{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Voxel Designer - Truss Elements" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "┌ Info: Precompiling Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n", "└ @ Base loading.jl:1278\n", "┌ Info: Precompiling NLopt [76087f3c-5699-56af-9a33-bf431cd00edd]\n", "└ @ Base loading.jl:1278\n" ] } ], "source": [ "using Plots\n", "using LinearAlgebra\n", "using NLopt\n", "import JSON\n", "using SparseArrays\n", "using StaticArrays, BenchmarkTools\n", "using Statistics" ] }, { "cell_type": "code", "execution_count": 286, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "simulateAndExport (generic function with 1 method)" ] }, "execution_count": 286, "metadata": {}, "output_type": "execute_result" } ], "source": [ "include(\"./julia/FEM_truss.jl\")\n", "include(\"./julia/compliant_mechanisms.jl\")" ] }, { "cell_type": "code", "execution_count": 287, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "complianMechanismOptimization (generic function with 6 methods)" ] }, "execution_count": 287, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function complianMechanismOptimization(fileName,scale,dmax,amax,maxeval=500,SIMP=false,threshold=0.25,exageration=100.0,save=true)\n", " \n", " setup = getSetup(\"json/$(fileName)\")\n", " E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te,Ls=getDataFromSetup3D(setup,scale);\n", " problem=E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te;\n", " \n", " ##todo change based on hinge\n", "# free=map(node -> !node[\"restrained_degrees_of_freedom\"][1], setup[\"nodes\"])\n", " free=map(node ->map(deg -> !deg, node[\"restrained_degrees_of_freedom\"]), setup[\"nodes\"])\n", " free=reshape(collect(Iterators.flatten(free)),(6,size(Ls[1])[2]))[1:3,:]\n", "\n", " nel=length(setup[\"edges\"])\n", " X=ones(nel)\n", " K,F,d,stress,dcomp,g=FEM_truss(problem,X);\n", " display(\"Original Domain:\")\n", " display(plotTruss3D(problem,X,1.0))\n", " display(\"Optimization Details:\")\n", " \n", " X=optimizeCompliantMechanism(problem,Ls,free,dmax,amax,maxeval,SIMP)\n", " display(plotTruss3D(problem,X,1.0))\n", " display(\"Final Design:\")\n", " display(\"max:$(maximum(X)), min:$(minimum(X))\")\n", " display(plotTrussDeformed3D(problem,copy(X),scale,threshold,exageration))\n", " \n", " if(save)\n", " K,F,d,stress,dcomp,g=FEM_truss(problem,X);\n", " simulateAndExport(setup,X,dcomp,\"json/result_$(fileName)\",threshold)\n", " end\n", "\n", " return X\n", " \n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regular/positive Poisson" ] }, { "cell_type": "code", "execution_count": 290, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"Original Domain:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip8600\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip8600)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip8601\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip8602\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip8602)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip8600)\" style=\"stroke:#000000; 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stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n", " 1700.95,267.22 1656.53,398.23 \n", " \"/>\n", "</svg>\n" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1\n", " 0.074823 seconds (301.80 k allocations: 53.121 MiB, 20.26% gc time)\n" ] } ], "source": [ "fileName=\"compliant_symmetry.json\"\n", "scale=1\n", "dmax=-1\n", "maxeval=500\n", "threshold=0.9\n", "exageration=0.0001\n", "amax=1.0\n", "SIMP=false\n", "X=complianMechanismOptimization(fileName,scale,dmax,amax,maxeval,SIMP,threshold,exageration);\n" ] }, { "cell_type": "code", "execution_count": 291, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5102" ] }, "execution_count": 291, "metadata": {}, "output_type": "execute_result" } ], "source": [ "threshold=0.8\n", "setup = getSetup(\"json/$fileName\")\n", "E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te,Ls=getDataFromSetup3D(setup,scale);\n", "problem=E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te;\n", "# display(plotTrussDeformed3D(problem,copy(X),scale,threshold,exageration))\n", "K,F,d,stress,dcomp,g=FEM_truss(problem,X);\n", "simulateAndExport(setup,X,dcomp,\"json/result_$(fileName)\",threshold)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Auxetic" ] }, { "cell_type": "code", "execution_count": 292, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"Original Domain:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip9800\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip9800)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip9801\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip9802\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip9802)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip9800)\" style=\"stroke:#000000; 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stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1269.4,403.127 1219.87,518.672 \n", " \"/>\n", "<polyline clip-path=\"url(#clip9802)\" style=\"stroke:#2700d7; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1660.6,279.929 2051.79,156.732 \n", " \"/>\n", "<polyline clip-path=\"url(#clip9802)\" style=\"stroke:#3700c7; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1660.6,279.929 2051.79,422.186 \n", " \"/>\n", "<polyline clip-path=\"url(#clip9802)\" style=\"stroke:#0500f9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1660.6,279.929 1611.07,130.02 \n", " \"/>\n", "<polyline clip-path=\"url(#clip9802)\" style=\"stroke:#2a00d4; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1660.6,279.929 1611.07,395.474 \n", " \"/>\n", "</svg>\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"Optimization Details:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(108.99682922158031, [1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6, 1.0e-6 … 1.0e-6, 1.0e-6, 1.0, 1.0, 1.0, 1.0e-6, 1.0e-6, 1.0e-6, 1.0, 1.0e-6], :XTOL_REACHED)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"got 108.99682922158031 after 15 iterations (returned XTOL_REACHED)\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip0200\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip0200)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip0201\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip0202\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip0202)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip0200)\" style=\"stroke:#000000; 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stroke-width:12; stroke-opacity:1; fill:none\" points=\"\n", " 1198.19,639.422 1166.66,543.981 \n", " \"/>\n", "<polyline clip-path=\"url(#clip9202)\" style=\"stroke:#ffffff; stroke-width:0; stroke-opacity:1; fill:none\" points=\"\n", " 1198.19,305.281 1166.66,475.295 \n", " \"/>\n", "</svg>\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "8162" ] }, "execution_count": 264, "metadata": {}, "output_type": "execute_result" } ], "source": [ "threshold=0.8\n", "setup = getSetup(\"json/$fileName\")\n", "E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te,Ls=getDataFromSetup3D(setup,scale);\n", "problem=E,f,g,idb,ien,ndf,nel,nen,nnp,nsd,xn,len,Ke,Te;\n", "display(plotTrussDeformed3D(problem,copy(X),scale,threshold,exageration))\n", "K,F,d,stress,dcomp,g=FEM_truss(problem,X);\n", "simulateAndExport(setup,X,dcomp,\"json/result_$(fileName)\",threshold)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Chiral" ] }, { "cell_type": "code", "execution_count": 293, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\"Original Domain:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip1000\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip1000)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip1001\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip1002\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip1002)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip1000)\" style=\"stroke:#000000; 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stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1856.19,218.33 1831.43,408.83 \n", " \"/>\n", "</svg>\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"Optimization Details:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "4\n" ] }, { "data": { "text/plain": [ "(1049.1643367939664, [0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 0.17304938742046194, 0.001, 0.19050447807473603 … 0.001, 0.001, 0.001, 1.0, 0.001, 0.001, 0.2880126691943726, 0.001, 0.001, 0.001], :XTOL_REACHED)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"got 1049.1643367939664 after 217 iterations (returned XTOL_REACHED)\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip1600\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip1600)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip1601\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip1602\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip1602)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip1600)\" style=\"stroke:#000000; 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stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n", " 1856.19,218.33 2051.79,156.732 \n", " \"/>\n", "</svg>\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"Optimization Details:\"" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "4\n" ] }, { "data": { "text/plain": [ "(63337.66554985558, [0.4999999993632749, 0.4999999979703217, 0.49999999655216076, 0.49999999594063926, 0.4999999803493048, 0.4999999998339791, 0.49999997580489086, 0.4999999888184538, 0.4999999991071036, 0.4999999612372059 … 0.4999999972055164, 0.49999999647612287, 0.4999999956252168, 0.499999992952246, 0.4999999990883376, 0.4999999981766752, 0.4999999956252168, 0.4999999990883376, 0.49999999647612287, 0.4999999972055164], :XTOL_REACHED)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\"got 63337.66554985558 after 2 iterations (returned XTOL_REACHED)\"" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n", "<defs>\n", " <clipPath id=\"clip4800\">\n", " <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip4800)\" d=\"\n", "M0 1600 L2400 1600 L2400 0 L0 0 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip4801\">\n", " <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n", " </clipPath>\n", "</defs>\n", "<defs>\n", " <clipPath id=\"clip4802\">\n", " <rect x=\"86\" y=\"47\" width=\"2267\" height=\"1475\"/>\n", " </clipPath>\n", "</defs>\n", "<path clip-path=\"url(#clip4802)\" d=\"\n", "M86.9921 1433.95 L86.9921 308.423 L916.319 47.2441 L2352.76 134.304 L2352.76 1259.83 L1523.43 1521.01 L86.9921 1433.95 Z\n", " \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip4800)\" style=\"stroke:#000000; 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