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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Microstructure Optimization"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"using LinearAlgebra\n",
"using Plots\n",
"import JSON\n",
"using SparseArrays\n",
"using Images\n",
"using StaticArrays, BenchmarkTools\n",
"using VectorizedRoutines\n",
"using NLopt\n",
"using Statistics"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"getIndex3d (generic function with 2 methods)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"./julia/FEM.jl\")\n",
"include(\"./julia/data_FEM.jl\")\n",
"include(\"./julia/MBB.jl\")\n",
"include(\"./julia/topologyOptimization.jl\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"densityOptimization (generic function with 3 methods)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function densityOptimization(data_FEM,nelx,nely,totalVolFactor,maxEval,SIMP,sensitivity,p=3,rmin=1.5)\n",
"\n",
" problem=data_FEM(nelx,nely)\n",
" E,f,g,idb,ien,iplane,ndf,nel,nen,nnp,nsd,snu,t,xn,Ke=problem;\n",
" ρ=ones(nel);\n",
" K,F,d,de,Fe=FEM(problem,ρ);\n",
" debug=false\n",
" if debug\n",
" display(\"Degrees of freedom\")\n",
" display(heatmap(reshape(idb,2,nelx+1,nely+1)[1,:,:]',c=:YlGnBu,aspect_ratio=:equal))\n",
" display(heatmap(reshape(idb,2,nelx+1,nely+1)[2,:,:]',c=:YlGnBu,aspect_ratio=:equal))\n",
" display(\"Forces\")\n",
" display(heatmap(reshape(f,2,nelx+1,nely+1)[1,:,:]',c=:YlGnBu,aspect_ratio=:equal))\n",
" display(heatmap(reshape(f,2,nelx+1,nely+1)[2,:,:]',c=:YlGnBu,aspect_ratio=:equal))\n",
" display(\"Initial forces\")\n",
" dd=zeros(length(idb[:]))\n",
" dd[Bool.(abs.(idb[:] .-1))]=d\n",
" display(heatmap(reshape(dd,2,nelx+1,nely+1)[1,:,:]',c=:YlGnBu))\n",
" display(heatmap(reshape(dd,2,nelx+1,nely+1)[2,:,:]',c=:YlGnBu))\n",
" end\n",
" \n",
" if !SIMP\n",
" X=optimizeDensity(problem,totalVolFactor,maxEval);\n",
" else\n",
" if sensitivity\n",
" X=optimizeDensitySIMPSensitivity(problem,nelx,nely,totalVolFactor,maxEval,p,rmin)\n",
" else\n",
" X=optimizeDensitySIMP(problem,totalVolFactor,maxEval,p);\n",
" end\n",
" end\n",
" display(heatmap(reshape(X,nelx,nely)',c=:YlGnBu,aspect_ratio=:equal))\n",
" return X\n",
" \n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\"Minimum compliance problem with OC\""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"\"ndes: 90 x 30\""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"\"volfrac: 0.5 rmin: 1.5 penal: 3\""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"\" It:1 Obj:1018.7549500315454 Vol:0.5000274820973205 ch:0.2 \""
]
},
"metadata": {},
"output_type": "display_data"
},
{
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