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]
},
"execution_count": 201,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# m= Matlab.meshgrid(1:nelx,1:nely,1:nelz)# Coordinates\n",
"# scatter(m[1],m[2],m[3])\n",
"ix=[]\n",
"iy=[]\n",
"iz=[]\n",
"for j in 1:nely\n",
" for i in 1:nelx\n",
" for k in 1:nelz\n",
" if(xPhys[j,i,k]>0.0)\n",
" append!(ix,i)\n",
" append!(iy,j)\n",
" append!(iz,k)\n",
" end\n",
" end\n",
" end\n",
"end\n",
"# r = 4.0\n",
"# lim = FRect3D((-4,-4,-4*r),(8,8,8*r))\n",
"scatter(ix,iz,iy,color=\"black\",label=\"\",markersize =4, aspect_ratio=:equal,markerstrokealpha = 0.2,markeralpha = 0.6,markershape = :square,camera = (30, 60))#,markershape = :square"
]
},
{
"cell_type": "code",
"execution_count": 265,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum compliance problem with OC\n",
"ndes: 40 x 20\n",
"volfrac: 0.3 rmin: 1.5 penal: 3.0\n",
" It:1 Obj:0.09026852193011448 Vol:0.1999999999999997 ch:0.1 \n",
" It:2 Obj:0.027983195754231225 Vol:0.09999999999999984 ch:0.1 \n",
" It:3 Obj:0.003557660740646075 Vol:0.06000187456145997 ch:0.1 \n",
" It:4 Obj:8.460015090099223e-12 Vol:0.060001058279334794 ch:0.10000000000000003 \n",
" It:5 Obj:8.758662158398278e-14 Vol:0.05999965957320142 ch:0.10000000000000003 \n",
" It:6 Obj:-6.60152160752389e-15 Vol:0.05999932613042742 ch:0.10000000000000003 \n",
" It:7 Obj:2.1384782467078744e-13 Vol:0.06000049391942632 ch:0.10000000000000003 \n",
" It:8 Obj:1.8093546831861042e-14 Vol:0.06000007305778338 ch:0.10000000000000003 \n",
" It:9 Obj:-1.4294401820209172e-14 Vol:0.06000009916457487 ch:0.10000000000000003 \n",
" It:10 Obj:-1.6627209652942483e-13 Vol:0.05999998531001037 ch:0.10000000000000003 \n",
" It:11 Obj:-5.242071702169678e-12 Vol:0.05999999921803433 ch:0.10000000000000003 \n",
" It:12 Obj:4.569833426118347e-9 Vol:0.04973656419833696 ch:0.10000000000000003 \n",
" It:13 Obj:-6.286088375958999e-12 Vol:0.05138408890412637 ch:0.10000000000000002 \n",
" It:14 Obj:5.312124713597383e-9 Vol:0.03801196242189398 ch:0.10000000000000002 \n",
" It:15 Obj:-6.431989396881844e-12 Vol:0.044962795555469226 ch:0.10000000000000003 \n",
" It:16 Obj:1.2495718835863832e-6 Vol:0.02570312406734146 ch:0.1 \n",
" It:17 Obj:7.614319294406219e-11 Vol:0.053116010631054894 ch:0.10000000000000003 \n",
" It:18 Obj:-7.168201027516775e-13 Vol:0.051411546444320715 ch:0.10000000000000003 \n",
" It:19 Obj:0.0006335762548853362 Vol:0.06000008046314534 ch:0.10000000000000003 \n",
" It:20 Obj:-5.439129067379216e-14 Vol:0.057419894124181324 ch:0.10000000000000003 \n",
" It:21 Obj:0.0017548941000755719 Vol:0.05999998599763824 ch:0.10000000000000003 \n",
" It:22 Obj:-4.990916551815383e-14 Vol:0.060000118715365564 ch:0.10000000000000003 \n",
" It:23 Obj:-3.633810421358408e-8 Vol:0.05517466356392311 ch:0.10000000000000003 \n",
" It:24 Obj:-3.500512681266545e-8 Vol:0.06000007583990654 ch:0.10000000000000003 \n",
" It:25 Obj:-1.1223791720835648e-7 Vol:0.06000000287354099 ch:0.10000000000000003 \n",
" It:26 Obj:-8.979792548824962e-7 Vol:0.059999975198906284 ch:0.10000000000000003 \n",
" It:27 Obj:-6.686021938851729e-7 Vol:0.06000001766725106 ch:0.10000000000000003 \n",
" It:28 Obj:-1.768096461238897e-6 Vol:0.06000035671262061 ch:0.10000000000000003 \n",
" It:29 Obj:-0.0024127283537585097 Vol:0.060000440450503366 ch:0.10000000000000003 \n",
" It:30 Obj:-0.009224896486245467 Vol:0.05999925239193416 ch:0.10000000000000003 \n",
" It:31 Obj:-0.019675664980575637 Vol:0.06000045257994584 ch:0.10000000000000003 \n",
" It:32 Obj:-0.03309369278229533 Vol:0.060000432898325885 ch:0.10000000000000003 \n",
" It:33 Obj:-0.048281725764118565 Vol:0.059999329409453434 ch:0.10000000000000003 \n",
" It:34 Obj:-0.06463651949300997 Vol:0.05999877247042638 ch:0.10000000000000003 \n",
" It:35 Obj:-0.08138726688980524 Vol:0.05999960970043402 ch:0.10000000000000003 \n",
" It:36 Obj:-0.10150309032718455 Vol:0.06000058929120586 ch:0.10000000000000003 \n",
" It:37 Obj:-0.12065299715951426 Vol:0.05999942978539532 ch:0.10000000000000003 \n",
" It:38 Obj:-0.1317154274101627 Vol:0.05999999131591284 ch:0.1 \n",
" It:39 Obj:-0.13730588083911838 Vol:0.05999953147601106 ch:0.1 \n",
" It:40 Obj:-0.14325201216300282 Vol:0.05999992568101152 ch:0.10000000000000003 \n",
" It:41 Obj:-0.14736535647901083 Vol:0.06000044315966504 ch:0.1 \n",
" It:42 Obj:-0.15125641132769918 Vol:0.060000380606625596 ch:0.10000000000000003 \n",
" It:43 Obj:-0.15375283580190025 Vol:0.06000039322482567 ch:0.10000000000000003 \n",
" It:44 Obj:-0.15566331644893627 Vol:0.06000018365383582 ch:0.09999999999999998 \n",
" It:45 Obj:-0.1571812201379953 Vol:0.06000036713570249 ch:0.09999999999999998 \n",
" It:46 Obj:-0.1583893297707321 Vol:0.060000310845169165 ch:0.09999999999999998 \n",
" It:47 Obj:-0.15948746223046992 Vol:0.06000003011812632 ch:0.09999999999999998 \n",
" It:48 Obj:-0.16064538302331324 Vol:0.059999666090964826 ch:0.1 \n",
" It:49 Obj:-0.16218661395451614 Vol:0.059999833364534315 ch:0.10000000000000003 \n",
" It:50 Obj:-0.16408012091070734 Vol:0.059999814393815416 ch:0.09999999999999998 \n",
" It:51 Obj:-0.16621169156900797 Vol:0.059999752132612556 ch:0.1 \n",
" It:52 Obj:-0.16846302195338353 Vol:0.059999863517096914 ch:0.10000000000000003 \n",
" It:53 Obj:-0.1707281183827756 Vol:0.06000012171671644 ch:0.09999999999999998 \n",
" It:54 Obj:-0.17305580192146333 Vol:0.060000031943365506 ch:0.10000000000000003 \n",
" It:55 Obj:-0.17557421549568228 Vol:0.06000054624482329 ch:0.1 \n",
" It:56 Obj:-0.17827566904158082 Vol:0.059999524019842744 ch:0.10000000000000003 \n",
" It:57 Obj:-0.18081608411949218 Vol:0.05999953954449241 ch:0.09999999999999998 \n",
" It:58 Obj:-0.18373117008900816 Vol:0.05999994322495576 ch:0.10000000000000003 \n",
" It:59 Obj:-0.18714237717489632 Vol:0.06000008010701644 ch:0.09999999999999998 \n",
" It:60 Obj:-0.19077090718584572 Vol:0.06000000285228615 ch:0.09999999999999998 \n",
" It:61 Obj:-0.1942370855907106 Vol:0.05999988919880623 ch:0.09999999999999998 \n",
" It:62 Obj:-0.19733519840939903 Vol:0.060000321505315896 ch:0.1 \n",
" It:63 Obj:-0.19951501738094216 Vol:0.060000258021140965 ch:0.09999999999999998 \n",
" It:64 Obj:-0.20058869031500814 Vol:0.05999992082931344 ch:0.09999999999999998 \n",
" It:65 Obj:-0.2016019791586383 Vol:0.06000024519477989 ch:0.09999999999999998 \n",
" It:66 Obj:-0.20229868813330304 Vol:0.06000009784942022 ch:0.10000000000000003 \n",
" It:67 Obj:-0.20262445451769182 Vol:0.060000259609068476 ch:0.09999999999999998 \n",
" It:68 Obj:-0.20303106718225197 Vol:0.05999960339974998 ch:0.10000000000000003 \n",
" It:69 Obj:-0.20366093380871889 Vol:0.059999964764364096 ch:0.10000000000000003 \n",
" It:70 Obj:-0.20452354964913774 Vol:0.06000031333446863 ch:0.09999999999999998 \n",
" It:71 Obj:-0.20559709948674726 Vol:0.05999962897181279 ch:0.09999999999999998 \n",
" It:72 Obj:-0.2069213587618605 Vol:0.06000017262179526 ch:0.10000000000000003 \n",
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" It:453 Obj:-0.3426171082608298 Vol:0.060000052352702456 ch:0.015939974687830316 \n",
" It:454 Obj:-0.34265390825859654 Vol:0.05999990405711078 ch:0.015542083924703298 \n",
" It:455 Obj:-0.34269063436306596 Vol:0.059999999888166566 ch:0.015120374396430825 \n",
" It:456 Obj:-0.34272256979312343 Vol:0.06000005150793646 ch:0.014670272703994791 \n",
" It:457 Obj:-0.3427516358548345 Vol:0.05999993451105467 ch:0.014192948928090171 \n",
" It:458 Obj:-0.342775252306148 Vol:0.05999998085205269 ch:0.01366636583264777 \n",
" It:459 Obj:-0.3427967195165015 Vol:0.059999918553365984 ch:0.013122217899545319 \n",
" It:460 Obj:-0.3428136774545058 Vol:0.06000013176240786 ch:0.012754105779273828 \n",
" It:461 Obj:-0.3428287688379108 Vol:0.059999926830558624 ch:0.013673872429568204 \n",
" It:462 Obj:-0.3428372078201602 Vol:0.059999994159649496 ch:0.016962648132515246 \n",
" It:463 Obj:-0.34284384528421974 Vol:0.05999982435370824 ch:0.021267218294088647 \n",
" It:464 Obj:-0.3428463186055139 Vol:0.06000005591648106 ch:0.027112851875612937 \n",
" It:465 Obj:-0.3428522142890932 Vol:0.06000006387330024 ch:0.03530382591335662 \n",
" It:466 Obj:-0.34286159838448993 Vol:0.06000014259358472 ch:0.04732308117271611 \n",
" It:467 Obj:-0.34289036534266343 Vol:0.06000019381207485 ch:0.06571659386905226 \n",
" It:468 Obj:-0.34297572369583107 Vol:0.06000005588079916 ch:0.09424594208532527 \n",
" It:469 Obj:-0.34318921328656027 Vol:0.060000143294143674 ch:0.09999999999999998 \n",
" It:470 Obj:-0.34350763402231127 Vol:0.0599997840830873 ch:0.09999999999999998 \n",
" It:471 Obj:-0.3438495426963975 Vol:0.05999988989719522 ch:0.09999999999999998 \n",
" It:472 Obj:-0.3441638223746846 Vol:0.06000005373226162 ch:0.09999999999999998 \n",
" It:473 Obj:-0.34442264731527056 Vol:0.06000013328211577 ch:0.09999999999999998 \n",
" It:474 Obj:-0.3446197743584074 Vol:0.05999985023865313 ch:0.09999999999999998 \n",
" It:475 Obj:-0.3447589823104949 Vol:0.06000010392104483 ch:0.015283286817762143 \n",
" It:476 Obj:-0.3448689229244438 Vol:0.05999987528602334 ch:0.012630341361194869 \n",
" It:477 Obj:-0.34496191988015634 Vol:0.06000018970662423 ch:0.011553440769400833 \n",
" It:478 Obj:-0.34503860813773557 Vol:0.06000019742065653 ch:0.010580413761394084 \n",
" It:479 Obj:-0.3450993671388836 Vol:0.05999987545277923 ch:0.00969290088768461 \n"
]
}
],
"source": [
"function compliantOptimization3d(nelx,nely,nelz,volfrac,rmin,penal)\n",
" function lk_H8(nu)\n",
" A = [32 6 -8 6 -6 4 3 -6 -10 3 -3 -3 -4 -8;\n",
" -48 0 0 -24 24 0 0 0 12 -12 0 12 12 12];\n",
" k = 1/144*A'*[1; nu];\n",
"\n",
" K1 = [k[1] k[2] k[2] k[3] k[5] k[5];\n",
" k[2] k[1] k[2] k[4] k[6] k[7];\n",
" k[2] k[2] k[1] k[4] k[7] k[6];\n",
" k[3] k[4] k[4] k[1] k[8] k[8];\n",
" k[5] k[6] k[7] k[8] k[1] k[2];\n",
" k[5] k[7] k[6] k[8] k[2] k[1]];\n",
" K2 = [k[9] k[8] k[12] k[6] k[4] k[7];\n",
" k[8] k[9] k[12] k[5] k[3] k[5];\n",
" k[10] k[10] k[13] k[7] k[4] k[6];\n",
" k[6] k[5] k[11] k[9] k[2] k[10];\n",
" k[4] k[3] k[5] k[2] k[9] k[12]\n",
" k[11] k[4] k[6] k[12] k[10] k[13]];\n",
" K3 = [k[6] k[7] k[4] k[9] k[12] k[8];\n",
" k[7] k[6] k[4] k[10] k[13] k[10];\n",
" k[5] k[5] k[3] k[8] k[12] k[9];\n",
" k[9] k[10] k[2] k[6] k[11] k[5];\n",
" k[12] k[13] k[10] k[11] k[6] k[4];\n",
" k[2] k[12] k[9] k[4] k[5] k[3]];\n",
" K4 = [k[14] k[11] k[11] k[13] k[10] k[10];\n",
" k[11] k[14] k[11] k[12] k[9] k[8];\n",
" k[11] k[11] k[14] k[12] k[8] k[9];\n",
" k[13] k[12] k[12] k[14] k[7] k[7];\n",
" k[10] k[9] k[8] k[7] k[14] k[11];\n",
" k[10] k[8] k[9] k[7] k[11] k[14]];\n",
" K5 = [k[1] k[2] k[8] k[3] k[5] k[4];\n",
" k[2] k[1] k[8] k[4] k[6] k[11];\n",
" k[8] k[8] k[1] k[5] k[11] k[6];\n",
" k[3] k[4] k[5] k[1] k[8] k[2];\n",
" k[5] k[6] k[11] k[8] k[1] k[8];\n",
" k[4] k[11] k[6] k[2] k[8] k[1]];\n",
" K6 = [k[14] k[11] k[7] k[13] k[10] k[12];\n",
" k[11] k[14] k[7] k[12] k[9] k[2];\n",
" k[7] k[7] k[14] k[10] k[2] k[9];\n",
" k[13] k[12] k[10] k[14] k[7] k[11];\n",
" k[10] k[9] k[2] k[7] k[14] k[7];\n",
" k[12] k[2] k[9] k[11] k[7] k[14]];\n",
" KE = 1/((nu+1)*(1-2*nu))*[ K1 K2 K3 K4;K2' K5 K6 K3';K3' K6 K5' K2';K4 K3 K2 K1'];\n",
"\n",
" return KE\n",
" end\n",
" println(\"Minimum compliance problem with OC\")\n",
" println(\"ndes: $nelx x $nely\")\n",
" println(\"volfrac: $volfrac rmin: $rmin penal: $penal\")\n",
" # Max and min stiffness\n",
" Emin=1e-9\n",
" Emax=1.0\n",
" nu=0.3\n",
" # dofs:\n",
" ndof = 3*(nelx+1)*(nely+1)*(nelz+1)\n",
" # Allocate design variables (as array), initialize and allocate sens.\n",
" x=volfrac * ones(Float64,nely,nelx,nelz)\n",
" xold=copy(x)\n",
" xPhys=copy(x)\n",
" g=0 # must be initialized to use the NGuyen/Paulino OC approach\n",
" dc=zeros(Float64,(nely,nelx,nelz))\n",
" \n",
" # FE: Build the index vectors for the for coo matrix format.\n",
" KE=lk_H8(nu)\n",
" nele = nelx*nely*nelz\n",
" \n",
" nodenrs = reshape(1:(1+nelx)*(1+nely)*(1+nelz),1+nely,1+nelx,1+nelz)\n",
" edofVec = reshape(3*nodenrs[1:end-1,1:end-1,1:end-1].+1,nelx*nely*nelz,1)\n",
" edofMat = repeat(edofVec,1,24).+repeat([0 1 2 3*nely.+[3 4 5 0 1 2] -3 -2 -1 3*(nely+1)*(nelx+1).+[0 1 2 3*nely.+[3 4 5 0 1 2] -3 -2 -1]],nelx*nely*nelz,1)\n",
" \n",
" iK = convert(Array{Int},reshape(kron(edofMat,ones(24,1))',24*24*nele,1))\n",
" jK = convert(Array{Int},reshape(kron(edofMat,ones(1,24))',24*24*nele,1))\n",
" \n",
" \n",
" \n",
" \n",
"# # USER-DEFINED LOAD DOFs\n",
"# m= Matlab.meshgrid(nelx:nelx, 0:0, 0:nelz)\n",
"# il=m[1]\n",
"# jl=m[2]\n",
"# kl=m[3]\n",
"# loadnid = kl.*(nelx+1).*(nely+1).+il.*(nely+1).+(nely+1 .-jl)\n",
"# loaddof = 3 .*loadnid[:] .- 1; \n",
"# # USER-DEFINED SUPPORT FIXED DOFs\n",
"# m= Matlab.meshgrid(0:0,0:nely,0:nelz)# Coordinates\n",
"# iif=m[1]\n",
"# jf=m[2]\n",
"# kf=m[3]\n",
"# fixednid = kf.*(nelx+1).*(nely+1) .+iif .*(nely .+1) .+(nely .+1 .-jf) # Node IDs\n",
"# fixeddof = [3 .*fixednid[:]; 3 .*fixednid[:].-1; 3 .*fixednid[:].-2] # DOFs\n",
" \n",
" \n",
"# # DEFINE LOADS AND SUPPORTS (HALF MBB-BEAM)\n",
"# F= sparse(loaddof,fill(1,length(loaddof)),fill(-1,length(loaddof)),ndof,1);\n",
"# U = zeros(ndof,1)\n",
"# alldofs = 1:ndof\n",
"# freedofs = setdiff(1:ndof,fixeddof)\n",
" # USER-DEFINED LOAD DOFs\n",
" il = [0 nelx]; jl = [nely nely]; kl = [0 0];\n",
" loadnid = kl .*(nelx+1) .*(nely+1) .+il .*(nely .+1) .+(nely+1 .-jl);\n",
" loaddof = 3 .*loadnid[:] .- 2;\n",
" din = loaddof[1]; dout = loaddof[2];\n",
" F = sparse(loaddof,[1;2],[1;-1],ndof,2);\n",
" \n",
" # USER-DEFINED SUPPORT FIXED DOFs\n",
" # Top face\n",
" m = Matlab.meshgrid(0:nelx,0:nelz)\n",
" iif=m[1]\n",
" kf=m[2]\n",
" fixednid = kf .*(nelx+1) .*(nely+1) .+iif .*(nely+1) .+1;\n",
" fixeddof_t = 3 .*fixednid[:] .-1;\n",
" # Side face\n",
" m = Matlab.meshgrid(0:nelx,0:nely)\n",
" iif=m[1]\n",
" jf=m[2]\n",
" fixednid = iif .*(nely+1) .+(nely+1 .-jf);\n",
" fixeddof_s = 3*fixednid[:];\n",
" # Two pins\n",
" iif = [0;0]; jf = [0;1]; kf = [nelz;nelz];\n",
" fixednid = kf .*(nelx+1) .*(nely .+1) .+iif .*(nely .+1) .+(nely+1 .-jf)\n",
" fixeddof_p = [3 .*fixednid[:]; 3 .*fixednid[:].-1; 3 .*fixednid[:].-2] # DOFs\n",
" # Fixed DOFs\n",
" fixeddof = union(fixeddof_t,fixeddof_s);\n",
" fixeddof = union(fixeddof, fixeddof_p);\n",
" fixeddof = sort(fixeddof);\n",
" \n",
" # Displacement vector\n",
" U = zeros(ndof,2);\n",
" freedofs = setdiff(1:ndof,fixeddof)\n",
" \n",
" \n",
" \n",
" \n",
" \n",
" \n",
" # Prepare filter\n",
" #iH = ones(convert(Int,nele*(2*(ceil(rmin)-1)+1)^2),1)\n",
" #jH = ones(Int,size(iH))\n",
" #sH = zeros(size(iH))\n",
" iH=[]\n",
" jH=[]\n",
" sH=[]\n",
" k = 0\n",
"\n",
" for k1 = 1:nelz\n",
" for i1 = 1:nelx\n",
" for j1 = 1:nely\n",
" e1 = (k1-1)*nelx*nely + (i1-1)*nely+j1\n",
" for k2 = max(k1-(ceil(rmin)-1),1):min(k1+(ceil(rmin)-1),nelz)\n",
" for i2 = max(i1-(ceil(rmin)-1),1):min(i1+(ceil(rmin)-1),nelx)\n",
" for j2 = max(j1-(ceil(rmin)-1),1):min(j1+(ceil(rmin)-1),nely)\n",
" e2 = (k2-1)*nelx*nely + (i2-1)*nely+j2;\n",
" k = k+1;\n",
" append!(iH, e1 )\n",
" append!(jH, e2 )\n",
" append!(sH, max(0.0,rmin-sqrt((i1-i2)^2+(j1-j2)^2+(k1-k2)^2) ))\n",
" \n",
" end\n",
" end\n",
" end\n",
" end\n",
" end\n",
" end\n",
"\n",
" iH=reshape(iH,length(iH),1)\n",
" jH=reshape(jH,length(jH),1)\n",
" sH=reshape(convert(Array{Float64}, sH),length(sH),1)\n",
" H = sparse(vec(iH),vec(jH),vec(sH))\n",
" Hs = sum(H,dims=2)\n",
" ###################################################\n",
" loop = 0\n",
" change = 1\n",
" maxIter=1000\n",
" # Start iteration\n",
" for i =1:maxIter\n",
" if (change > 0.01)\n",
" # Start iteration\n",
" loop += 1\n",
" # FE-ANALYSIS\n",
" sK = reshape(KE[:]*(Emin.+xPhys[:]'.^penal*(Emax-Emin)),24*24*nelx*nely*nelz,1)\n",
" K = sparse(vec(iK),vec(jK),vec(sK)) \n",
" K[din,din] = K[din,din] + 0.1\n",
" K[dout,dout] = K[dout,dout] + 0.1\n",
" K = (K+K')/2\n",
" \n",
" \n",
"# @timed U[freedofs] = K[freedofs,freedofs] \\ Array(F[freedofs])\n",
" @timed U[freedofs,:] = K[freedofs,freedofs] \\ Array(F[freedofs,:])\n",
" U1 = U[:,1]\n",
" U2 = U[:,2]\n",
" \n",
" # Objective function and sensitivity analysis\n",
" \n",
" #ce = reshape(sum((U[edofMat]*KE).*U[edofMat],dims=2),nely,nelx,nelz)\n",
" ce = reshape(sum((U1[edofMat]*KE).*U2[edofMat],dims=2),nely,nelx,nelz);\n",
" \n",
" #c = sum(sum(sum((Emin.+xPhys.^penal*(Emax-Emin)).*ce)))\n",
" c = U[dout,1]\n",
" \n",
" dc = penal*(Emax-Emin)*xPhys.^(penal-1).*ce\n",
" dv = ones(nely,nelx,nelz)\n",
" dc[:] = H*(dc[:]./Hs)\n",
" dv[:] = H*(dv[:]./Hs)\n",
" # OPTIMALITY CRITERIA UPDATE OF DESIGN VARIABLES AND PHYSICAL DENSITIES\n",
" #l1 = 0; l2 = 1e9; move = 0.2; xnew = 0\n",
" l1 = 0; l2 = 1e9; move = 0.1;xnew = 0\n",
" #while (l2-l1)/(l1+l2) > 1e-3\n",
" while (l2-l1)/(l1+l2) > 1e-4 && l2 > 1e-40\n",
" lmid = 0.5*(l2+l1)\n",
" #xnew = max.(0,max.(x.-move,min.(1,min.(x.+move,x.*sqrt.((0.0.-dc)./dv./lmid)))))\n",
" xnew = max.(0,max.(x.-move,min.(1,min.(x.+move,x.*(max.(1e-10,-dc./dv./lmid)).^0.3))));\n",
"\n",
" xPhys[:] = (H*xnew[:])./Hs\n",
" if sum(xPhys[:]) > volfrac*nelx*nely\n",
" l1 = lmid\n",
" else\n",
" l2 = lmid\n",
" end\n",
" end\n",
" change = maximum(abs.(xnew[:].-x[:]))\n",
" x = xnew\n",
" m=mean(xPhys[:])\n",
" println(\" It:$loop Obj:$c Vol:$m ch:$change \")\n",
"\n",
" xPhys = copy(x)\n",
" end\n",
" end\n",
" return xPhys\n",
"end\n",
"nelx=40\n",
"nely=20\n",
"nelz=5\n",
"volfrac=0.3\n",
"rmin=1.5\n",
"penal=3.0\n",
"\n",
"xPhysC=compliantOptimization3d(nelx,nely,nelz,volfrac,rmin,penal);\n"
]
},
{
"cell_type": "code",
"execution_count": 266,
"metadata": {},
"outputs": [
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