445.72 1985.08,1445.72 1985.1,1445.72 1985.13,1445.72 1985.16,1445.72 1985.18,1445.72 1985.21,1445.72 1985.23,1445.72 \n",
+ " 1985.26,1445.72 1985.28,1445.72 1985.31,1445.72 1985.34,1445.72 1985.36,1445.72 1985.39,1445.72 1985.41,1445.72 1985.44,1445.72 1985.46,1445.72 1985.49,1445.72 \n",
+ " 1985.52,1445.72 1985.54,1445.72 1985.57,1445.72 1985.59,1445.72 1985.62,1445.72 1985.64,1445.72 1985.67,1445.72 1985.69,1445.72 1985.72,1445.72 1985.75,1445.72 \n",
+ " 1985.77,1445.72 1985.8,1445.72 1985.82,1445.72 1985.85,1445.72 1985.87,1445.72 1985.9,1445.72 1985.93,1445.72 1985.95,1445.72 1985.98,1445.72 1986,1445.72 \n",
+ " 1986.03,1445.72 1986.05,1445.72 1986.08,1445.72 1986.11,1445.72 1986.13,1445.72 1986.16,1445.72 1986.18,1445.72 1986.21,1445.72 1986.23,1445.72 1986.26,1445.72 \n",
+ " 1986.29,1445.72 1986.31,1445.72 1986.34,1445.72 1986.36,1445.72 1986.39,1445.72 1986.41,1445.72 1986.44,1445.72 1986.47,1445.72 1986.49,1445.72 1986.52,1445.72 \n",
+ " 1986.54,1445.72 1986.57,1445.72 1986.59,1445.72 1986.62,1445.72 1986.65,1445.72 1986.67,1445.72 1986.7,1445.72 1986.72,1445.72 1986.75,1445.72 1986.77,1445.72 \n",
+ " 1986.8,1445.72 1986.82,1445.72 1986.85,1445.72 1986.88,1445.72 1986.9,1445.72 1986.93,1445.72 1986.95,1445.72 1986.98,1445.72 1987,1445.72 1987.03,1445.72 \n",
+ " 1987.06,1445.72 1987.08,1445.72 1987.11,1445.72 1987.13,1445.72 1987.16,1445.72 1987.18,1445.72 1987.21,1445.72 1987.24,1445.72 1987.26,1445.72 1987.29,1445.72 \n",
+ " 1987.31,1445.72 1987.34,1445.72 1987.36,1445.72 1987.39,1445.72 1987.42,1445.72 1987.44,1445.72 1987.47,1445.72 1987.49,1445.72 1987.52,1445.72 1987.54,1445.72 \n",
+ " 1987.57,1445.72 1987.6,1445.72 1987.62,1445.72 1987.65,1445.72 1987.67,1445.72 1987.7,1445.72 1987.72,1445.72 1987.75,1445.72 1987.78,1445.72 1987.8,1445.72 \n",
+ " 1987.83,1445.72 1987.85,1445.72 1987.88,1445.72 1987.9,1445.72 1987.93,1445.72 1987.95,1445.72 1987.98,1445.72 1988.01,1445.72 1988.03,1445.72 1988.06,1445.72 \n",
+ " 1988.08,1445.72 1988.11,1445.72 1988.13,1445.72 1988.16,1445.72 1988.19,1445.72 1988.21,1445.72 1988.24,1445.72 1988.26,1445.72 1988.29,1445.72 1988.31,1445.72 \n",
+ " 1988.34,1445.72 1988.37,1445.72 1988.39,1445.72 1988.42,1445.72 1988.44,1445.72 1988.47,1445.72 1988.49,1445.72 1988.52,1445.72 1988.55,1445.72 1988.57,1445.72 \n",
+ " 1988.6,1445.72 1988.62,1445.72 1988.65,1445.72 1988.67,1445.72 1988.7,1445.72 1988.73,1445.72 1988.75,1445.72 1988.78,1445.72 1988.8,1445.72 1988.83,1445.72 \n",
+ " 1988.85,1445.72 1988.88,1445.72 1988.91,1445.72 1988.93,1445.72 1988.96,1445.72 1988.98,1445.72 1989.01,1445.72 1989.03,1445.72 1989.06,1445.72 1989.08,1445.72 \n",
+ " 1989.11,1445.72 1989.14,1445.72 1989.16,1445.72 1989.19,1445.72 1989.21,1445.72 1989.24,1445.72 1989.26,1445.72 1989.29,1445.72 1989.32,1445.72 1989.34,1445.72 \n",
+ " 1989.37,1445.72 1989.39,1445.72 1989.42,1445.72 1989.44,1445.72 1989.47,1445.72 1989.5,1445.72 1989.52,1445.72 1989.55,1445.72 1989.57,1445.72 1989.6,1445.72 \n",
+ " 1989.62,1445.72 1989.65,1445.72 1989.68,1445.72 1989.7,1445.72 1989.73,1445.72 1989.75,1445.72 1989.78,1445.72 1989.8,1445.72 1989.83,1445.72 1989.86,1445.72 \n",
+ " 1989.88,1445.72 1989.91,1445.72 1989.93,1445.72 1989.96,1445.72 1989.98,1445.72 1990.01,1445.72 1990.04,1445.72 1990.06,1445.72 1990.09,1445.72 1990.11,1445.72 \n",
+ " 1990.14,1445.72 1990.16,1445.72 1990.19,1445.72 1990.21,1445.72 1990.24,1445.72 1990.27,1445.72 1990.29,1445.72 1990.32,1445.72 1990.34,1445.72 1990.37,1445.72 \n",
+ " 1990.39,1445.72 1990.42,1445.72 1990.45,1445.72 1990.47,1445.72 1990.5,1445.72 1990.52,1445.72 1990.55,1445.72 1990.57,1445.72 1990.6,1445.72 1990.63,1445.72 \n",
+ " 1990.65,1445.72 1990.68,1445.72 1990.7,1445.72 1990.73,1445.72 1990.75,1445.72 1990.78,1445.72 1990.81,1445.72 1990.83,1445.72 1990.86,1445.72 1990.88,1445.72 \n",
+ " 1990.91,1445.72 1990.93,1445.72 1990.96,1445.72 1990.99,1445.72 1991.01,1445.72 1991.04,1445.72 1991.06,1445.72 1991.09,1445.72 1991.11,1445.72 1991.14,1445.72 \n",
+ " 1991.17,1445.72 1991.19,1445.72 1991.22,1445.72 1991.24,1445.72 1991.27,1445.72 1991.29,1445.72 1991.32,1445.72 1991.35,1445.72 1991.37,1445.72 1991.4,1445.72 \n",
+ " 1991.42,1445.72 1991.45,1445.72 1991.47,1445.72 1991.5,1445.72 1991.52,1445.72 1991.55,1445.72 1991.58,1445.72 1991.6,1445.72 1991.63,1445.72 1991.65,1445.72 \n",
+ " 1991.68,1445.72 1991.7,1445.72 1991.73,1445.72 1991.76,1445.72 1991.78,1445.72 1991.81,1445.72 1991.83,1445.72 1991.86,1445.72 1991.88,1445.72 1991.91,1445.72 \n",
+ " 1991.94,1445.72 1991.96,1445.72 1991.99,1445.72 1992.01,1445.72 1992.04,1445.72 1992.06,1445.72 1992.09,1445.72 1992.12,1445.72 1992.14,1445.72 1992.17,1445.72 \n",
+ " 1992.19,1445.72 1992.22,1445.72 1992.24,1445.72 1992.27,1445.72 1992.3,1445.72 1992.32,1445.72 1992.35,1445.72 1992.37,1445.72 1992.4,1445.72 1992.42,1445.72 \n",
+ " 1992.45,1445.72 1992.48,1445.72 1992.5,1445.72 1992.53,1445.72 1992.55,1445.72 1992.58,1445.72 1992.6,1445.72 1992.63,1445.72 1992.65,1445.72 1992.68,1445.72 \n",
+ " 1992.71,1445.72 1992.73,1445.72 1992.76,1445.72 1992.78,1445.72 1992.81,1445.72 1992.83,1445.72 1992.86,1445.72 1992.89,1445.72 1992.91,1445.72 1992.94,1445.72 \n",
+ " 1992.96,1445.72 1992.99,1445.72 1993.01,1445.72 1993.04,1445.72 1993.07,1445.72 1993.09,1445.72 1993.12,1445.72 1993.14,1445.72 1993.17,1445.72 1993.19,1445.72 \n",
+ " 1993.22,1445.72 1993.25,1445.72 1993.27,1445.72 1993.3,1445.72 1993.32,1445.72 1993.35,1445.72 1993.37,1445.72 1993.4,1445.72 1993.43,1445.72 1993.45,1445.72 \n",
+ " 1993.48,1445.72 1993.5,1445.72 1993.53,1445.72 1993.55,1445.72 1993.58,1445.72 1993.61,1445.72 1993.63,1445.72 1993.66,1445.72 1993.68,1445.72 1993.71,1445.72 \n",
+ " 1993.73,1445.72 1993.76,1445.72 1993.78,1445.72 1993.81,1445.72 1993.84,1445.72 1993.86,1445.72 1993.89,1445.72 1993.91,1445.72 1993.94,1445.72 1993.96,1445.72 \n",
+ " 1993.99,1445.72 1994.02,1445.72 1994.04,1445.72 1994.07,1445.72 1994.09,1445.72 1994.12,1445.72 1994.14,1445.72 1994.17,1445.72 1994.2,1445.72 1994.22,1445.72 \n",
+ " 1994.25,1445.72 1994.27,1445.72 1994.3,1445.72 1994.32,1445.72 1994.35,1445.72 1994.38,1445.72 1994.4,1445.72 1994.43,1445.72 1994.45,1445.72 1994.48,1445.72 \n",
+ " 1994.5,1445.72 1994.53,1445.72 1994.56,1445.72 1994.58,1445.72 1994.61,1445.72 1994.63,1445.72 1994.66,1445.72 1994.68,1445.72 1994.71,1445.72 1994.74,1445.72 \n",
+ " 1994.76,1445.72 1994.79,1445.72 1994.81,1445.72 1994.84,1445.72 1994.86,1445.72 1994.89,1445.72 1994.91,1445.72 1994.94,1445.72 1994.97,1445.72 1994.99,1445.72 \n",
+ " 1995.02,1445.72 1995.04,1445.72 1995.07,1445.72 1995.09,1445.72 1995.12,1445.72 1995.15,1445.72 1995.17,1445.72 1995.2,1445.72 1995.22,1445.72 1995.25,1445.72 \n",
+ " 1995.27,1445.72 1995.3,1445.72 1995.33,1445.72 1995.35,1445.72 1995.38,1445.72 1995.4,1445.72 1995.43,1445.72 1995.45,1445.72 1995.48,1445.72 1995.51,1445.72 \n",
+ " 1995.53,1445.72 1995.56,1445.72 1995.58,1445.72 1995.61,1445.72 1995.63,1445.72 1995.66,1445.72 1995.69,1445.72 1995.71,1445.72 1995.74,1445.72 1995.76,1445.72 \n",
+ " 1995.79,1445.72 1995.81,1445.72 1995.84,1445.72 1995.87,1445.72 1995.89,1445.72 1995.92,1445.72 1995.94,1445.72 1995.97,1445.72 1995.99,1445.72 1996.02,1445.72 \n",
+ " 1996.05,1445.72 1996.07,1445.72 1996.1,1445.72 1996.12,1445.72 1996.15,1445.72 1996.17,1445.72 1996.2,1445.72 1996.22,1445.72 1996.25,1445.72 1996.28,1445.72 \n",
+ " 1996.3,1445.72 1996.33,1445.72 1996.35,1445.72 1996.38,1445.72 1996.4,1445.72 1996.43,1445.72 1996.46,1445.72 1996.48,1445.72 1996.51,1445.72 1996.53,1445.72 \n",
+ " 1996.56,1445.72 1996.58,1445.72 1996.61,1445.72 1996.64,1445.72 1996.66,1445.72 1996.69,1445.72 1996.71,1445.72 1996.74,1445.72 1996.76,1445.72 1996.79,1445.72 \n",
+ " 1996.82,1445.72 1996.84,1445.72 1996.87,1445.72 1996.89,1445.72 1996.92,1445.72 1996.94,1445.72 1996.97,1445.72 1997,1445.72 1997.02,1445.72 1997.05,1445.72 \n",
+ " 1997.07,1445.72 1997.1,1445.72 1997.12,1445.72 1997.15,1445.72 1997.18,1445.72 1997.2,1445.72 1997.23,1445.72 1997.25,1445.72 1997.28,1445.72 1997.3,1445.72 \n",
+ " 1997.33,1445.72 1997.35,1445.72 1997.38,1445.72 1997.41,1445.72 1997.43,1445.72 1997.46,1445.72 1997.48,1445.72 1997.51,1445.72 1997.53,1445.72 1997.56,1445.72 \n",
+ " 1997.59,1445.72 1997.61,1445.72 1997.64,1445.72 1997.66,1445.72 1997.69,1445.72 1997.71,1445.72 1997.74,1445.72 1997.77,1445.72 1997.79,1445.72 1997.82,1445.72 \n",
+ " 1997.84,1445.72 1997.87,1445.72 1997.89,1445.72 1997.92,1445.72 1997.95,1445.72 1997.97,1445.72 1998,1445.72 1998.02,1445.72 1998.05,1445.72 1998.07,1445.72 \n",
+ " 1998.1,1445.72 1998.13,1445.72 1998.15,1445.72 1998.18,1445.72 1998.2,1445.72 1998.23,1445.72 1998.25,1445.72 1998.28,1445.72 1998.31,1445.72 1998.33,1445.72 \n",
+ " 1998.36,1445.72 1998.38,1445.72 1998.41,1445.72 1998.43,1445.72 1998.46,1445.72 1998.48,1445.72 1998.51,1445.72 1998.54,1445.72 1998.56,1445.72 1998.59,1445.72 \n",
+ " 1998.61,1445.72 1998.64,1445.72 1998.66,1445.72 1998.69,1445.72 1998.72,1445.72 1998.74,1445.72 1998.77,1445.72 1998.79,1445.72 1998.82,1445.72 1998.84,1445.72 \n",
+ " 1998.87,1445.72 1998.9,1445.72 1998.92,1445.72 1998.95,1445.72 1998.97,1445.72 1999,1445.72 1999.02,1445.72 1999.05,1445.72 1999.08,1445.72 1999.1,1445.72 \n",
+ " 1999.13,1445.72 1999.15,1445.72 1999.18,1445.72 1999.2,1445.72 1999.23,1445.72 1999.26,1445.72 1999.28,1445.72 1999.31,1445.72 1999.33,1445.72 1999.36,1445.72 \n",
+ " 1999.38,1445.72 1999.41,1445.72 1999.44,1445.72 1999.46,1445.72 1999.49,1445.72 1999.51,1445.72 1999.54,1445.72 1999.56,1445.72 1999.59,1445.72 1999.61,1445.72 \n",
+ " 1999.64,1445.72 1999.67,1445.72 1999.69,1445.72 1999.72,1445.72 1999.74,1445.72 1999.77,1445.72 1999.79,1445.72 1999.82,1445.72 1999.85,1445.72 1999.87,1445.72 \n",
+ " 1999.9,1445.72 1999.92,1445.72 1999.95,1445.72 1999.97,1445.72 2000,1445.72 2000.03,1445.72 2000.05,1445.72 2000.08,1445.72 2000.1,1445.72 2000.13,1445.72 \n",
+ " 2000.15,1445.72 2000.18,1445.72 2000.21,1445.72 2000.23,1445.72 2000.26,1445.72 2000.28,1445.72 2000.31,1445.72 2000.33,1445.72 2000.36,1445.72 2000.39,1445.72 \n",
+ " 2000.41,1445.72 2000.44,1445.72 2000.46,1445.72 2000.49,1445.72 2000.51,1445.72 2000.54,1445.72 2000.57,1445.72 2000.59,1445.72 2000.62,1445.72 2000.64,1445.72 \n",
+ " 2000.67,1445.72 2000.69,1445.72 2000.72,1445.72 2000.75,1445.72 2000.77,1445.72 2000.8,1445.72 2000.82,1445.72 2000.85,1445.72 2000.87,1445.72 2000.9,1445.72 \n",
+ " 2000.92,1445.72 2000.95,1445.72 2000.98,1445.72 2001,1445.72 2001.03,1445.72 2001.05,1445.72 2001.08,1445.72 2001.1,1445.72 2001.13,1445.72 2001.16,1445.72 \n",
+ " 2001.18,1445.72 2001.21,1445.72 2001.23,1445.72 2001.26,1445.72 2001.28,1445.72 2001.31,1445.72 2001.34,1445.72 2001.36,1445.72 2001.39,1445.72 2001.41,1445.72 \n",
+ " 2001.44,1445.72 2001.46,1445.72 2001.49,1445.72 2001.52,1445.72 2001.54,1445.72 2001.57,1445.72 2001.59,1445.72 2001.62,1445.72 2001.64,1445.72 2001.67,1445.72 \n",
+ " 2001.7,1445.72 2001.72,1445.72 2001.75,1445.72 2001.77,1445.72 2001.8,1445.72 2001.82,1445.72 2001.85,1445.72 2001.88,1445.72 2001.9,1445.72 2001.93,1445.72 \n",
+ " 2001.95,1445.72 2001.98,1445.72 2002,1445.72 2002.03,1445.72 2002.05,1445.72 2002.08,1445.72 2002.11,1445.72 2002.13,1445.72 2002.16,1445.72 2002.18,1445.72 \n",
+ " 2002.21,1445.72 2002.23,1445.72 2002.26,1445.72 2002.29,1445.72 2002.31,1445.72 2002.34,1445.72 2002.36,1445.72 2002.39,1445.72 2002.41,1445.72 2002.44,1445.72 \n",
+ " 2002.47,1445.72 2002.49,1445.72 2002.52,1445.72 2002.54,1445.72 2002.57,1445.72 2002.59,1445.72 2002.62,1445.72 2002.65,1445.72 2002.67,1445.72 2002.7,1445.72 \n",
+ " 2002.72,1445.72 2002.75,1445.72 2002.77,1445.72 2002.8,1445.72 2002.83,1445.72 2002.85,1445.72 2002.88,1445.72 2002.9,1445.72 2002.93,1445.72 2002.95,1445.72 \n",
+ " 2002.98,1445.72 2003.01,1445.72 2003.03,1445.72 2003.06,1445.72 2003.08,1445.72 2003.11,1445.72 2003.13,1445.72 2003.16,1445.72 2003.18,1445.72 2003.21,1445.72 \n",
+ " 2003.24,1445.72 2003.26,1445.72 2003.29,1445.72 2003.31,1445.72 2003.34,1445.72 2003.36,1445.72 2003.39,1445.72 2003.42,1445.72 2003.44,1445.72 2003.47,1445.72 \n",
+ " 2003.49,1445.72 2003.52,1445.72 2003.54,1445.72 2003.57,1445.72 2003.6,1445.72 2003.62,1445.72 2003.65,1445.72 2003.67,1445.72 2003.7,1445.72 2003.72,1445.72 \n",
+ " 2003.75,1445.72 2003.78,1445.72 2003.8,1445.72 2003.83,1445.72 2003.85,1445.72 2003.88,1445.72 2003.9,1445.72 2003.93,1445.72 2003.96,1445.72 2003.98,1445.72 \n",
+ " 2004.01,1445.72 2004.03,1445.72 2004.06,1445.72 2004.08,1445.72 2004.11,1445.72 2004.14,1445.72 2004.16,1445.72 2004.19,1445.72 2004.21,1445.72 2004.24,1445.72 \n",
+ " 2004.26,1445.72 2004.29,1445.72 2004.31,1445.72 2004.34,1445.72 2004.37,1445.72 2004.39,1445.72 2004.42,1445.72 2004.44,1445.72 2004.47,1445.72 2004.49,1445.72 \n",
+ " 2004.52,1445.72 2004.55,1445.72 2004.57,1445.72 2004.6,1445.72 2004.62,1445.72 2004.65,1445.72 2004.67,1445.72 2004.7,1445.72 2004.73,1445.72 2004.75,1445.72 \n",
+ " 2004.78,1445.72 2004.8,1445.72 2004.83,1445.72 2004.85,1445.72 2004.88,1445.72 2004.91,1445.72 2004.93,1445.72 2004.96,1445.72 2004.98,1445.72 2005.01,1445.72 \n",
+ " 2005.03,1445.72 2005.06,1445.72 2005.09,1445.72 2005.11,1445.72 2005.14,1445.72 2005.16,1445.72 2005.19,1445.72 2005.21,1445.72 2005.24,1445.72 2005.27,1445.72 \n",
+ " 2005.29,1445.72 2005.32,1445.72 2005.34,1445.72 2005.37,1445.72 2005.39,1445.72 2005.42,1445.72 2005.45,1445.72 2005.47,1445.72 2005.5,1445.72 2005.52,1445.72 \n",
+ " 2005.55,1445.72 2005.57,1445.72 2005.6,1445.72 2005.62,1445.72 2005.65,1445.72 2005.68,1445.72 2005.7,1445.72 2005.73,1445.72 2005.75,1445.72 2005.78,1445.72 \n",
+ " 2005.8,1445.72 2005.83,1445.72 2005.86,1445.72 2005.88,1445.72 2005.91,1445.72 2005.93,1445.72 2005.96,1445.72 2005.98,1445.72 2006.01,1445.72 2006.04,1445.72 \n",
+ " 2006.06,1445.72 2006.09,1445.72 2006.11,1445.72 2006.14,1445.72 2006.16,1445.72 2006.19,1445.72 2006.22,1445.72 2006.24,1445.72 2006.27,1445.72 2006.29,1445.72 \n",
+ " 2006.32,1445.72 2006.34,1445.72 2006.37,1445.72 2006.4,1445.72 2006.42,1445.72 2006.45,1445.72 2006.47,1445.72 2006.5,1445.72 2006.52,1445.72 2006.55,1445.72 \n",
+ " 2006.58,1445.72 2006.6,1445.72 2006.63,1445.72 2006.65,1445.72 2006.68,1445.72 2006.7,1445.72 2006.73,1445.72 2006.75,1445.72 2006.78,1445.72 2006.81,1445.72 \n",
+ " 2006.83,1445.72 2006.86,1445.72 2006.88,1445.72 2006.91,1445.72 2006.93,1445.72 2006.96,1445.72 2006.99,1445.72 2007.01,1445.72 2007.04,1445.72 2007.06,1445.72 \n",
+ " 2007.09,1445.72 2007.11,1445.72 2007.14,1445.72 2007.17,1445.72 2007.19,1445.72 2007.22,1445.72 2007.24,1445.72 2007.27,1445.72 2007.29,1445.72 2007.32,1445.72 \n",
+ " 2007.35,1445.72 2007.37,1445.72 2007.4,1445.72 2007.42,1445.72 2007.45,1445.72 2007.47,1445.72 2007.5,1445.72 2007.53,1445.72 2007.55,1445.72 2007.58,1445.72 \n",
+ " 2007.6,1445.72 2007.63,1445.72 2007.65,1445.72 2007.68,1445.72 2007.71,1445.72 2007.73,1445.72 2007.76,1445.72 2007.78,1445.72 2007.81,1445.72 2007.83,1445.72 \n",
+ " 2007.86,1445.72 2007.88,1445.72 2007.91,1445.72 2007.94,1445.72 2007.96,1445.72 2007.99,1445.72 2008.01,1445.72 2008.04,1445.72 2008.06,1445.72 2008.09,1445.72 \n",
+ " 2008.12,1445.72 2008.14,1445.72 2008.17,1445.72 2008.19,1445.72 2008.22,1445.72 2008.24,1445.72 2008.27,1445.72 2008.3,1445.72 2008.32,1445.72 2008.35,1445.72 \n",
+ " 2008.37,1445.72 2008.4,1445.72 2008.42,1445.72 2008.45,1445.72 2008.48,1445.72 2008.5,1445.72 2008.53,1445.72 2008.55,1445.72 2008.58,1445.72 2008.6,1445.72 \n",
+ " 2008.63,1445.72 2008.66,1445.72 2008.68,1445.72 2008.71,1445.72 2008.73,1445.72 2008.76,1445.72 2008.78,1445.72 2008.81,1445.72 2008.84,1445.72 2008.86,1445.72 \n",
+ " 2008.89,1445.72 2008.91,1445.72 2008.94,1445.72 2008.96,1445.72 2008.99,1445.72 2009.01,1445.72 2009.04,1445.72 2009.07,1445.72 2009.09,1445.72 2009.12,1445.72 \n",
+ " 2009.14,1445.72 2009.17,1445.72 2009.19,1445.72 2009.22,1445.72 2009.25,1445.72 2009.27,1445.72 2009.3,1445.72 2009.32,1445.72 2009.35,1445.72 2009.37,1445.72 \n",
+ " 2009.4,1445.72 2009.43,1445.72 2009.45,1445.72 2009.48,1445.72 2009.5,1445.72 2009.53,1445.72 2009.55,1445.72 2009.58,1445.72 2009.61,1445.72 2009.63,1445.72 \n",
+ " 2009.66,1445.72 2009.68,1445.72 2009.71,1445.72 2009.73,1445.72 2009.76,1445.72 2009.79,1445.72 2009.81,1445.72 2009.84,1445.72 2009.86,1445.72 2009.89,1445.72 \n",
+ " 2009.91,1445.72 2009.94,1445.72 2009.97,1445.72 2009.99,1445.72 2010.02,1445.72 2010.04,1445.72 2010.07,1445.72 2010.09,1445.72 2010.12,1445.72 2010.15,1445.72 \n",
+ " 2010.17,1445.72 2010.2,1445.72 2010.22,1445.72 2010.25,1445.72 2010.27,1445.72 2010.3,1445.72 2010.32,1445.72 2010.35,1445.72 2010.38,1445.72 2010.4,1445.72 \n",
+ " 2010.43,1445.72 2010.45,1445.72 2010.48,1445.72 2010.5,1445.72 2010.53,1445.72 2010.56,1445.72 2010.58,1445.72 2010.61,1445.72 2010.63,1445.72 2010.66,1445.72 \n",
+ " 2010.68,1445.72 2010.71,1445.72 2010.74,1445.72 2010.76,1445.72 2010.79,1445.72 2010.81,1445.72 2010.84,1445.72 2010.86,1445.72 2010.89,1445.72 2010.92,1445.72 \n",
+ " 2010.94,1445.72 2010.97,1445.72 2010.99,1445.72 2011.02,1445.72 2011.04,1445.72 2011.07,1445.72 2011.1,1445.72 2011.12,1445.72 2011.15,1445.72 2011.17,1445.72 \n",
+ " 2011.2,1445.72 2011.22,1445.72 2011.25,1445.72 2011.28,1445.72 2011.3,1445.72 2011.33,1445.72 2011.35,1445.72 2011.38,1445.72 2011.4,1445.72 2011.43,1445.72 \n",
+ " 2011.45,1445.72 2011.48,1445.72 2011.51,1445.72 2011.53,1445.72 2011.56,1445.72 2011.58,1445.72 2011.61,1445.72 2011.63,1445.72 2011.66,1445.72 2011.69,1445.72 \n",
+ " 2011.71,1445.72 2011.74,1445.72 2011.76,1445.72 2011.79,1445.72 2011.81,1445.72 2011.84,1445.72 2011.87,1445.72 2011.89,1445.72 2011.92,1445.72 2011.94,1445.72 \n",
+ " 2011.97,1445.72 2011.99,1445.72 2012.02,1445.72 2012.05,1445.72 2012.07,1445.72 2012.1,1445.72 2012.12,1445.72 2012.15,1445.72 2012.17,1445.72 2012.2,1445.72 \n",
+ " 2012.23,1445.72 2012.25,1445.72 2012.28,1445.72 2012.3,1445.72 2012.33,1445.72 2012.35,1445.72 2012.38,1445.72 2012.41,1445.72 2012.43,1445.72 2012.46,1445.72 \n",
+ " 2012.48,1445.72 2012.51,1445.72 2012.53,1445.72 2012.56,1445.72 2012.58,1445.72 2012.61,1445.72 2012.64,1445.72 2012.66,1445.72 2012.69,1445.72 2012.71,1445.72 \n",
+ " 2012.74,1445.72 2012.76,1445.72 2012.79,1445.72 2012.82,1445.72 2012.84,1445.72 2012.87,1445.72 2012.89,1445.72 2012.92,1445.72 2012.94,1445.72 2012.97,1445.72 \n",
+ " 2013,1445.72 2013.02,1445.72 2013.05,1445.72 2013.07,1445.72 2013.1,1445.72 2013.12,1445.72 2013.15,1445.72 2013.18,1445.72 2013.2,1445.72 2013.23,1445.72 \n",
+ " 2013.25,1445.72 2013.28,1445.72 2013.3,1445.72 2013.33,1445.72 2013.36,1445.72 2013.38,1445.72 2013.41,1445.72 2013.43,1445.72 2013.46,1445.72 2013.48,1445.72 \n",
+ " 2013.51,1445.72 2013.54,1445.72 2013.56,1445.72 2013.59,1445.72 2013.61,1445.72 2013.64,1445.72 2013.66,1445.72 2013.69,1445.72 2013.71,1445.72 2013.74,1445.72 \n",
+ " 2013.77,1445.72 2013.79,1445.72 2013.82,1445.72 2013.84,1445.72 2013.87,1445.72 2013.89,1445.72 2013.92,1445.72 2013.95,1445.72 2013.97,1445.72 2014,1445.72 \n",
+ " 2014.02,1445.72 2014.05,1445.72 2014.07,1445.72 2014.1,1445.72 2014.13,1445.72 2014.15,1445.72 2014.18,1445.72 2014.2,1445.72 2014.23,1445.72 2014.25,1445.72 \n",
+ " 2014.28,1445.72 2014.31,1445.72 2014.33,1445.72 2014.36,1445.72 2014.38,1445.72 2014.41,1445.72 2014.43,1445.72 2014.46,1445.72 2014.49,1445.72 2014.51,1445.72 \n",
+ " 2014.54,1445.72 2014.56,1445.72 2014.59,1445.72 2014.61,1445.72 2014.64,1445.72 2014.67,1445.72 2014.69,1445.72 2014.72,1445.72 2014.74,1445.72 2014.77,1445.72 \n",
+ " 2014.79,1445.72 2014.82,1445.72 2014.85,1445.72 2014.87,1445.72 2014.9,1445.72 2014.92,1445.72 2014.95,1445.72 2014.97,1445.72 2015,1445.72 2015.02,1445.72 \n",
+ " 2015.05,1445.72 2015.08,1445.72 2015.1,1445.72 2015.13,1445.72 2015.15,1445.72 2015.18,1445.72 2015.2,1445.72 2015.23,1445.72 2015.26,1445.72 2015.28,1445.72 \n",
+ " 2015.31,1445.72 2015.33,1445.72 2015.36,1445.72 2015.38,1445.72 2015.41,1445.72 2015.44,1445.72 2015.46,1445.72 2015.49,1445.72 2015.51,1445.72 2015.54,1445.72 \n",
+ " 2015.56,1445.72 2015.59,1445.72 2015.62,1445.72 2015.64,1445.72 2015.67,1445.72 2015.69,1445.72 2015.72,1445.72 2015.74,1445.72 2015.77,1445.72 2015.8,1445.72 \n",
+ " 2015.82,1445.72 2015.85,1445.72 2015.87,1445.72 2015.9,1445.72 2015.92,1445.72 2015.95,1445.72 2015.98,1445.72 2016,1445.72 2016.03,1445.72 2016.05,1445.72 \n",
+ " 2016.08,1445.72 2016.1,1445.72 2016.13,1445.72 2016.15,1445.72 2016.18,1445.72 2016.21,1445.72 2016.23,1445.72 2016.26,1445.72 2016.28,1445.72 2016.31,1445.72 \n",
+ " 2016.33,1445.72 2016.36,1445.72 2016.39,1445.72 2016.41,1445.72 2016.44,1445.72 2016.46,1445.72 2016.49,1445.72 2016.51,1445.72 2016.54,1445.72 2016.57,1445.72 \n",
+ " 2016.59,1445.72 2016.62,1445.72 2016.64,1445.72 2016.67,1445.72 2016.69,1445.72 2016.72,1445.72 2016.75,1445.72 2016.77,1445.72 2016.8,1445.72 2016.82,1445.72 \n",
+ " 2016.85,1445.72 2016.87,1445.72 2016.9,1445.72 2016.93,1445.72 2016.95,1445.72 2016.98,1445.72 2017,1445.72 2017.03,1445.72 2017.05,1445.72 2017.08,1445.72 \n",
+ " 2017.11,1445.72 2017.13,1445.72 2017.16,1445.72 2017.18,1445.72 2017.21,1445.72 2017.23,1445.72 2017.26,1445.72 2017.28,1445.72 2017.31,1445.72 2017.34,1445.72 \n",
+ " 2017.36,1445.72 2017.39,1445.72 2017.41,1445.72 2017.44,1445.72 2017.46,1445.72 2017.49,1445.72 2017.52,1445.72 2017.54,1445.72 2017.57,1445.72 2017.59,1445.72 \n",
+ " 2017.62,1445.72 2017.64,1445.72 2017.67,1445.72 2017.7,1445.72 2017.72,1445.72 2017.75,1445.72 2017.77,1445.72 2017.8,1445.72 2017.82,1445.72 2017.85,1445.72 \n",
+ " 2017.88,1445.72 2017.9,1445.72 2017.93,1445.72 2017.95,1445.72 2017.98,1445.72 2018,1445.72 2018.03,1445.72 2018.06,1445.72 2018.08,1445.72 2018.11,1445.72 \n",
+ " 2018.13,1445.72 2018.16,1445.72 2018.18,1445.72 2018.21,1445.72 2018.24,1445.72 2018.26,1445.72 2018.29,1445.72 2018.31,1445.72 2018.34,1445.72 2018.36,1445.72 \n",
+ " 2018.39,1445.72 2018.41,1445.72 2018.44,1445.72 2018.47,1445.72 2018.49,1445.72 2018.52,1445.72 2018.54,1445.72 2018.57,1445.72 2018.59,1445.72 2018.62,1445.72 \n",
+ " 2018.65,1445.72 2018.67,1445.72 2018.7,1445.72 2018.72,1445.72 2018.75,1445.72 2018.77,1445.72 2018.8,1445.72 2018.83,1445.72 2018.85,1445.72 2018.88,1445.72 \n",
+ " 2018.9,1445.72 2018.93,1445.72 2018.95,1445.72 2018.98,1445.72 2019.01,1445.72 2019.03,1445.72 2019.06,1445.72 2019.08,1445.72 2019.11,1445.72 2019.13,1445.72 \n",
+ " 2019.16,1445.72 2019.19,1445.72 2019.21,1445.72 2019.24,1445.72 2019.26,1445.72 2019.29,1445.72 2019.31,1445.72 2019.34,1445.72 2019.37,1445.72 2019.39,1445.72 \n",
+ " 2019.42,1445.72 2019.44,1445.72 2019.47,1445.72 2019.49,1445.72 2019.52,1445.72 2019.55,1445.72 2019.57,1445.72 2019.6,1445.72 2019.62,1445.72 2019.65,1445.72 \n",
+ " 2019.67,1445.72 2019.7,1445.72 2019.72,1445.72 2019.75,1445.72 2019.78,1445.72 2019.8,1445.72 2019.83,1445.72 2019.85,1445.72 2019.88,1445.72 2019.9,1445.72 \n",
+ " 2019.93,1445.72 2019.96,1445.72 2019.98,1445.72 2020.01,1445.72 2020.03,1445.72 2020.06,1445.72 2020.08,1445.72 2020.11,1445.72 2020.14,1445.72 2020.16,1445.72 \n",
+ " 2020.19,1445.72 2020.21,1445.72 2020.24,1445.72 2020.26,1445.72 2020.29,1445.72 2020.32,1445.72 2020.34,1445.72 2020.37,1445.72 2020.39,1445.72 2020.42,1445.72 \n",
+ " 2020.44,1445.72 2020.47,1445.72 2020.5,1445.72 2020.52,1445.72 2020.55,1445.72 2020.57,1445.72 2020.6,1445.72 2020.62,1445.72 2020.65,1445.72 2020.68,1445.72 \n",
+ " 2020.7,1445.72 2020.73,1445.72 2020.75,1445.72 2020.78,1445.72 2020.8,1445.72 2020.83,1445.72 2020.85,1445.72 2020.88,1445.72 2020.91,1445.72 2020.93,1445.72 \n",
+ " 2020.96,1445.72 2020.98,1445.72 2021.01,1445.72 2021.03,1445.72 2021.06,1445.72 2021.09,1445.72 2021.11,1445.72 2021.14,1445.72 2021.16,1445.72 2021.19,1445.72 \n",
+ " 2021.21,1445.72 2021.24,1445.72 2021.27,1445.72 2021.29,1445.72 2021.32,1445.72 2021.34,1445.72 2021.37,1445.72 2021.39,1445.72 2021.42,1445.72 2021.45,1445.72 \n",
+ " 2021.47,1445.72 2021.5,1445.72 2021.52,1445.72 2021.55,1445.72 2021.57,1445.72 2021.6,1445.72 2021.63,1445.72 2021.65,1445.72 2021.68,1445.72 2021.7,1445.72 \n",
+ " 2021.73,1445.72 2021.75,1445.72 2021.78,1445.72 2021.81,1445.72 2021.83,1445.72 2021.86,1445.72 2021.88,1445.72 2021.91,1445.72 2021.93,1445.72 2021.96,1445.72 \n",
+ " 2021.98,1445.72 2022.01,1445.72 2022.04,1445.72 2022.06,1445.72 2022.09,1445.72 2022.11,1445.72 2022.14,1445.72 2022.16,1445.72 2022.19,1445.72 2022.22,1445.72 \n",
+ " 2022.24,1445.72 2022.27,1445.72 2022.29,1445.72 2022.32,1445.72 2022.34,1445.72 2022.37,1445.72 2022.4,1445.72 2022.42,1445.72 2022.45,1445.72 2022.47,1445.72 \n",
+ " 2022.5,1445.72 2022.52,1445.72 2022.55,1445.72 2022.58,1445.72 2022.6,1445.72 2022.63,1445.72 2022.65,1445.72 2022.68,1445.72 2022.7,1445.72 2022.73,1445.72 \n",
+ " 2022.76,1445.72 2022.78,1445.72 2022.81,1445.72 2022.83,1445.72 2022.86,1445.72 2022.88,1445.72 2022.91,1445.72 2022.94,1445.72 2022.96,1445.72 2022.99,1445.72 \n",
+ " 2023.01,1445.72 2023.04,1445.72 2023.06,1445.72 2023.09,1445.72 2023.11,1445.72 2023.14,1445.72 2023.17,1445.72 2023.19,1445.72 2023.22,1445.72 2023.24,1445.72 \n",
+ " 2023.27,1445.72 2023.29,1445.72 2023.32,1445.72 2023.35,1445.72 2023.37,1445.72 2023.4,1445.72 2023.42,1445.72 2023.45,1445.72 2023.47,1445.72 2023.5,1445.72 \n",
+ " 2023.53,1445.72 2023.55,1445.72 2023.58,1445.72 2023.6,1445.72 2023.63,1445.72 2023.65,1445.72 2023.68,1445.72 2023.71,1445.72 2023.73,1445.72 2023.76,1445.72 \n",
+ " 2023.78,1445.72 2023.81,1445.72 2023.83,1445.72 2023.86,1445.72 2023.89,1445.72 2023.91,1445.72 2023.94,1445.72 2023.96,1445.72 2023.99,1445.72 2024.01,1445.72 \n",
+ " 2024.04,1445.72 2024.07,1445.72 2024.09,1445.72 2024.12,1445.72 2024.14,1445.72 2024.17,1445.72 2024.19,1445.72 2024.22,1445.72 2024.25,1445.72 2024.27,1445.72 \n",
+ " 2024.3,1445.72 2024.32,1445.72 2024.35,1445.72 2024.37,1445.72 2024.4,1445.72 2024.42,1445.72 2024.45,1445.72 2024.48,1445.72 2024.5,1445.72 2024.53,1445.72 \n",
+ " 2024.55,1445.72 2024.58,1445.72 2024.6,1445.72 2024.63,1445.72 2024.66,1445.72 2024.68,1445.72 2024.71,1445.72 2024.73,1445.72 2024.76,1445.72 2024.78,1445.72 \n",
+ " 2024.81,1445.72 2024.84,1445.72 2024.86,1445.72 2024.89,1445.72 2024.91,1445.72 2024.94,1445.72 2024.96,1445.72 2024.99,1445.72 2025.02,1445.72 2025.04,1445.72 \n",
+ " 2025.07,1445.72 2025.09,1445.72 2025.12,1445.72 2025.14,1445.72 2025.17,1445.72 2025.2,1445.72 2025.22,1445.72 2025.25,1445.72 2025.27,1445.72 2025.3,1445.72 \n",
+ " 2025.32,1445.72 2025.35,1445.72 2025.38,1445.72 2025.4,1445.72 2025.43,1445.72 2025.45,1445.72 2025.48,1445.72 2025.5,1445.72 2025.53,1445.72 2025.55,1445.72 \n",
+ " 2025.58,1445.72 2025.61,1445.72 2025.63,1445.72 2025.66,1445.72 2025.68,1445.72 2025.71,1445.72 2025.73,1445.72 2025.76,1445.72 2025.79,1445.72 2025.81,1445.72 \n",
+ " 2025.84,1445.72 2025.86,1445.72 2025.89,1445.72 2025.91,1445.72 2025.94,1445.72 2025.97,1445.72 2025.99,1445.72 2026.02,1445.72 2026.04,1445.72 2026.07,1445.72 \n",
+ " 2026.09,1445.72 2026.12,1445.72 2026.15,1445.72 2026.17,1445.72 2026.2,1445.72 2026.22,1445.72 2026.25,1445.72 2026.27,1445.72 2026.3,1445.72 2026.33,1445.72 \n",
+ " 2026.35,1445.72 2026.38,1445.72 2026.4,1445.72 2026.43,1445.72 2026.45,1445.72 2026.48,1445.72 2026.51,1445.72 2026.53,1445.72 2026.56,1445.72 2026.58,1445.72 \n",
+ " 2026.61,1445.72 2026.63,1445.72 2026.66,1445.72 2026.68,1445.72 2026.71,1445.72 2026.74,1445.72 2026.76,1445.72 2026.79,1445.72 2026.81,1445.72 2026.84,1445.72 \n",
+ " 2026.86,1445.72 2026.89,1445.72 2026.92,1445.72 2026.94,1445.72 2026.97,1445.72 2026.99,1445.72 2027.02,1445.72 2027.04,1445.72 2027.07,1445.72 2027.1,1445.72 \n",
+ " 2027.12,1445.72 2027.15,1445.72 2027.17,1445.72 2027.2,1445.72 2027.22,1445.72 2027.25,1445.72 2027.28,1445.72 2027.3,1445.72 2027.33,1445.72 2027.35,1445.72 \n",
+ " 2027.38,1445.72 2027.4,1445.72 2027.43,1445.72 2027.46,1445.72 2027.48,1445.72 2027.51,1445.72 2027.53,1445.72 2027.56,1445.72 2027.58,1445.72 2027.61,1445.72 \n",
+ " 2027.64,1445.72 2027.66,1445.72 2027.69,1445.72 2027.71,1445.72 2027.74,1445.72 2027.76,1445.72 2027.79,1445.72 2027.81,1445.72 2027.84,1445.72 2027.87,1445.72 \n",
+ " 2027.89,1445.72 2027.92,1445.72 2027.94,1445.72 2027.97,1445.72 2027.99,1445.72 2028.02,1445.72 2028.05,1445.72 2028.07,1445.72 2028.1,1445.72 2028.12,1445.72 \n",
+ " 2028.15,1445.72 2028.17,1445.72 2028.2,1445.72 2028.23,1445.72 2028.25,1445.72 2028.28,1445.72 2028.3,1445.72 2028.33,1445.72 2028.35,1445.72 2028.38,1445.72 \n",
+ " 2028.41,1445.72 2028.43,1445.72 2028.46,1445.72 2028.48,1445.72 2028.51,1445.72 2028.53,1445.72 2028.56,1445.72 2028.59,1445.72 2028.61,1445.72 2028.64,1445.72 \n",
+ " 2028.66,1445.72 2028.69,1445.72 2028.71,1445.72 2028.74,1445.72 2028.77,1445.72 2028.79,1445.72 2028.82,1445.72 2028.84,1445.72 2028.87,1445.72 2028.89,1445.72 \n",
+ " 2028.92,1445.72 2028.95,1445.72 2028.97,1445.72 2029,1445.72 2029.02,1445.72 2029.05,1445.72 2029.07,1445.72 2029.1,1445.72 2029.12,1445.72 2029.15,1445.72 \n",
+ " 2029.18,1445.72 2029.2,1445.72 2029.23,1445.72 2029.25,1445.72 2029.28,1445.72 2029.3,1445.72 2029.33,1445.72 2029.36,1445.72 2029.38,1445.72 2029.41,1445.72 \n",
+ " 2029.43,1445.72 2029.46,1445.72 2029.48,1445.72 2029.51,1445.72 2029.54,1445.72 2029.56,1445.72 2029.59,1445.72 2029.61,1445.72 2029.64,1445.72 2029.66,1445.72 \n",
+ " 2029.69,1445.72 2029.72,1445.72 2029.74,1445.72 2029.77,1445.72 2029.79,1445.72 2029.82,1445.72 2029.84,1445.72 2029.87,1445.72 2029.9,1445.72 2029.92,1445.72 \n",
+ " 2029.95,1445.72 2029.97,1445.72 2030,1445.72 2030.02,1445.72 2030.05,1445.72 2030.08,1445.72 2030.1,1445.72 2030.13,1445.72 2030.15,1445.72 2030.18,1445.72 \n",
+ " 2030.2,1445.72 2030.23,1445.72 2030.25,1445.72 2030.28,1445.72 2030.31,1445.72 2030.33,1445.72 2030.36,1445.72 2030.38,1445.72 2030.41,1445.72 2030.43,1445.72 \n",
+ " 2030.46,1445.72 2030.49,1445.72 2030.51,1445.72 2030.54,1445.72 2030.56,1445.72 2030.59,1445.72 2030.61,1445.72 2030.64,1445.72 2030.67,1445.72 2030.69,1445.72 \n",
+ " 2030.72,1445.72 2030.74,1445.72 2030.77,1445.72 2030.79,1445.72 2030.82,1445.72 2030.85,1445.72 2030.87,1445.72 2030.9,1445.72 2030.92,1445.72 2030.95,1445.72 \n",
+ " 2030.97,1445.72 2031,1445.72 2031.03,1445.72 2031.05,1445.72 2031.08,1445.72 2031.1,1445.72 2031.13,1445.72 2031.15,1445.72 2031.18,1445.72 2031.21,1445.72 \n",
+ " 2031.23,1445.72 2031.26,1445.72 2031.28,1445.72 2031.31,1445.72 2031.33,1445.72 2031.36,1445.72 2031.38,1445.72 2031.41,1445.72 2031.44,1445.72 2031.46,1445.72 \n",
+ " 2031.49,1445.72 2031.51,1445.72 2031.54,1445.72 2031.56,1445.72 2031.59,1445.72 2031.62,1445.72 2031.64,1445.72 2031.67,1445.72 2031.69,1445.72 2031.72,1445.72 \n",
+ " 2031.74,1445.72 2031.77,1445.72 2031.8,1445.72 2031.82,1445.72 2031.85,1445.72 2031.87,1445.72 2031.9,1445.72 2031.92,1445.72 2031.95,1445.72 2031.98,1445.72 \n",
+ " 2032,1445.72 2032.03,1445.72 2032.05,1445.72 2032.08,1445.72 2032.1,1445.72 2032.13,1445.72 2032.16,1445.72 2032.18,1445.72 2032.21,1445.72 2032.23,1445.72 \n",
+ " 2032.26,1445.72 2032.28,1445.72 2032.31,1445.72 2032.34,1445.72 2032.36,1445.72 2032.39,1445.72 2032.41,1445.72 2032.44,1445.72 2032.46,1445.72 2032.49,1445.72 \n",
+ " 2032.51,1445.72 2032.54,1445.72 2032.57,1445.72 2032.59,1445.72 2032.62,1445.72 2032.64,1445.72 2032.67,1445.72 2032.69,1445.72 2032.72,1445.72 2032.75,1445.72 \n",
+ " 2032.77,1445.72 2032.8,1445.72 2032.82,1445.72 2032.85,1445.72 2032.87,1445.72 2032.9,1445.72 2032.93,1445.72 2032.95,1445.72 2032.98,1445.72 2033,1445.72 \n",
+ " 2033.03,1445.72 2033.05,1445.72 2033.08,1445.72 2033.11,1445.72 2033.13,1445.72 2033.16,1445.72 2033.18,1445.72 2033.21,1445.72 2033.23,1445.72 2033.26,1445.72 \n",
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+ " \n",
+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "execution_count": 108,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "function forceProfile(currentRestLength,currentTimeStep)\n",
+ " if currentTimeStep<40000\n",
+ " temp=-1.0*currentTimeStep/40000 \n",
+ " currentRestLength=1+1*(temp*1)\n",
+ " end\n",
+ " return currentRestLength\n",
+ "end\n",
+ "\n",
+ "currentRestLength=1\n",
+ "m=[]\n",
+ "for i= 1:80000\n",
+ " currentRestLength=forceProfile(currentRestLength,i)\n",
+ " append!(m,[currentRestLength])\n",
+ "end\n",
+ "\n",
+ "\n",
+ "setupViz=getSetup1(\"$(simName)/0\")\n",
+ "maxNumFiles=setupViz[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupViz[\"numTimeSteps\"]\n",
+ "\n",
+ "x=(1:numTimeSteps).*setupViz[\"dt\"]\n",
+ "\n",
+ "plot(x,m,label=\"\")\n",
+ "# plot(m,label=\"\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Tendons New"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Julia 1.5.3",
+ "language": "julia",
+ "name": "julia-1.5"
+ },
+ "language_info": {
+ "file_extension": ".jl",
+ "mimetype": "application/julia",
+ "name": "julia",
+ "version": "1.5.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/jupyter/Structural Dynamics Validation.ipynb b/jupyter/Structural Dynamics Validation.ipynb
new file mode 100644
index 0000000..9095ce7
--- /dev/null
+++ b/jupyter/Structural Dynamics Validation.ipynb
@@ -0,0 +1,5078 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Structural Dynamics Validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 307,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Amira Abdel-Rahman\n",
+ "# (c) Massachusetts Institute of Technology 2021\n",
+ "\n",
+ "# tested using julia 1.5.2 and macbook pro"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 308,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n"
+ ]
+ }
+ ],
+ "source": [
+ "using FFTW\n",
+ "\n",
+ "plotting=true\n",
+ "GPU=false\n",
+ "logging=true\n",
+ "include(\"../julia/MetaVoxels.jl\") #load MetaVoxels!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Lumped Mass (Old)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Single DOF in Metavoxels"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 309,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n",
+ "Success! Created structure with 2 nodes and 1 edges.\n",
+ "dt: 0.008595349728956281, s: 0.001, mass: 625.0, momentInertiaInverse: 9600.0\n",
+ "first timestep took 0.96974329 seconds\n",
+ "ran 2 nodes and 1 edges for 2000 time steps took 0.460185933 seconds\n"
+ ]
+ }
+ ],
+ "source": [
+ "simName= \"tutorial\" # set name for simulation\n",
+ "# get a saved setup from an external julia file\n",
+ "# include(\"../julia/examples/thermalTest.jl\") #template for multimaterial hierarchical voxels with different thermal coefficient of thermal expansion \n",
+ "include(\"../julia/examples/singleDOF.jl\") #template for lattice voxel (big scale with real params)\n",
+ "\n",
+ "\n",
+ "## recompile these just for sanity check for dynamic loads\n",
+ "include(\"../julia/MetaVoxels.jl\") \n",
+ "\n",
+ "#export setup using nodejs and javascript from \"./json/$(simName)Init.json\" and save to \"./json/$(simName).json\"\n",
+ "exportJuliaSettingsUsingNode(setup,simName)\n",
+ "\n",
+ "setupSim=getSetup(simName); #get simulation from\"./json/$(simName).json\"\n",
+ "savedDataFolderPath=\"../json/$(simName)/\" # make sure this folder exists, this is where the simulation result will be saved\n",
+ "\n",
+ "setupSimFEA=getSetup(simName);\n",
+ "\n",
+ "runMetaVoxels!(setupSim,savedDataFolderPath,\"CPU\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 310,
+ "metadata": {},
+ "outputs": [
+ {
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+ " 1566.85,569.819 1571.77,678.002 1576.68,755.072 1581.59,838.196 1586.51,957.23 1591.42,1071.24 1596.34,1116.24 1601.25,1091.68 1606.16,1053.49 1611.08,1025.86 \n",
+ " 1615.99,968.251 1620.9,847.712 1625.82,703.273 1630.73,601.808 1635.65,552.167 1640.56,508.202 1645.47,453.656 1650.39,436.157 1655.3,497.267 1660.21,606.619 \n",
+ " 1665.13,701.791 1670.04,772.672 1674.96,861.435 1679.87,980.392 1684.78,1076.68 1689.7,1099.7 1694.61,1068.38 1699.52,1035.78 1704.44,1006.89 1709.35,936.48 \n",
+ " 1714.27,809.264 1719.18,677.166 1724.09,595.03 1729.01,552.634 1733.92,505.928 1738.83,457.087 1743.75,458.429 1748.66,533.834 1753.58,638.998 1758.49,721.875 \n",
+ " 1763.4,790.505 1768.32,885.088 1773.23,999.628 1778.14,1075.97 1783.06,1080.67 1787.97,1047.22 1792.89,1019.74 1797.8,986.038 1802.71,902.998 1807.63,773.932 \n",
+ " 1812.54,657.181 1817.45,591.589 1822.37,552.427 1827.28,503.737 1832.2,464.324 1837.11,484.498 1842.02,569.314 1846.94,666.802 1851.85,739.415 1856.76,809.115 \n",
+ " 1861.68,908.236 1866.59,1014.09 1871.5,1069.85 1876.42,1060.64 1881.33,1028.49 1886.25,1004.39 1891.16,962.913 1896.07,868.872 1900.99,742.763 1905.9,642.792 \n",
+ " 1910.81,590.146 1915.73,551.291 1920.64,502.58 1925.56,475.725 1930.47,513.23 1935.38,602.498 1940.3,690.323 1945.21,755.54 1950.12,828.623 1955.04,929.828 \n",
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+ " 2009.09,549.377 2014,503.383 2018.92,491.238 2023.83,543.339 2028.74,632.537 2033.66,710.194 2038.57,771.202 2043.49,848.763 2048.4,948.838 2053.31,1027.22 \n",
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+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "dis=plotDisplacementTroughTimeSteps(simName,2,\"x\");#setup[\"globalDamping\"]=0.002"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Woked Example"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 311,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "4.628"
+ ]
+ },
+ "execution_count": 311,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Constants\n",
+ "m = 10000 # (kg) Mass\n",
+ "xi = 0.02 # Damping ratio\n",
+ "P = 1500 # (N) Static force magnitude\n",
+ "Delta = 7 # (mm) Static displacement\n",
+ "\n",
+ "# Undamped natural frequency\n",
+ "k = P/(Delta/1000) #(N/m) Stiffness\n",
+ "omega_n = round(sqrt(k/m),digits=3) #(rads/sec) Angular natural frequency\n",
+ "fn = round(omega_n/(2*pi),digits=3) # (Hz) Natural frequency\n",
+ "T = round(1/fn,digits=2) # (sec) Period of oscillation\n",
+ "c = round(xi*2*m*omega_n,digits=2) #(Ns/m) Damping coefficient\n",
+ "delta = round(2*pi*xi,digits=3) # Logarithmic decrement\n",
+ "omega_d = round(omega_n*sqrt(1-(xi^2)),digits=3) #(rads/sec) Damped angular natural frequency"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 312,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "u_start = 0.007\n",
+ "u_finish = 0.001\n",
+ "n = log(u_start/u_finish)/delta\n",
+ "n_full = ceil(n)\n",
+ "t_full = T*n_full\n",
+ "\n",
+ "tmax = 60 #(sec) The max time\n",
+ "delta_t = 0.01 #(sec) The timestep\n",
+ "nPoints = tmax/delta_t #Number of equally spaced data points\n",
+ "\n",
+ "t = LinRange(0,tmax, Int(nPoints)); # Time vector\n",
+ "\n",
+ "\n",
+ "u = exp.(-xi*omega_n*t).*(0.00014*sin.(omega_d*t) + 0.007 *cos.(omega_d*t)); #The damped oscillation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 313,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
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+ " 1841.5,770.057 1841.83,769.688 1842.15,769.328 1842.47,768.978 1842.79,768.637 1843.11,768.307 1843.43,767.988 1843.76,767.681 1844.08,767.387 1844.4,767.106 \n",
+ " 1844.72,766.839 1845.04,766.587 1845.37,766.349 1845.69,766.126 1846.01,765.92 1846.33,765.73 1846.65,765.556 1846.97,765.399 1847.3,765.26 1847.62,765.138 \n",
+ " 1847.94,765.034 1848.26,764.947 1848.58,764.879 1848.9,764.829 1849.23,764.798 1849.55,764.785 1849.87,764.79 1850.19,764.813 1850.51,764.854 1850.83,764.914 \n",
+ " 1851.16,764.991 1851.48,765.086 1851.8,765.199 1852.12,765.329 1852.44,765.475 1852.77,765.638 1853.09,765.818 1853.41,766.013 1853.73,766.223 1854.05,766.449 \n",
+ " 1854.37,766.688 1854.7,766.941 1855.02,767.208 1855.34,767.487 1855.66,767.778 1855.98,768.08 1856.3,768.394 1856.63,768.717 1856.95,769.049 1857.27,769.39 \n",
+ " 1857.59,769.738 1857.91,770.094 1858.24,770.456 1858.56,770.824 1858.88,771.196 1859.2,771.572 1859.52,771.951 1859.84,772.332 1860.17,772.715 1860.49,773.098 \n",
+ " 1860.81,773.481 1861.13,773.863 1861.45,774.244 1861.77,774.621 1862.1,774.995 1862.42,775.365 1862.74,775.73 1863.06,776.089 1863.38,776.441 1863.7,776.786 \n",
+ " 1864.03,777.123 1864.35,777.451 1864.67,777.77 1864.99,778.079 1865.31,778.377 1865.64,778.663 1865.96,778.938 1866.28,779.2 1866.6,779.449 1866.92,779.685 \n",
+ " 1867.24,779.906 1867.57,780.113 1867.89,780.305 1868.21,780.482 1868.53,780.643 1868.85,780.788 1869.17,780.917 1869.5,781.029 1869.82,781.125 1870.14,781.203 \n",
+ " 1870.46,781.265 1870.78,781.31 1871.11,781.337 1871.43,781.348 1871.75,781.341 1872.07,781.317 1872.39,781.275 1872.71,781.217 1873.04,781.143 1873.36,781.051 \n",
+ " 1873.68,780.943 1874,780.819 1874.32,780.68 1874.64,780.524 1874.97,780.354 1875.29,780.169 1875.61,779.969 1875.93,779.756 1876.25,779.53 1876.57,779.29 \n",
+ " 1876.9,779.038 1877.22,778.775 1877.54,778.5 1877.86,778.215 1878.18,777.919 1878.51,777.615 1878.83,777.302 1879.15,776.981 1879.47,776.652 1879.79,776.317 \n",
+ " 1880.11,775.977 1880.44,775.631 1880.76,775.281 1881.08,774.928 1881.4,774.571 1881.72,774.213 1882.04,773.853 1882.37,773.493 1882.69,773.134 1883.01,772.775 \n",
+ " 1883.33,772.418 1883.65,772.064 1883.98,771.713 1884.3,771.367 1884.62,771.025 1884.94,770.688 1885.26,770.358 1885.58,770.035 1885.91,769.72 1886.23,769.413 \n",
+ " 1886.55,769.115 1886.87,768.826 1887.19,768.548 1887.51,768.28 1887.84,768.023 1888.16,767.779 1888.48,767.547 1888.8,767.327 1889.12,767.121 1889.44,766.928 \n",
+ " 1889.77,766.75 1890.09,766.586 1890.41,766.437 1890.73,766.302 1891.05,766.183 1891.38,766.08 1891.7,765.992 1892.02,765.92 1892.34,765.864 1892.66,765.824 \n",
+ " 1892.98,765.801 1893.31,765.793 1893.63,765.802 1893.95,765.826 1894.27,765.867 1894.59,765.923 1894.91,765.996 1895.24,766.084 1895.56,766.187 1895.88,766.305 \n",
+ " 1896.2,766.438 1896.52,766.586 1896.85,766.748 1897.17,766.923 1897.49,767.112 1897.81,767.314 1898.13,767.529 1898.45,767.755 1898.78,767.993 1899.1,768.242 \n",
+ " 1899.42,768.501 1899.74,768.77 1900.06,769.049 1900.38,769.336 1900.71,769.631 1901.03,769.933 1901.35,770.243 1901.67,770.558 1901.99,770.878 1902.31,771.204 \n",
+ " 1902.64,771.533 1902.96,771.865 1903.28,772.2 1903.6,772.537 1903.92,772.874 1904.25,773.212 1904.57,773.55 1904.89,773.887 1905.21,774.221 1905.53,774.554 \n",
+ " 1905.85,774.883 1906.18,775.208 1906.5,775.528 1906.82,775.843 1907.14,776.152 1907.46,776.455 1907.78,776.75 1908.11,777.037 1908.43,777.316 1908.75,777.586 \n",
+ " 1909.07,777.846 1909.39,778.096 1909.72,778.336 1910.04,778.564 1910.36,778.781 1910.68,778.985 1911,779.177 1911.32,779.356 1911.65,779.522 1911.97,779.674 \n",
+ " 1912.29,779.813 1912.61,779.937 1912.93,780.047 1913.25,780.142 1913.58,780.223 1913.9,780.288 1914.22,780.339 1914.54,780.375 1914.86,780.395 1915.18,780.4 \n",
+ " 1915.51,780.39 1915.83,780.365 1916.15,780.325 1916.47,780.27 1916.79,780.2 1917.12,780.115 1917.44,780.017 1917.76,779.904 1918.08,779.777 1918.4,779.637 \n",
+ " 1918.72,779.483 1919.05,779.316 1919.37,779.137 1919.69,778.946 1920.01,778.743 1920.33,778.529 1920.65,778.305 1920.98,778.07 1921.3,777.825 1921.62,777.571 \n",
+ " 1921.94,777.308 1922.26,777.038 1922.59,776.76 1922.91,776.475 1923.23,776.184 1923.55,775.887 1923.87,775.585 1924.19,775.279 1924.52,774.97 1924.84,774.658 \n",
+ " 1925.16,774.343 1925.48,774.026 1925.8,773.709 1926.12,773.392 1926.45,773.075 1926.77,772.759 1927.09,772.445 1927.41,772.133 1927.73,771.825 1928.05,771.52 \n",
+ " 1928.38,771.22 1928.7,770.924 1929.02,770.635 1929.34,770.352 1929.66,770.075 1929.99,769.806 1930.31,769.546 1930.63,769.293 1930.95,769.05 1931.27,768.817 \n",
+ " 1931.59,768.593 1931.92,768.38 1932.24,768.178 1932.56,767.988 1932.88,767.809 1933.2,767.642 1933.52,767.488 1933.85,767.347 1934.17,767.218 1934.49,767.104 \n",
+ " 1934.81,767.002 1935.13,766.914 1935.46,766.841 1935.78,766.781 1936.1,766.735 1936.42,766.704 1936.74,766.686 1937.06,766.683 1937.39,766.695 1937.71,766.72 \n",
+ " 1938.03,766.759 1938.35,766.813 1938.67,766.88 1938.99,766.961 1939.32,767.056 1939.64,767.163 1939.96,767.284 1940.28,767.418 1940.6,767.564 1940.92,767.721 \n",
+ " 1941.25,767.891 1941.57,768.072 1941.89,768.264 1942.21,768.466 1942.53,768.679 1942.86,768.9 1943.18,769.131 1943.5,769.371 1943.82,769.619 1944.14,769.874 \n",
+ " 1944.46,770.136 1944.79,770.404 1945.11,770.678 1945.43,770.957 1945.75,771.241 1946.07,771.529 1946.39,771.82 1946.72,772.114 1947.04,772.409 1947.36,772.707 \n",
+ " 1947.68,773.005 1948,773.303 1948.33,773.6 1948.65,773.897 1948.97,774.191 1949.29,774.484 1949.61,774.773 1949.93,775.059 1950.26,775.34 1950.58,775.617 \n",
+ " 1950.9,775.888 1951.22,776.153 1951.54,776.412 1951.86,776.663 1952.19,776.907 1952.51,777.143 1952.83,777.37 1953.15,777.588 1953.47,777.797 1953.79,777.996 \n",
+ " 1954.12,778.184 1954.44,778.361 1954.76,778.528 1955.08,778.683 1955.4,778.826 1955.73,778.957 1956.05,779.076 1956.37,779.182 1956.69,779.276 1957.01,779.357 \n",
+ " 1957.33,779.424 1957.66,779.479 1957.98,779.52 1958.3,779.548 1958.62,779.562 1958.94,779.563 1959.26,779.551 1959.59,779.526 1959.91,779.487 1960.23,779.435 \n",
+ " 1960.55,779.37 1960.87,779.292 1961.2,779.202 1961.52,779.099 1961.84,778.984 1962.16,778.857 1962.48,778.719 1962.8,778.569 1963.13,778.409 1963.45,778.237 \n",
+ " 1963.77,778.056 1964.09,777.865 1964.41,777.664 1964.73,777.454 1965.06,777.236 1965.38,777.01 1965.7,776.777 1966.02,776.537 1966.34,776.29 1966.66,776.037 \n",
+ " 1966.99,775.779 1967.31,775.516 1967.63,775.249 1967.95,774.979 1968.27,774.705 1968.6,774.429 1968.92,774.151 1969.24,773.872 1969.56,773.592 1969.88,773.312 \n",
+ " 1970.2,773.032 1970.53,772.754 1970.85,772.478 1971.17,772.203 1971.49,771.932 1971.81,771.664 1972.13,771.401 1972.46,771.142 1972.78,770.888 1973.1,770.639 \n",
+ " 1973.42,770.397 1973.74,770.162 1974.07,769.934 1974.39,769.713 1974.71,769.501 1975.03,769.297 1975.35,769.103 1975.67,768.917 1976,768.742 1976.32,768.576 \n",
+ " 1976.64,768.422 1976.96,768.277 1977.28,768.144 1977.6,768.023 1977.93,767.913 1978.25,767.814 1978.57,767.728 1978.89,767.654 1979.21,767.592 1979.54,767.542 \n",
+ " 1979.86,767.505 1980.18,767.481 1980.5,767.469 1980.82,767.469 1981.14,767.482 1981.47,767.508 1981.79,767.546 1982.11,767.596 1982.43,767.659 1982.75,767.733 \n",
+ " 1983.07,767.82 1983.4,767.918 1983.72,768.027 1984.04,768.148 1984.36,768.279 1984.68,768.421 1985,768.573 1985.33,768.735 1985.65,768.907 1985.97,769.088 \n",
+ " 1986.29,769.277 1986.61,769.475 1986.94,769.681 1987.26,769.894 1987.58,770.114 1987.9,770.34 1988.22,770.573 1988.54,770.811 1988.87,771.054 1989.19,771.301 \n",
+ " 1989.51,771.552 1989.83,771.807 1990.15,772.064 1990.47,772.324 1990.8,772.585 1991.12,772.848 1991.44,773.11 1991.76,773.373 1992.08,773.635 1992.41,773.897 \n",
+ " 1992.73,774.156 1993.05,774.413 1993.37,774.667 1993.69,774.918 1994.01,775.166 1994.34,775.408 1994.66,775.646 1994.98,775.879 1995.3,776.105 1995.62,776.325 \n",
+ " 1995.94,776.539 1996.27,776.745 1996.59,776.943 1996.91,777.133 1997.23,777.315 1997.55,777.488 1997.87,777.651 1998.2,777.806 1998.52,777.95 1998.84,778.084 \n",
+ " 1999.16,778.207 1999.48,778.32 1999.81,778.422 2000.13,778.513 2000.45,778.593 2000.77,778.661 2001.09,778.718 2001.41,778.763 2001.74,778.796 2002.06,778.817 \n",
+ " 2002.38,778.827 2002.7,778.825 2003.02,778.811 2003.34,778.786 2003.67,778.748 2003.99,778.7 2004.31,778.64 2004.63,778.568 2004.95,778.486 2005.28,778.392 \n",
+ " 2005.6,778.288 2005.92,778.174 2006.24,778.049 2006.56,777.914 2006.88,777.77 2007.21,777.617 2007.53,777.454 2007.85,777.284 2008.17,777.105 2008.49,776.918 \n",
+ " 2008.81,776.724 2009.14,776.523 2009.46,776.315 2009.78,776.102 2010.1,775.883 2010.42,775.659 2010.74,775.43 2011.07,775.197 2011.39,774.961 2011.71,774.721 \n",
+ " 2012.03,774.479 2012.35,774.235 2012.68,773.99 2013,773.743 2013.32,773.497 2013.64,773.25 2013.96,773.004 2014.28,772.759 2014.61,772.515 2014.93,772.274 \n",
+ " 2015.25,772.036 2015.57,771.8 2015.89,771.569 2016.21,771.341 2016.54,771.119 2016.86,770.901 2017.18,770.689 2017.5,770.483 2017.82,770.284 2018.15,770.091 \n",
+ " 2018.47,769.906 2018.79,769.728 2019.11,769.559 2019.43,769.397 2019.75,769.245 2020.08,769.101 2020.4,768.967 2020.72,768.843 2021.04,768.728 2021.36,768.623 \n",
+ " 2021.68,768.529 2022.01,768.445 2022.33,768.371 2022.65,768.308 2022.97,768.257 2023.29,768.216 2023.61,768.186 2023.94,768.167 2024.26,768.16 2024.58,768.163 \n",
+ " 2024.9,768.177 2025.22,768.203 2025.55,768.239 2025.87,768.286 2026.19,768.344 2026.51,768.413 2026.83,768.491 2027.15,768.58 2027.48,768.679 2027.8,768.788 \n",
+ " 2028.12,768.907 2028.44,769.034 2028.76,769.171 2029.08,769.316 2029.41,769.469 2029.73,769.631 2030.05,769.8 2030.37,769.976 2030.69,770.159 2031.02,770.349 \n",
+ " 2031.34,770.544 2031.66,770.746 2031.98,770.952 2032.3,771.163 2032.62,771.378 2032.95,771.597 2033.27,771.82 2033.59,772.045 2033.91,772.272 2034.23,772.502 \n",
+ " 2034.55,772.732 2034.88,772.964 2035.2,773.196 2035.52,773.427 2035.84,773.658 2036.16,773.888 2036.48,774.117 2036.81,774.343 2037.13,774.566 2037.45,774.787 \n",
+ " 2037.77,775.004 2038.09,775.217 2038.42,775.425 2038.74,775.629 2039.06,775.828 2039.38,776.02 2039.7,776.207 2040.02,776.387 2040.35,776.56 2040.67,776.726 \n",
+ " 2040.99,776.884 2041.31,777.034 2041.63,777.176 2041.95,777.31 2042.28,777.435 2042.6,777.551 2042.92,777.657 2043.24,777.754 2043.56,777.842 2043.89,777.92 \n",
+ " 2044.21,777.987 2044.53,778.045 2044.85,778.092 2045.17,778.129 2045.49,778.156 2045.82,778.172 2046.14,778.178 2046.46,778.173 2046.78,778.159 2047.1,778.133 \n",
+ " 2047.42,778.098 2047.75,778.052 2048.07,777.997 2048.39,777.931 2048.71,777.856 2049.03,777.771 2049.35,777.677 2049.68,777.573 2050,777.461 2050.32,777.34 \n",
+ " 2050.64,777.211 2050.96,777.074 2051.29,776.929 2051.61,776.776 2051.93,776.616 2052.25,776.45 2052.57,776.277 2052.89,776.098 2053.22,775.914 2053.54,775.725 \n",
+ " 2053.86,775.53 2054.18,775.331 2054.5,775.129 2054.82,774.923 2055.15,774.713 2055.47,774.502 2055.79,774.288 2056.11,774.072 2056.43,773.855 2056.76,773.638 \n",
+ " 2057.08,773.42 2057.4,773.203 2057.72,772.986 2058.04,772.77 2058.36,772.556 2058.69,772.344 2059.01,772.134 2059.33,771.928 2059.65,771.724 2059.97,771.525 \n",
+ " 2060.29,771.329 2060.62,771.139 2060.94,770.953 2061.26,770.773 2061.58,770.599 2061.9,770.43 2062.22,770.269 2062.55,770.114 2062.87,769.966 2063.19,769.826 \n",
+ " 2063.51,769.693 2063.83,769.569 2064.16,769.453 2064.48,769.345 2064.8,769.246 2065.12,769.156 2065.44,769.075 2065.76,769.004 2066.09,768.941 2066.41,768.888 \n",
+ " 2066.73,768.845 2067.05,768.812 2067.37,768.788 2067.69,768.774 2068.02,768.77 2068.34,768.775 2068.66,768.79 2068.98,768.815 2069.3,768.85 2069.63,768.894 \n",
+ " 2069.95,768.947 2070.27,769.01 2070.59,769.082 2070.91,769.163 2071.23,769.252 2071.56,769.35 2071.88,769.457 2072.2,769.571 2072.52,769.694 2072.84,769.824 \n",
+ " 2073.16,769.961 2073.49,770.105 2073.81,770.256 2074.13,770.413 2074.45,770.576 2074.77,770.744 2075.09,770.918 2075.42,771.097 2075.74,771.28 2076.06,771.467 \n",
+ " 2076.38,771.658 2076.7,771.852 2077.03,772.049 2077.35,772.248 2077.67,772.449 2077.99,772.651 2078.31,772.855 2078.63,773.059 2078.96,773.264 2079.28,773.468 \n",
+ " 2079.6,773.672 2079.92,773.874 2080.24,774.075 2080.56,774.274 2080.89,774.47 2081.21,774.664 2081.53,774.855 2081.85,775.041 2082.17,775.224 2082.5,775.403 \n",
+ " 2082.82,775.576 2083.14,775.745 2083.46,775.908 2083.78,776.065 2084.1,776.216 2084.43,776.361 2084.75,776.499 2085.07,776.629 2085.39,776.753 2085.71,776.869 \n",
+ " 2086.03,776.977 2086.36,777.077 2086.68,777.169 2087,777.252 2087.32,777.327 2087.64,777.393 2087.96,777.451 2088.29,777.499 2088.61,777.538 2088.93,777.569 \n",
+ " 2089.25,777.59 2089.57,777.602 2089.9,777.605 2090.22,777.598 2090.54,777.583 2090.86,777.558 2091.18,777.525 2091.5,777.482 2091.83,777.431 2092.15,777.371 \n",
+ " 2092.47,777.302 2092.79,777.225 2093.11,777.14 2093.43,777.047 2093.76,776.946 2094.08,776.837 2094.4,776.722 2094.72,776.599 2095.04,776.469 2095.37,776.333 \n",
+ " 2095.69,776.191 2096.01,776.042 2096.33,775.889 2096.65,775.73 2096.97,775.566 2097.3,775.397 2097.62,775.225 2097.94,775.049 2098.26,774.869 2098.58,774.687 \n",
+ " 2098.9,774.502 2099.23,774.314 2099.55,774.125 2099.87,773.935 2100.19,773.744 2100.51,773.552 2100.83,773.36 2101.16,773.168 2101.48,772.977 2101.8,772.787 \n",
+ " 2102.12,772.598 2102.44,772.412 2102.77,772.228 2103.09,772.046 2103.41,771.868 2103.73,771.693 2104.05,771.521 2104.37,771.354 2104.7,771.192 2105.02,771.034 \n",
+ " 2105.34,770.882 2105.66,770.735 2105.98,770.594 2106.3,770.459 2106.63,770.33 2106.95,770.209 2107.27,770.093 2107.59,769.986 2107.91,769.885 2108.24,769.792 \n",
+ " 2108.56,769.707 2108.88,769.629 2109.2,769.56 2109.52,769.499 2109.84,769.446 2110.17,769.402 2110.49,769.366 2110.81,769.339 2111.13,769.32 2111.45,769.31 \n",
+ " 2111.77,769.308 2112.1,769.315 2112.42,769.331 2112.74,769.355 2113.06,769.388 2113.38,769.429 2113.7,769.478 2114.03,769.535 2114.35,769.601 2114.67,769.674 \n",
+ " 2114.99,769.755 2115.31,769.843 2115.64,769.939 2115.96,770.042 2116.28,770.152 2116.6,770.268 2116.92,770.391 2117.24,770.519 2117.57,770.654 2117.89,770.793 \n",
+ " 2118.21,770.939 2118.53,771.088 2118.85,771.243 2119.17,771.401 2119.5,771.564 2119.82,771.73 2120.14,771.899 2120.46,772.07 2120.78,772.245 2121.11,772.421 \n",
+ " 2121.43,772.598 2121.75,772.777 2122.07,772.957 2122.39,773.137 2122.71,773.318 2123.04,773.498 2123.36,773.677 2123.68,773.855 2124,774.032 2124.32,774.207 \n",
+ " 2124.64,774.38 2124.97,774.55 2125.29,774.717 2125.61,774.881 2125.93,775.041 2126.25,775.197 2126.57,775.349 2126.9,775.497 2127.22,775.639 2127.54,775.777 \n",
+ " 2127.86,775.908 2128.18,776.034 2128.51,776.154 2128.83,776.268 2129.15,776.375 2129.47,776.475 2129.79,776.569 2130.11,776.655 2130.44,776.735 2130.76,776.806 \n",
+ " 2131.08,776.87 2131.4,776.927 2131.72,776.975 2132.04,777.016 2132.37,777.049 2132.69,777.073 2133.01,777.09 2133.33,777.098 2133.65,777.099 2133.98,777.091 \n",
+ " 2134.3,777.075 2134.62,777.052 2134.94,777.02 2135.26,776.98 2135.58,776.933 2135.91,776.878 2136.23,776.816 2136.55,776.746 2136.87,776.669 2137.19,776.585 \n",
+ " 2137.51,776.494 2137.84,776.397 2138.16,776.293 2138.48,776.183 2138.8,776.067 2139.12,775.946 2139.44,775.819 2139.77,775.687 2140.09,775.55 2140.41,775.409 \n",
+ " 2140.73,775.263 2141.05,775.114 2141.38,774.961 2141.7,774.805 2142.02,774.646 2142.34,774.484 2142.66,774.32 2142.98,774.155 2143.31,773.988 2143.63,773.819 \n",
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+ ]
+ },
+ "execution_count": 313,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Plots.plot(t,u,label=\"Damped oscillation\",xlabel=\"Time (sec)\",ylabel=\"Displacement (m)\",title=\"Displacement-time history\")\n",
+ "Plots.plot!([0, tmax],[u_finish,u_finish],linestyle=:dash,lw=0.75,c=:red,label=\"\")\n",
+ "Plots.plot!([t_full, t_full],[u_start,-u_start],linestyle=:dash,lw=0.75,c=:red,label=\"\")\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "----"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Beam MetaVoxel vs FEM Vibration"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 618,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n",
+ "Success! Created structure with 41 nodes and 40 edges.\n",
+ "dt: 3.1483100054946376e-7, s: 0.024999999999999467, mass: 0.00675, momentInertiaInverse: 8.88888888888898e6\n",
+ "first timestep took 1.070483866 seconds\n",
+ "ran 41 nodes and 40 edges for 3000000 time steps took 2317.221062034 seconds\n"
+ ]
+ }
+ ],
+ "source": [
+ "simName= \"tutorial\" # set name for simulation\n",
+ "# get a saved setup from an external julia file\n",
+ "\n",
+ "include(\"../julia/examples/dynamicVal.jl\") #template slender beam vibration validation\n",
+ "\n",
+ "\n",
+ "## recompile these just for sanity check for dynamic loads\n",
+ "include(\"../julia/MetaVoxels.jl\") \n",
+ "\n",
+ "#export setup using nodejs and javascript from \"./json/$(simName)Init.json\" and save to \"./json/$(simName).json\"\n",
+ "exportJuliaSettingsUsingNode(setup,simName)\n",
+ "\n",
+ "setupSim=getSetup(simName); #get simulation from\"./json/$(simName).json\"\n",
+ "savedDataFolderPath=\"../json/$(simName)/\" # make sure this folder exists, this is where the simulation result will be saved\n",
+ "\n",
+ "setupSimFEA=getSetup(simName);\n",
+ "\n",
+ "runMetaVoxels!(setupSim,savedDataFolderPath,\"CPU\")\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 619,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
+ ]
+ },
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+ "output_type": "display_data"
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+ " 847.846,243.455 849.51,243.463 851.175,243.471 852.84,243.48 854.505,243.488 856.17,243.498 857.835,243.508 859.499,243.517 861.164,243.527 862.829,243.536 \n",
+ " 864.494,243.546 866.159,243.555 867.824,243.564 869.488,243.574 871.153,243.583 872.818,243.593 874.483,243.602 876.148,243.61 877.813,243.618 879.477,243.625 \n",
+ " 881.142,243.632 882.807,243.638 884.472,243.645 886.137,243.651 887.802,243.657 889.466,243.663 891.131,243.668 892.796,243.673 894.461,243.677 896.126,243.682 \n",
+ " 897.791,243.686 899.455,243.691 901.12,243.696 902.785,243.701 904.45,243.705 906.115,243.71 907.78,243.714 909.444,243.718 911.109,243.722 912.774,243.726 \n",
+ " 914.439,243.73 916.104,243.733 917.769,243.737 919.433,243.74 921.098,243.742 922.763,243.745 924.428,243.747 926.093,243.748 927.758,243.75 929.422,243.752 \n",
+ " 931.087,243.753 932.752,243.754 934.417,243.755 936.082,243.756 937.747,243.757 939.412,243.758 941.076,243.759 942.741,243.759 944.406,243.76 946.071,243.761 \n",
+ " 947.736,243.762 949.401,243.763 951.065,243.763 952.73,243.764 954.395,243.764 956.06,243.765 957.725,243.765 959.39,243.765 961.054,243.765 962.719,243.765 \n",
+ " 964.384,243.765 966.049,243.765 967.714,243.764 969.379,243.764 971.043,243.763 972.708,243.762 974.373,243.762 976.038,243.761 977.703,243.76 979.368,243.76 \n",
+ " 981.032,243.759 982.697,243.758 984.362,243.758 986.027,243.757 987.692,243.756 989.357,243.755 991.021,243.755 992.686,243.754 994.351,243.754 996.016,243.753 \n",
+ " 997.681,243.752 999.346,243.752 1001.01,243.751 1002.68,243.75 1004.34,243.749 1006,243.749 1007.67,243.748 1009.33,243.747 1011,243.746 1012.66,243.745 \n",
+ " 1014.33,243.744 1015.99,243.743 1017.66,243.742 1019.32,243.742 1020.99,243.741 1022.65,243.74 1024.32,243.739 1025.98,243.739 1027.65,243.738 1029.31,243.737 \n",
+ " 1030.98,243.736 1032.64,243.736 1034.31,243.735 1035.97,243.735 1037.64,243.734 1039.3,243.734 1040.97,243.733 1042.63,243.732 1044.3,243.732 1045.96,243.731 \n",
+ " 1047.63,243.731 1049.29,243.73 1050.96,243.73 1052.62,243.729 1054.29,243.729 1055.95,243.728 1057.61,243.728 1059.28,243.727 1060.94,243.727 1062.61,243.726 \n",
+ " 1064.27,243.726 1065.94,243.725 1067.6,243.725 1069.27,243.725 1070.93,243.724 1072.6,243.724 1074.26,243.724 1075.93,243.724 1077.59,243.723 1079.26,243.723 \n",
+ " 1080.92,243.723 1082.59,243.723 1084.25,243.723 1085.92,243.722 1087.58,243.722 1089.25,243.722 1090.91,243.722 1092.58,243.722 1094.24,243.722 1095.91,243.721 \n",
+ " 1097.57,243.721 1099.24,243.721 1100.9,243.721 1102.57,243.721 1104.23,243.721 1105.89,243.721 1107.56,243.721 1109.22,243.721 1110.89,243.72 1112.55,243.72 \n",
+ " 1114.22,243.72 1115.88,243.72 1117.55,243.72 1119.21,243.72 1120.88,243.72 1122.54,243.72 1124.21,243.72 1125.87,243.72 1127.54,243.721 1129.2,243.721 \n",
+ " 1130.87,243.721 1132.53,243.721 1134.2,243.721 1135.86,243.721 1137.53,243.721 1139.19,243.721 1140.86,243.721 1142.52,243.721 1144.19,243.721 1145.85,243.721 \n",
+ " 1147.52,243.721 1149.18,243.721 1150.85,243.721 1152.51,243.721 1154.18,243.721 1155.84,243.721 1157.5,243.721 1159.17,243.721 1160.83,243.721 1162.5,243.721 \n",
+ " 1164.16,243.721 1165.83,243.721 1167.49,243.722 1169.16,243.722 1170.82,243.722 1172.49,243.722 1174.15,243.722 1175.82,243.722 1177.48,243.722 1179.15,243.722 \n",
+ " 1180.81,243.722 1182.48,243.722 1184.14,243.722 1185.81,243.722 1187.47,243.722 1189.14,243.722 1190.8,243.722 1192.47,243.722 1194.13,243.722 1195.8,243.723 \n",
+ " 1197.46,243.723 1199.13,243.723 1200.79,243.723 1202.46,243.723 1204.12,243.723 1205.78,243.723 1207.45,243.723 1209.11,243.723 1210.78,243.723 1212.44,243.723 \n",
+ " 1214.11,243.723 1215.77,243.723 1217.44,243.723 1219.1,243.723 1220.77,243.723 1222.43,243.723 1224.1,243.723 1225.76,243.723 1227.43,243.723 1229.09,243.723 \n",
+ " 1230.76,243.723 1232.42,243.723 1234.09,243.723 1235.75,243.724 1237.42,243.724 1239.08,243.724 1240.75,243.724 1242.41,243.724 1244.08,243.724 1245.74,243.724 \n",
+ " 1247.41,243.724 1249.07,243.724 1250.74,243.724 1252.4,243.724 1254.07,243.724 1255.73,243.724 1257.39,243.724 1259.06,243.724 1260.72,243.724 1262.39,243.724 \n",
+ " 1264.05,243.724 1265.72,243.724 1267.38,243.724 1269.05,243.724 1270.71,243.724 1272.38,243.724 1274.04,243.724 1275.71,243.724 1277.37,243.724 1279.04,243.724 \n",
+ " 1280.7,243.724 1282.37,243.724 1284.03,243.724 1285.7,243.724 1287.36,243.724 1289.03,243.724 1290.69,243.724 1292.36,243.724 1294.02,243.724 1295.69,243.724 \n",
+ " 1297.35,243.724 1299.02,243.724 1300.68,243.724 1302.35,243.724 1304.01,243.724 1305.68,243.724 1307.34,243.724 1309,243.724 1310.67,243.724 1312.33,243.724 \n",
+ " 1314,243.724 1315.66,243.724 1317.33,243.724 1318.99,243.724 1320.66,243.724 1322.32,243.724 1323.99,243.724 1325.65,243.724 1327.32,243.724 1328.98,243.724 \n",
+ " 1330.65,243.724 1332.31,243.724 1333.98,243.724 1335.64,243.724 1337.31,243.724 1338.97,243.724 1340.64,243.724 1342.3,243.724 1343.97,243.724 1345.63,243.724 \n",
+ " 1347.3,243.724 1348.96,243.724 1350.63,243.724 1352.29,243.724 1353.96,243.724 1355.62,243.724 1357.28,243.724 1358.95,243.724 1360.61,243.724 1362.28,243.724 \n",
+ " 1363.94,243.724 1365.61,243.724 1367.27,243.724 1368.94,243.724 1370.6,243.724 1372.27,243.724 1373.93,243.724 1375.6,243.724 1377.26,243.724 1378.93,243.724 \n",
+ " 1380.59,243.724 1382.26,243.724 1383.92,243.724 1385.59,243.724 1387.25,243.724 1388.92,243.724 1390.58,243.724 1392.25,243.724 1393.91,243.724 1395.58,243.724 \n",
+ " 1397.24,243.724 1398.91,243.724 1400.57,243.724 1402.24,243.724 1403.9,243.724 1405.57,243.724 1407.23,243.724 1408.89,243.724 1410.56,243.724 1412.22,243.724 \n",
+ " 1413.89,243.724 1415.55,243.724 1417.22,243.724 1418.88,243.724 1420.55,243.724 1422.21,243.724 1423.88,243.724 1425.54,243.724 1427.21,243.724 1428.87,243.724 \n",
+ " 1430.54,243.724 1432.2,243.724 1433.87,243.724 1435.53,243.724 1437.2,243.724 1438.86,243.724 1440.53,243.724 1442.19,243.724 1443.86,243.724 1445.52,243.724 \n",
+ " 1447.19,243.724 1448.85,243.724 1450.52,243.724 1452.18,243.724 1453.85,243.724 1455.51,243.724 1457.17,243.724 1458.84,243.724 1460.5,243.724 1462.17,243.724 \n",
+ " 1463.83,243.724 1465.5,243.724 1467.16,243.724 1468.83,243.724 1470.49,243.724 1472.16,243.724 1473.82,243.724 1475.49,243.724 1477.15,243.724 1478.82,243.724 \n",
+ " 1480.48,243.724 1482.15,243.724 1483.81,243.724 1485.48,243.724 1487.14,243.724 1488.81,243.724 1490.47,243.724 1492.14,243.724 1493.8,243.724 1495.47,243.724 \n",
+ " 1497.13,243.724 1498.8,243.724 1500.46,243.724 1502.13,243.724 1503.79,243.724 1505.46,243.724 1507.12,243.724 1508.78,243.724 1510.45,243.724 1512.11,243.724 \n",
+ " 1513.78,243.724 1515.44,243.724 1517.11,243.724 1518.77,243.724 1520.44,243.724 1522.1,243.724 1523.77,243.724 1525.43,243.724 1527.1,243.724 1528.76,243.724 \n",
+ " 1530.43,243.724 1532.09,243.724 1533.76,243.724 1535.42,243.724 1537.09,243.724 1538.75,243.724 1540.42,243.724 1542.08,243.724 1543.75,243.724 1545.41,243.724 \n",
+ " 1547.08,243.724 1548.74,243.724 1550.41,243.724 1552.07,243.724 1553.74,243.724 1555.4,243.724 1557.07,243.724 1558.73,243.724 1560.39,243.724 1562.06,243.724 \n",
+ " 1563.72,243.724 1565.39,243.724 1567.05,243.724 1568.72,243.724 1570.38,243.724 1572.05,243.724 1573.71,243.724 1575.38,243.724 1577.04,243.724 1578.71,243.724 \n",
+ " 1580.37,243.724 1582.04,243.724 1583.7,243.724 1585.37,243.724 1587.03,243.724 1588.7,243.724 1590.36,243.724 1592.03,243.724 1593.69,243.724 1595.36,243.724 \n",
+ " 1597.02,243.724 1598.69,243.724 1600.35,243.724 1602.02,243.724 1603.68,243.724 1605.35,243.724 1607.01,243.724 1608.67,243.724 1610.34,243.724 1612,243.724 \n",
+ " 1613.67,243.724 1615.33,243.724 1617,243.724 1618.66,243.724 1620.33,243.724 1621.99,243.724 1623.66,243.724 1625.32,243.724 1626.99,243.724 1628.65,243.724 \n",
+ " 1630.32,243.724 1631.98,243.724 1633.65,243.724 1635.31,243.724 1636.98,243.724 1638.64,243.724 1640.31,243.724 1641.97,243.724 1643.64,243.724 1645.3,243.724 \n",
+ " 1646.97,243.724 1648.63,243.724 1650.3,243.724 1651.96,243.724 1653.63,243.724 1655.29,243.724 1656.96,243.724 1658.62,243.724 1660.28,243.724 1661.95,243.724 \n",
+ " 1663.61,243.724 1665.28,243.724 1666.94,243.724 1668.61,243.724 1670.27,243.724 1671.94,243.724 1673.6,243.724 1675.27,243.724 1676.93,243.724 1678.6,243.724 \n",
+ " 1680.26,243.724 1681.93,243.724 1683.59,243.724 1685.26,243.724 1686.92,243.724 1688.59,243.724 1690.25,243.724 1691.92,243.724 1693.58,243.724 1695.25,243.724 \n",
+ " 1696.91,243.724 1698.58,243.724 1700.24,243.724 1701.91,243.724 1703.57,243.724 1705.24,243.724 1706.9,243.724 1708.56,243.724 1710.23,243.724 1711.89,243.724 \n",
+ " 1713.56,243.724 1715.22,243.724 1716.89,243.724 1718.55,243.724 1720.22,243.724 1721.88,243.724 1723.55,243.724 1725.21,243.724 1726.88,243.724 1728.54,243.724 \n",
+ " 1730.21,243.724 1731.87,243.724 1733.54,243.724 1735.2,243.724 1736.87,243.724 1738.53,243.724 1740.2,243.724 1741.86,243.724 1743.53,243.724 1745.19,243.724 \n",
+ " 1746.86,243.724 1748.52,243.724 1750.19,243.724 1751.85,243.724 1753.52,243.724 1755.18,243.724 1756.85,243.724 1758.51,243.724 1760.17,243.724 1761.84,243.724 \n",
+ " 1763.5,243.724 1765.17,243.724 1766.83,243.724 1768.5,243.724 1770.16,243.724 1771.83,243.724 1773.49,243.724 1775.16,243.724 1776.82,243.724 1778.49,243.724 \n",
+ " 1780.15,243.724 1781.82,243.724 1783.48,243.724 1785.15,243.724 1786.81,243.724 1788.48,243.724 1790.14,243.724 1791.81,243.724 1793.47,243.724 1795.14,243.724 \n",
+ " 1796.8,243.724 1798.47,243.724 1800.13,243.724 1801.8,243.724 1803.46,243.724 1805.13,243.724 1806.79,243.724 1808.45,243.724 1810.12,243.724 1811.78,243.724 \n",
+ " 1813.45,243.724 1815.11,243.724 1816.78,243.724 1818.44,243.724 1820.11,243.724 1821.77,243.724 1823.44,243.724 1825.1,243.724 1826.77,243.724 1828.43,243.724 \n",
+ " 1830.1,243.724 1831.76,243.724 1833.43,243.724 1835.09,243.724 1836.76,243.724 1838.42,243.724 1840.09,243.724 1841.75,243.724 1843.42,243.724 1845.08,243.724 \n",
+ " 1846.75,243.724 1848.41,243.724 1850.08,243.724 1851.74,243.724 1853.41,243.724 1855.07,243.724 1856.74,243.724 1858.4,243.724 1860.06,243.724 1861.73,243.724 \n",
+ " 1863.39,243.724 1865.06,243.724 1866.72,243.724 1868.39,243.724 1870.05,243.724 1871.72,243.724 1873.38,243.724 1875.05,243.724 1876.71,243.724 1878.38,243.724 \n",
+ " 1880.04,243.724 1881.71,243.724 1883.37,243.724 1885.04,243.724 1886.7,243.724 1888.37,243.724 1890.03,243.724 1891.7,243.724 1893.36,243.724 1895.03,243.724 \n",
+ " 1896.69,243.724 1898.36,243.724 1900.02,243.724 1901.69,243.724 1903.35,243.724 1905.02,243.724 1906.68,243.724 1908.35,243.724 1910.01,243.724 1911.67,243.724 \n",
+ " 1913.34,243.724 1915,243.724 1916.67,243.724 1918.33,243.724 1920,243.724 1921.66,243.724 1923.33,243.724 1924.99,243.724 1926.66,243.724 1928.32,243.724 \n",
+ " 1929.99,243.724 1931.65,243.724 1933.32,243.724 1934.98,243.724 1936.65,243.724 1938.31,243.724 1939.98,243.724 1941.64,243.724 1943.31,243.724 1944.97,243.724 \n",
+ " 1946.64,243.724 1948.3,243.724 1949.97,243.724 1951.63,243.724 1953.3,243.724 1954.96,243.724 1956.63,243.724 1958.29,243.724 1959.95,243.724 1961.62,243.724 \n",
+ " 1963.28,243.724 1964.95,243.724 1966.61,243.724 1968.28,243.724 1969.94,243.724 1971.61,243.724 1973.27,243.724 1974.94,243.724 1976.6,243.724 1978.27,243.724 \n",
+ " 1979.93,243.724 1981.6,243.724 1983.26,243.724 1984.93,243.724 1986.59,243.724 1988.26,243.724 1989.92,243.724 1991.59,243.724 1993.25,243.724 1994.92,243.724 \n",
+ " 1996.58,243.724 1998.25,243.724 1999.91,243.724 2001.58,243.724 2003.24,243.724 2004.91,243.724 2006.57,243.724 2008.24,243.724 2009.9,243.724 2011.56,243.724 \n",
+ " 2013.23,243.724 2014.89,243.724 2016.56,243.724 2018.22,243.724 2019.89,243.724 2021.55,243.724 2023.22,243.724 2024.88,243.724 2026.55,243.724 2028.21,243.724 \n",
+ " 2029.88,243.724 2031.54,243.724 2033.21,243.724 2034.87,243.724 2036.54,243.724 2038.2,243.724 2039.87,243.724 2041.53,243.724 2043.2,243.724 2044.86,243.724 \n",
+ " 2046.53,243.724 2048.19,243.724 2049.86,243.724 2051.52,243.724 2053.19,243.724 2054.85,243.724 2056.52,243.724 2058.18,243.724 2059.84,243.724 2061.51,243.724 \n",
+ " 2063.17,243.724 2064.84,243.724 2066.5,243.724 2068.17,243.724 2069.83,243.724 2071.5,243.724 2073.16,243.724 2074.83,243.724 2076.49,243.724 2078.16,243.724 \n",
+ " 2079.82,243.724 2081.49,243.724 2083.15,243.724 2084.82,243.724 2086.48,243.724 2088.15,243.724 2089.81,243.724 2091.48,243.724 2093.14,243.724 2094.81,243.724 \n",
+ " 2096.47,243.724 2098.14,243.724 2099.8,243.724 2101.47,243.724 2103.13,243.724 2104.8,243.724 2106.46,243.724 2108.13,243.724 2109.79,243.724 2111.45,243.724 \n",
+ " 2113.12,243.724 2114.78,243.724 2116.45,243.724 2118.11,243.724 2119.78,243.724 2121.44,243.724 2123.11,243.724 2124.77,243.724 2126.44,243.724 2128.1,243.724 \n",
+ " 2129.77,243.724 2131.43,243.724 2133.1,243.724 2134.76,243.724 2136.43,243.724 2138.09,243.724 2139.76,243.724 2141.42,243.724 2143.09,243.724 2144.75,243.724 \n",
+ " 2146.42,243.724 2148.08,243.724 2149.75,243.724 2151.41,243.724 2153.08,243.724 2154.74,243.724 2156.41,243.724 2158.07,243.724 2159.74,243.724 2161.4,243.724 \n",
+ " 2163.06,243.724 2164.73,243.724 2166.39,243.724 2168.06,243.724 2169.72,243.724 2171.39,243.724 2173.05,243.724 2174.72,243.724 2176.38,243.724 2178.05,243.724 \n",
+ " 2179.71,243.724 2181.38,243.724 2183.04,243.724 2184.71,243.724 2186.37,243.724 2188.04,243.724 2189.7,243.724 2191.37,243.724 2193.03,243.724 2194.7,243.724 \n",
+ " 2196.36,243.724 2198.03,243.724 2199.69,243.724 2201.36,243.724 2203.02,243.724 2204.69,243.724 2206.35,243.724 2208.02,243.724 2209.68,243.724 2211.34,243.724 \n",
+ " 2213.01,243.724 2214.67,243.724 2216.34,243.724 2218,243.724 2219.67,243.724 2221.33,243.724 2223,243.724 2224.66,243.724 2226.33,243.724 2227.99,243.724 \n",
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+ " 1083.19,1324.13 1087.24,1324.93 1091.28,1325.74 1095.32,1326.53 1099.37,1327.33 1103.41,1328.11 1107.45,1328.9 1111.49,1329.68 1115.54,1330.45 1119.58,1331.22 \n",
+ " 1123.62,1331.98 1127.67,1332.75 1131.71,1333.5 1135.75,1334.25 1139.8,1335 1143.84,1335.75 1147.88,1336.48 1151.93,1337.22 1155.97,1337.95 1160.01,1338.68 \n",
+ " 1164.06,1339.4 1168.1,1340.12 1172.14,1340.84 1176.19,1341.55 1180.23,1342.26 1184.27,1342.96 1188.32,1343.67 1192.36,1344.36 1196.4,1345.06 1200.44,1345.75 \n",
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+ " 1285.35,1359.85 1289.4,1360.53 1293.44,1361.22 1297.48,1361.92 1301.52,1362.64 1305.57,1363.38 1309.61,1364.13 1313.65,1364.92 1317.7,1365.72 1321.74,1366.54 \n",
+ " 1325.78,1367.34 1329.83,1368.07 1333.87,1368.64 1337.91,1368.97 1341.96,1369.04 1346,1368.97 1350.04,1368.91 1354.09,1368.95 1358.13,1369.13 1362.17,1369.42 \n",
+ " 1366.22,1369.79 1370.26,1370.23 1374.3,1370.7 1378.35,1371.2 1382.39,1371.71 1386.43,1372.24 1390.48,1372.77 1394.52,1373.31 1398.56,1373.85 1402.6,1374.39 \n",
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+ " 1447.08,1380.22 1451.12,1380.71 1455.17,1381.19 1459.21,1381.64 1463.25,1382.07 1467.3,1382.5 1471.34,1382.93 1475.38,1383.37 1479.43,1383.82 1483.47,1384.28 \n",
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+ " 1527.94,1389.29 1531.99,1389.73 1536.03,1390.17 1540.07,1390.61 1544.12,1391.04 1548.16,1391.47 1552.2,1391.9 1556.25,1392.33 1560.29,1392.76 1564.33,1393.18 \n",
+ " 1568.38,1393.6 1572.42,1394.02 1576.46,1394.44 1580.51,1394.85 1584.55,1395.26 1588.59,1395.67 1592.63,1396.08 1596.68,1396.49 1600.72,1396.89 1604.76,1397.29 \n",
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+ " 1649.24,1401.59 1653.28,1401.98 1657.33,1402.36 1661.37,1402.73 1665.41,1403.11 1669.46,1403.47 1673.5,1403.82 1677.54,1404.16 1681.59,1404.5 1685.63,1404.84 \n",
+ " 1689.67,1405.19 1693.71,1405.53 1697.76,1405.88 1701.8,1406.22 1705.84,1406.57 1709.89,1406.92 1713.93,1407.26 1717.97,1407.6 1722.02,1407.94 1726.06,1408.28 \n",
+ " 1730.1,1408.62 1734.15,1408.95 1738.19,1409.29 1742.23,1409.62 1746.28,1409.95 1750.32,1410.28 1754.36,1410.61 1758.41,1410.93 1762.45,1411.26 1766.49,1411.58 \n",
+ " 1770.54,1411.9 1774.58,1412.22 1778.62,1412.53 1782.67,1412.85 1786.71,1413.16 1790.75,1413.47 1794.79,1413.77 1798.84,1414.08 1802.88,1414.39 1806.92,1414.69 \n",
+ " 1810.97,1414.99 1815.01,1415.29 1819.05,1415.59 1823.1,1415.88 1827.14,1416.18 1831.18,1416.47 1835.23,1416.76 1839.27,1417.06 1843.31,1417.34 1847.36,1417.63 \n",
+ " 1851.4,1417.92 1855.44,1418.2 1859.49,1418.48 1863.53,1418.77 1867.57,1419.05 1871.62,1419.32 1875.66,1419.6 1879.7,1419.88 1883.75,1420.15 1887.79,1420.43 \n",
+ " 1891.83,1420.7 1895.87,1420.97 1899.92,1421.24 1903.96,1421.51 1908,1421.78 1912.05,1422.05 1916.09,1422.31 1920.13,1422.58 1924.18,1422.84 1928.22,1423.1 \n",
+ " 1932.26,1423.35 1936.31,1423.61 1940.35,1423.86 1944.39,1424.11 1948.44,1424.37 1952.48,1424.62 1956.52,1424.88 1960.57,1425.14 1964.61,1425.39 1968.65,1425.65 \n",
+ " 1972.7,1425.91 1976.74,1426.17 1980.78,1426.44 1984.83,1426.71 1988.87,1426.98 1992.91,1427.26 1996.95,1427.55 2001,1427.86 2005.04,1428.18 2009.08,1428.52 \n",
+ " 2013.13,1428.88 2017.17,1429.27 2021.21,1429.68 2025.26,1430.08 2029.3,1430.42 2033.34,1430.64 2037.39,1430.72 2041.43,1430.68 2045.47,1430.61 2049.52,1430.55 \n",
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+ " 2093.99,1431.87 2098.03,1432.05 2102.08,1432.23 2106.12,1432.41 2110.16,1432.6 2114.21,1432.78 2118.25,1432.96 2122.29,1433.14 2126.34,1433.33 2130.38,1433.51 \n",
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+ " 2215.29,1436.96 2219.33,1437.1 2223.37,1437.25 2227.42,1437.39 2231.46,1437.54 2235.5,1437.68 2239.55,1437.82 2243.59,1437.96 2247.63,1438.1 2251.68,1438.24 \n",
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+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 40 element with 0.0001 damping \n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=2\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:400]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\",xlim=[0,500] )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 617,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "1.0"
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+ },
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+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 40 element with 0.01 damping \n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=2\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:400]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\",xlim=[0,500] )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 610,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "1.0"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
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+ {
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+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 1 element\n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=2\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:400]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\",xlim=[0,500] )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 606,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "1.0"
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+ "metadata": {},
+ "output_type": "display_data"
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+ " 1325.78,1352.47 1329.83,1352.66 1333.87,1352.75 1337.91,1352.26 1341.96,1354.29 1346,1354.51 1350.04,1356.32 1354.09,1354.8 1358.13,1356.94 1362.17,1355.64 \n",
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+ " 1447.08,1367.44 1451.12,1370.05 1455.17,1369.18 1459.21,1369.92 1463.25,1370.9 1467.3,1372.28 1471.34,1371.74 1475.38,1372.55 1479.43,1373.62 1483.47,1372.66 \n",
+ " 1487.51,1372.9 1491.56,1373.8 1495.6,1375.27 1499.64,1374.67 1503.68,1374.76 1507.73,1375.75 1511.77,1376.25 1515.81,1376.04 1519.86,1376.9 1523.9,1378.17 \n",
+ " 1527.94,1377.23 1531.99,1378.01 1536.03,1378.99 1540.07,1378.12 1544.12,1380.15 1548.16,1380.23 1552.2,1381.36 1556.25,1380.48 1560.29,1382.03 1564.33,1381.75 \n",
+ " 1568.38,1383.47 1572.42,1384.75 1576.46,1384.19 1580.51,1383.85 1584.55,1383.95 1588.59,1387.55 1592.63,1386.92 1596.68,1390.04 1600.72,1387.7 1604.76,1391.1 \n",
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+ " 1932.26,1413.64 1936.31,1413.4 1940.35,1413.96 1944.39,1413.87 1948.44,1413.93 1952.48,1414.75 1956.52,1421.06 1960.57,1408.78 1964.61,1414.56 1968.65,1414.53 \n",
+ " 1972.7,1416.06 1976.74,1415.28 1980.78,1417.11 1984.83,1420.32 1988.87,1410.56 1992.91,1417.25 1996.95,1414.86 2001,1417.68 2005.04,1416.65 2009.08,1417.89 \n",
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+ " \n",
+ " \"/>\n",
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+ " 1406.94,1445.72 1406.94,87.9763 \n",
+ " \"/>\n",
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+ " 2152.06,1445.72 2152.06,87.9763 \n",
+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 5 elements \n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=2\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:400]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\",xlim=[0,500] )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 604,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
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+ },
+ "metadata": {},
+ "output_type": "display_data"
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+ " \"/>\n",
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+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 10 elements \n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=2\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:400]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\",xlim=[0,500] )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 582,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ "1.0"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ " </clipPath>\n",
+ "</defs>\n",
+ "<path clip-path=\"url(#clip2600)\" d=\"\n",
+ "M0 1600 L2400 1600 L2400 0 L0 0 Z\n",
+ " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
+ "<defs>\n",
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+ " 274.553,87.9763 278.596,716.955 282.639,706.238 286.683,687.495 290.726,659.018 294.769,616.615 298.812,550.314 302.855,421.908 306.899,220.798 310.942,497.819 \n",
+ " 314.985,595.087 319.028,655.541 323.071,699.442 327.115,734.042 331.158,763.177 335.201,792.621 339.244,792.48 343.287,818.007 347.331,835.261 351.374,850.121 \n",
+ " 355.417,863.31 359.46,875.282 363.503,886.002 367.546,893.338 371.59,909.006 375.633,916.71 379.676,924.872 383.719,932.718 387.762,940.166 391.806,947.273 \n",
+ " 395.849,954.026 399.892,960.407 403.935,965.963 407.978,974.201 412.022,979.182 416.065,984.608 420.108,989.961 424.151,995.196 428.194,1000.37 432.238,1005.61 \n",
+ " 436.281,1013.23 440.324,1012.49 444.367,1018.09 448.41,1022.67 452.454,1027.38 456.497,1031.99 460.54,1036.42 464.583,1038.27 468.626,803.28 472.67,1017.47 \n",
+ " 476.713,1037.05 480.756,1044.92 484.799,1050.13 488.842,1054.42 492.886,1058.56 496.929,1062.93 500.972,1052.2 505.015,1066.71 509.058,1070.49 513.102,1073.58 \n",
+ " 517.145,1076.59 521.188,1079.4 525.231,1081.9 529.274,1083.22 533.318,1093.07 537.361,1092.28 541.404,1094.41 545.447,1096.77 549.49,1099.18 553.534,1101.59 \n",
+ " 557.577,1103.97 561.62,1106.24 565.663,1108.81 569.706,1111.05 573.75,1113.26 577.793,1115.52 581.836,1117.73 585.879,1119.91 589.922,1122.11 593.965,1124.09 \n",
+ " 598.009,1126.2 602.052,1128.24 606.095,1130.31 610.138,1132.3 614.181,1134.27 618.225,1136.2 622.268,1137.99 626.311,1139.95 630.354,1141.17 634.397,1144.57 \n",
+ " 638.441,1146.03 642.484,1147.77 646.527,1149.55 650.57,1151.34 654.613,1153.15 658.657,1154.99 662.7,1158.1 666.743,1157.79 670.786,1159.69 674.829,1161.44 \n",
+ " 678.873,1163.13 682.916,1164.8 686.959,1166.44 691.002,1168.08 695.045,1169.62 699.089,1171.3 703.132,1172.9 707.175,1174.47 711.218,1176.05 715.261,1177.61 \n",
+ " 719.305,1179.17 723.348,1180.7 727.391,1182.32 731.434,1183.83 735.477,1185.38 739.521,1186.93 743.564,1188.49 747.607,1190.09 751.65,1191.83 755.693,1192.01 \n",
+ " 759.737,1194.41 763.78,1196.14 767.823,1197.62 771.866,1199.21 775.909,1200.66 779.953,1201.64 783.996,1198.95 788.039,1218 792.082,1214.6 796.125,1216.63 \n",
+ " 800.169,1220.97 804.212,1227.3 808.255,1238.86 812.298,1269.39 816.341,1302.72 820.384,1129.82 824.428,1173.55 828.471,1187.5 832.514,1194.86 836.557,1199.69 \n",
+ " 840.6,1203.34 844.644,1206.54 848.687,1217.39 852.73,1209.07 856.773,1211.42 860.816,1213.4 864.86,1215.04 868.903,1216.58 872.946,1218.03 876.989,1219.41 \n",
+ " 881.032,1220.82 885.076,1222.05 889.119,1223.29 893.162,1224.5 897.205,1225.69 901.248,1226.84 905.292,1227.97 909.335,1229.06 913.378,1230.3 917.421,1231.31 \n",
+ " 921.464,1232.37 925.508,1233.41 929.551,1234.45 933.594,1235.47 937.637,1236.48 941.68,1237.48 945.724,1238.46 949.767,1239.44 953.81,1240.4 957.853,1241.36 \n",
+ " 961.896,1242.31 965.94,1243.25 969.983,1244.16 974.026,1245.08 978.069,1245.94 982.112,1247.09 986.156,1247.88 990.199,1248.76 994.242,1249.64 998.285,1250.52 \n",
+ " 1002.33,1251.42 1006.37,1252.33 1010.41,1253.46 1014.46,1253.64 1018.5,1254.66 1022.54,1255.53 1026.59,1256.38 1030.63,1257.21 1034.67,1258.03 1038.72,1258.84 \n",
+ " 1042.76,1259.52 1046.8,1260.51 1050.85,1261.29 1054.89,1262.08 1058.93,1262.87 1062.98,1263.65 1067.02,1264.43 1071.06,1265.2 1075.11,1265.96 1079.15,1266.73 \n",
+ " 1083.19,1267.49 1087.24,1268.24 1091.28,1268.99 1095.32,1269.73 1099.37,1270.47 1103.41,1271.2 1107.45,1271.93 1111.49,1272.63 1115.54,1273.45 1119.58,1274.13 \n",
+ " 1123.62,1274.84 1127.67,1275.55 1131.71,1276.26 1135.75,1276.97 1139.8,1277.68 1143.84,1278.48 1147.88,1278.95 1151.93,1279.68 1155.97,1280.38 1160.01,1281.06 \n",
+ " 1164.06,1281.74 1168.1,1282.43 1172.14,1283.1 1176.19,1283.69 1180.23,1284.45 1184.27,1285.11 1188.32,1285.77 1192.36,1286.43 1196.4,1287.08 1200.44,1287.74 \n",
+ " 1204.49,1288.39 1208.53,1289.05 1212.57,1289.7 1216.62,1290.35 1220.66,1290.99 1224.7,1291.64 1228.75,1292.29 1232.79,1292.93 1236.83,1293.58 1240.88,1294.23 \n",
+ " 1244.92,1294.88 1248.96,1295.55 1253.01,1296.38 1257.05,1296.77 1261.09,1297.46 1265.14,1298.14 1269.18,1298.81 1273.22,1299.49 1277.27,1300.35 1281.31,1300.91 \n",
+ " 1285.35,1301.79 1289.4,1302.41 1293.44,1303.16 1297.48,1303.92 1301.52,1304.7 1305.57,1305.07 1309.61,1309.04 1313.65,1308.99 1317.7,1310.36 1321.74,1312.32 \n",
+ " 1325.78,1315.21 1329.83,1320.47 1333.87,1331.93 1337.91,1403.77 1341.96,1253.62 1346,1286.27 1350.04,1294.79 1354.09,1299.02 1358.13,1301.85 1362.17,1303.29 \n",
+ " 1366.22,1305.68 1370.26,1314.32 1374.3,1304.2 1378.35,1306.36 1382.39,1307.55 1386.43,1308.46 1390.48,1309.24 1394.52,1310.14 1398.56,1310.74 1402.6,1310.7 \n",
+ " 1406.65,1312.1 1410.69,1312.71 1414.73,1313.32 1418.78,1313.84 1422.82,1314.4 1426.86,1315.04 1430.91,1316.73 1434.95,1315.89 1438.99,1316.48 1443.04,1317.05 \n",
+ " 1447.08,1318.05 1451.12,1317.74 1455.17,1318.26 1459.21,1318.53 1463.25,1322.13 1467.3,1320.21 1471.34,1320.56 1475.38,1320.98 1479.43,1321.4 1483.47,1321.83 \n",
+ " 1487.51,1322.24 1491.56,1322.54 1495.6,1323.63 1499.64,1323.78 1503.68,1324.17 1507.73,1324.58 1511.77,1325.11 1515.81,1325.45 1519.86,1325.89 1523.9,1326.43 \n",
+ " 1527.94,1326.56 1531.99,1327.06 1536.03,1327.45 1540.07,1327.88 1544.12,1328.3 1548.16,1328.71 1552.2,1329.11 1556.25,1329.5 1560.29,1329.92 1564.33,1330.31 \n",
+ " 1568.38,1330.72 1572.42,1331.1 1576.46,1331.49 1580.51,1331.88 1584.55,1332.27 1588.59,1332.65 1592.63,1333.03 1596.68,1333.41 1600.72,1333.79 1604.76,1334.16 \n",
+ " 1608.81,1334.54 1612.85,1334.92 1616.89,1335.29 1620.94,1335.66 1624.98,1336.01 1629.02,1336.4 1633.07,1336.77 1637.11,1337.17 1641.15,1337.66 1645.2,1337.68 \n",
+ " 1649.24,1338.16 1653.28,1338.55 1657.33,1338.98 1661.37,1339.37 1665.41,1339.84 1669.46,1340.5 1673.5,1343.84 1677.54,1339.24 1681.59,1340.25 1685.63,1340.78 \n",
+ " 1689.67,1341.2 1693.71,1341.58 1697.76,1341.94 1701.8,1342.29 1705.84,1342.45 1709.89,1342.97 1713.93,1343.3 1717.97,1343.63 1722.02,1343.95 1726.06,1344.27 \n",
+ " 1730.1,1344.59 1734.15,1344.9 1738.19,1345.23 1742.23,1345.53 1746.28,1345.84 1750.32,1346.15 1754.36,1346.45 1758.41,1346.76 1762.45,1347.06 1766.49,1347.37 \n",
+ " 1770.54,1347.68 1774.58,1348.01 1778.62,1348.59 1782.67,1348.38 1786.71,1348.75 1790.75,1349.06 1794.79,1349.35 1798.84,1349.64 1802.88,1349.92 1806.92,1350.17 \n",
+ " 1810.97,1350.55 1815.01,1350.91 1819.05,1351.01 1823.1,1351.31 1827.14,1351.59 1831.18,1351.87 1835.23,1352.15 1839.27,1352.53 1843.31,1352.69 1847.36,1352.94 \n",
+ " 1851.4,1353.2 1855.44,1353.47 1859.49,1353.74 1863.53,1354 1867.57,1354.27 1871.62,1354.48 1875.66,1354.76 1879.7,1355.02 1883.75,1355.28 1887.79,1355.53 \n",
+ " 1891.83,1355.78 1895.87,1356.02 1899.92,1356.27 1903.96,1356.52 1908,1356.77 1912.05,1357 1916.09,1357.24 1920.13,1357.46 1924.18,1357.64 1928.22,1358.4 \n",
+ " 1932.26,1358.32 1936.31,1358.53 1940.35,1358.75 1944.39,1358.99 1948.44,1359.22 1952.48,1359.47 1956.52,1359.69 1960.57,1359.92 1964.61,1360.18 1968.65,1360.48 \n",
+ " 1972.7,1360.48 1976.74,1360.8 1980.78,1361.05 1984.83,1361.27 1988.87,1361.49 1992.91,1361.66 1996.95,1361.65 2001,1359.92 2005.04,1364.54 2009.08,1364.03 \n",
+ " 2013.13,1364.28 2017.17,1364.78 2021.21,1365.59 2025.26,1367.04 2029.3,1370.86 2033.34,1445.72 2037.39,1354.07 2041.43,1359.23 2045.47,1360.95 2049.52,1361.86 \n",
+ " 2053.56,1362.45 2057.6,1362.86 2061.65,1363.04 2065.69,1367.97 2069.73,1364.42 2073.78,1364.53 2077.82,1364.73 2081.86,1364.94 2085.9,1365.16 2089.95,1365.38 \n",
+ " 2093.99,1365.61 2098.03,1365.65 2102.08,1365.94 2106.12,1366.14 2110.16,1366.33 2114.21,1366.52 2118.25,1366.71 2122.29,1366.88 2126.34,1367.05 2130.38,1367.27 \n",
+ " 2134.42,1367.43 2138.47,1367.6 2142.51,1367.77 2146.55,1367.92 2150.6,1368.09 2154.64,1368.24 2158.68,1368.41 2162.73,1368.56 2166.77,1368.71 2170.81,1368.85 \n",
+ " 2174.86,1368.96 2178.9,1369.08 2182.94,1369.06 2186.98,1371.77 2191.03,1369.94 2195.07,1369.97 2199.11,1370.07 2203.16,1370.19 2207.2,1370.33 2211.24,1370.46 \n",
+ " 2215.29,1370.59 2219.33,1370.74 2223.37,1370.87 2227.42,1371.02 2231.46,1371.12 2235.5,1371.26 2239.55,1371.42 2243.59,1371.5 2247.63,1371.64 2251.68,1371.77 \n",
+ " 2255.72,1371.9 2259.76,1372.01 2263.81,1372.14 2267.85,1372.27 2271.89,1372.39 2275.94,1372.51 2279.98,1372.63 2284.02,1372.74 2288.06,1372.86 2292.11,1372.97 \n",
+ " 2296.15,1373.08 2300.19,1373.2 2304.24,1373.31 2308.28,1373.42 2312.32,1373.52 2316.37,1373.63 2320.41,1373.74 2324.45,1373.84 2328.5,1373.95 2332.54,1374.05 \n",
+ " 2336.58,1374.14 2340.63,1374.25 2344.67,1374.34 2348.71,1374.44 2352.76,1374.53 2356.8,1374.63 2360.84,1374.72 2364.89,1374.81 2368.93,1374.89 2372.97,1374.98 \n",
+ " 2377.02,1375.07 2381.06,1375.15 2385.1,1375.23 2389.14,1375.31 2393.19,1375.39 2397.23,1375.47 2401.27,1375.52 2405.32,1375.65 2409.36,1375.7 2413.4,1375.77 \n",
+ " 2417.45,1375.83 2421.49,1375.89 2425.53,1375.95 2429.58,1375.99 2433.62,1375.78 2437.66,1376.2 2441.71,1376.21 2445.75,1376.24 2449.79,1376.29 2453.84,1376.29 \n",
+ " 2457.88,1376.28 2461.92,1376.22 2465.97,1379.55 2470.01,1376.54 2474.05,1376.42 2478.09,1376.3 2482.14,1376.1 2486.18,1375.73 2490.22,1374.88 2494.27,1371.45 \n",
+ " 2498.31,1391.19 2502.35,1380.67 2506.4,1379.36 2510.44,1378.86 2514.48,1378.61 2518.53,1378.47 2522.57,1378.37 2526.61,1378.22 2530.66,1378.51 2534.7,1378.41 \n",
+ " 2538.74,1378.39 2542.79,1378.4 2546.83,1378.39 2550.87,1378.42 2554.92,1378.46 2558.96,1378.64 2563,1378.36 2567.05,1378.43 2571.09,1378.46 2575.13,1378.5 \n",
+ " 2579.17,1378.52 2583.22,1378.54 2587.26,1378.57 2591.3,1378.58 2595.35,1378.62 2599.39,1378.64 2603.43,1378.66 2607.48,1378.66 2611.52,1378.7 2615.56,1378.72 \n",
+ " 2619.61,1378.73 2623.65,1378.75 2627.69,1378.77 2631.74,1378.78 2635.78,1378.81 2639.82,1378.82 2643.87,1378.83 2647.91,1378.85 2651.95,1378.86 2656,1378.87 \n",
+ " 2660.04,1378.84 2664.08,1378.91 2668.13,1378.9 2672.17,1378.88 2676.21,1378.91 2680.25,1378.91 2684.3,1378.9 2688.34,1378.9 2692.38,1378.98 2696.43,1378.9 \n",
+ " \n",
+ " \"/>\n",
+ "<polyline clip-path=\"url(#clip3002)\" style=\"stroke:#ff0000; stroke-width:3; stroke-opacity:1; fill:none\" stroke-dasharray=\"12, 8\" points=\"\n",
+ " 303.528,1445.72 303.528,87.9763 \n",
+ " \"/>\n",
+ "<polyline clip-path=\"url(#clip3002)\" style=\"stroke:#ff0000; stroke-width:3; stroke-opacity:1; fill:none\" stroke-dasharray=\"12, 8\" points=\"\n",
+ " 477.435,1445.72 477.435,87.9763 \n",
+ " \"/>\n",
+ "<polyline clip-path=\"url(#clip3002)\" style=\"stroke:#ff0000; stroke-width:3; stroke-opacity:1; fill:none\" stroke-dasharray=\"12, 8\" points=\"\n",
+ " 850.036,1445.72 850.036,87.9763 \n",
+ " \"/>\n",
+ "<polyline clip-path=\"url(#clip3002)\" style=\"stroke:#ff0000; stroke-width:3; stroke-opacity:1; fill:none\" stroke-dasharray=\"12, 8\" points=\"\n",
+ " 1406.94,1445.72 1406.94,87.9763 \n",
+ " \"/>\n",
+ "<polyline clip-path=\"url(#clip3002)\" style=\"stroke:#ff0000; stroke-width:3; stroke-opacity:1; fill:none\" stroke-dasharray=\"12, 8\" points=\"\n",
+ " 2152.06,1445.72 2152.06,87.9763 \n",
+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 40 elements critical damping or no damping\n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=1\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "# disX=disXs[1:500]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "# display(Plots.plot(disX))\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "Plots.plot(ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log,xlim=[0,500])\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 565,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
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+ " 1760.23,1007.31 1761.91,962.155 1763.58,933.092 1765.26,910.836 1766.93,903.049 1768.6,914.639 1770.28,946.269 1771.95,972.52 1773.63,979.933 1775.3,973.889 \n",
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+ " 1793.71,932.625 1795.39,921.947 1797.06,912.628 1798.74,882.378 1800.41,821.193 1802.09,748.857 1803.76,693.651 1805.43,653.303 1807.11,625.853 1808.78,614.624 \n",
+ " 1810.46,617.846 1812.13,628.517 1813.8,629.549 1815.48,605.552 1817.15,560.388 1818.83,525.048 1820.5,528.328 1822.17,541.041 1823.85,535.201 1825.52,509.458 \n",
+ " 1827.2,473.98 1828.87,441.146 1830.54,445.231 1832.22,485.129 1833.89,531.257 1835.57,563.301 1837.24,578.111 1838.91,576.915 1840.59,558.055 1842.26,526.564 \n",
+ " 1843.94,498.096 1845.61,481.719 1847.29,475.586 1848.96,478.473 1850.63,472.806 1852.31,440.408 1853.98,387.751 1855.66,366.01 1857.33,384.507 1859,397.607 \n",
+ " 1860.68,409.697 1862.35,415.614 1864.03,416.77 1865.7,418.125 1867.37,425.132 1869.05,433.726 1870.72,433.201 1872.4,446.418 1874.07,454.62 1875.74,435.864 \n",
+ " 1877.42,407.101 1879.09,408.857 1880.77,425.688 1882.44,422.016 1884.12,415.263 1885.79,440.892 1887.46,507.813 1889.14,567.522 1890.81,612.75 1892.49,647.61 \n",
+ " 1894.16,675.775 1895.83,696.609 1897.51,699.498 1899.18,688.689 1900.86,663.541 1902.53,613.517 1904.2,566.077 1905.88,533.385 1907.55,515.878 1909.23,525.211 \n",
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+ ],
+ "source": [
+ "## 4 elements no damping\n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=1\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disXs=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "disX=disXs[1:500]\n",
+ "disX=disXs[1:end]\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))\n",
+ "ft=abs.(fft(Float64.(disX) ))\n",
+ "\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "\n",
+ "fmax = 1 / setupSim[\"dt\"]\n",
+ "f = LinRange(0, fmax, length(ft))\n",
+ "\n",
+ "Plots.plot(f[1:Int(round(length(disX)/2))],ft[1:Int(round(length(disX)/2))],label=\"\" )\n",
+ "\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log,xlim=[0,500])\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 504,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Loaded MetaVoxels Functions!\n",
+ "Success! Created structure with 41 nodes and 40 edges.\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "120-element Array{Float64,1}:\n",
+ " 505.5426614489184\n",
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+ " 4562.484880260718\n",
+ " 5583.983527913426\n",
+ " â‹®\n",
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+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "FEA took 0.552572924 seconds\n"
+ ]
+ }
+ ],
+ "source": [
+ "include(\"../julia/MetaVoxels.jl\")\n",
+ "exportJuliaSettingsUsingNode(setup,simName)\n",
+ "setupSimFEA=getSetup(simName);\n",
+ "t=@timed setupSimFEA=solveFea(setupSimFEA);\n",
+ "time=t[2]\n",
+ "println(\"FEA took $time seconds\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 499,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "2"
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+ " 1242.26,1304.18 1245.66,1303.78 1249.05,1304.41 1252.45,1304.72 1255.85,1308.91 1259.24,1306.63 1262.64,1307.02 1266.04,1307.47 1269.43,1307.93 1272.83,1308.43 \n",
+ " 1276.22,1308.88 1279.62,1309.22 1283.02,1310.4 1286.41,1310.59 1289.81,1311.03 1293.21,1311.51 1296.6,1312.08 1300,1312.32 1303.4,1312.87 1306.79,1313.49 \n",
+ " 1310.19,1313.64 1313.58,1314.2 1316.98,1314.64 1320.38,1315.11 1323.77,1315.57 1327.17,1316.03 1330.57,1316.48 1333.96,1316.91 1337.36,1317.38 1340.75,1317.81 \n",
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+ " 1378.11,1322.5 1381.51,1322.92 1384.91,1323.33 1388.3,1323.74 1391.7,1324.13 1395.1,1324.57 1398.49,1324.98 1401.89,1325.42 1405.28,1325.97 1408.68,1325.98 \n",
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+ " \n",
+ " \"/>\n",
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+ " \"/>\n",
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+ " 1834.45,1445.72 1834.45,87.9763 \n",
+ " \"/>\n",
+ "</svg>\n"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## 40 elements\n",
+ "\n",
+ "#get last node\n",
+ "id=1\n",
+ "for (i,node) in enumerate(setupSim[\"nodes\"])\n",
+ " if node[\"position\"][\"y\"]/setupSim[\"scale\"]==1\n",
+ " id=i\n",
+ " end\n",
+ "end\n",
+ "display(id)\n",
+ "# id=1\n",
+ "\n",
+ "display(setupSim[\"nodes\"][id][\"position\"][\"y\"]/setupSim[\"scale\"])\n",
+ "disX=plotDisplacementTroughTimeSteps(simName,id,\"x\");\n",
+ "\n",
+ "\n",
+ "maxNumFiles=setupSim[\"maxNumFiles\"]\n",
+ "numTimeSteps=setupSim[\"numTimeSteps\"]\n",
+ "x=(1:maxNumFiles).*floor(numTimeSteps/maxNumFiles)\n",
+ "x=x.*setupSim[\"dt\"]\n",
+ "\n",
+ "\n",
+ "ft=abs.(fft(Float64.(disX .-mean(disX)) ))[1:Int(round(length(disX)/2))]\n",
+ "# ft=real.(fft(Float64.(disX) ))[1:end]\n",
+ "ft[1]=ft[2]\n",
+ "\n",
+ "Plots.plot(ft,label=\"\" )\n",
+ "an = [8.17, 51.2, 143]\n",
+ "an=[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084]#, 697.1643855906246, 978.1554629736119]\n",
+ "for a in an\n",
+ " Plots.plot!([a, a],[minimum(ft),maximum(ft)],linestyle=:dash,lw=0.75,c=:red,label=\"\", yaxis=:log)\n",
+ "end\n",
+ "display(Plots.plot!())\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 484,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "\"Exat Frequencies [8.166219296054413, 51.17822587842974, 143.29670987163513]\""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[8.166261741813996, 51.178738868739394, 143.33369238238393, 281.0729303113941, 465.3614573477084, 697.1643855906246, 978.1554629736119, 1310.458670538494, 1694.4067714913876, 2106.3920595628183, 2803.514375083497, 3386.9985635408957, 4105.8297716564175, 4955.46259069976, 5954.718688329792, 7121.889361908151, 8452.57834207649, 9867.982918076517, 11112.443963397101, 13907.09302711687]"
+ ]
+ }
+ ],
+ "source": [
+ "function beam(num_elems)\n",
+ "\n",
+ " #restrained_dofs = [2*(num_elems+1)-1,1] # simply supported\n",
+ " restrained_dofs = [2,1] # cantilever\n",
+ " #restrained_dofs = [2*(num_elems+1)-1,2,1] # built in - pinned beam\n",
+ " #restrained_dofs = [2*(num_elems+1),2*(num_elems+1)-1,2,1] # fixed-fixed\n",
+ " \n",
+ " l= 1.0 / num_elems\n",
+ " Cm = 1.0 # rho.A\n",
+ " Ck= 1.0 #E.I\n",
+ " \n",
+ " \n",
+ " L = 1 #m\n",
+ " l= L / num_elems\n",
+ " w = h = 0.01 #m\n",
+ " A = w*h #m^2\n",
+ " Iyy = w*h^3/12\n",
+ " Ixx = w*h^3/12 #m^4\n",
+ " Izz = 0.01^4/6 #m^4\n",
+ " E = 6.9e10 #N/m^2\n",
+ " nu = 0.33\n",
+ " rho = 2700 #kg/m^3\n",
+ " m = 2.7 #kg/m\n",
+ " \n",
+ " Cm = rho*A\n",
+ " Ck= E*Ixx\n",
+ " an2= [3.516, 22.035, 61.697] \n",
+ " EI=1\n",
+ " ML4=1\n",
+ "\n",
+ " EI=Ck\n",
+ " ML4=Cm\n",
+ " wn = an2 * sqrt(EI/(ML4))/pi/2\n",
+ " display(\"Exat Frequencies $wn\")\n",
+ " \n",
+ " m = [[156 22*l 54 -13*l];[22*l 4*l*l 13*l -3*l*l];[54 13*l 156 -22*l];[-13*l -3*l*l -22*l 4*l*l]] * Cm * l / 420\n",
+ " k = [[12 6*l -12 6*l];[6*l 4*l*l -6*l 2*l*l];[-12 -6*l 12 -6*l];[6*l 2*l*l -6*l 4*l*l]] * Ck / l^3\n",
+ " \n",
+ " \n",
+ " M= zeros((2*num_elems+2,2*num_elems+2))\n",
+ " K= zeros((2*num_elems+2,2*num_elems+2))\n",
+ " \n",
+ " \n",
+ " for i in 1:num_elems\n",
+ " M_temp= zeros((2*num_elems+2,2*num_elems+2))\n",
+ " K_temp= zeros((2*num_elems+2,2*num_elems+2))\n",
+ " \n",
+ " first_node = 2*(i-1)\n",
+ " \n",
+ " M_temp[first_node+1 : first_node+4, first_node+1:first_node+4] = m\n",
+ " K_temp[first_node+1 : first_node+4, first_node+1:first_node+4] = k\n",
+ "\n",
+ "\n",
+ " M +=M_temp\n",
+ " K +=K_temp\n",
+ " end\n",
+ " \n",
+ "\n",
+ " \n",
+ " for dof in restrained_dofs\n",
+ " M = M[setdiff(1:end, dof), :]\n",
+ " K = K[setdiff(1:end, dof), :]\n",
+ "\n",
+ " M = M[:,setdiff(1:end, dof)]\n",
+ " K = K[:,setdiff(1:end, dof)]\n",
+ "\n",
+ " end\n",
+ "\n",
+ " \n",
+ " \n",
+ " evals=eigvals(K,M)\n",
+ " evecs=eigvecs(K,M)\n",
+ " frequencies=sqrt.(evals)./pi/2\n",
+ " \n",
+ " return M, K, frequencies, evecs\n",
+ " \n",
+ "end\n",
+ "\n",
+ "M, K, frequencies, evecs= beam(10)\n",
+ "K\n",
+ "print(frequencies)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Julia 1.5.3",
+ "language": "julia",
+ "name": "julia-1.5"
+ },
+ "language_info": {
+ "file_extension": ".jl",
+ "mimetype": "application/julia",
+ "name": "julia",
+ "version": "1.5.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/jupyter/Validation and Convergence.ipynb b/jupyter/Validation and Convergence.ipynb
index 95c2a9a..40eeace 100644
--- a/jupyter/Validation and Convergence.ipynb
+++ b/jupyter/Validation and Convergence.ipynb
@@ -9748,7 +9748,7 @@
"lastKernelId": null
},
"kernelspec": {
- "display_name": "Julia 1.5.2",
+ "display_name": "Julia 1.5.3",
"language": "julia",
"name": "julia-1.5"
},
@@ -9756,7 +9756,7 @@
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
- "version": "1.5.2"
+ "version": "1.5.3"
}
},
"nbformat": 4,
--
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