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349 lines
12 KiB
349 lines
12 KiB
3 years ago
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%--------------------------
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% @Author: Jingqiao Hu
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% @Date: 2020-10-29 15:04:15
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% @LastEditTime: 2021-06-17 11:29:39
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%--------------------------
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function [localx, globalx] = generateStruct(microx, microy, nelx, nely, lx, ly, opt, scalar)
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[nodes, eles, ~, ~] = GenerateMesh(nelx*lx, nely*ly, nelx, nely);
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[globalOffsetx,globalOffsety] = offsetSIMP(eles,nodes, microx, microy, nelx, nely);
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x = zeros(microy, microx);
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globalx = zeros(nely*microy, nelx*microx);
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localx = cell(nely, nelx);
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mina = microx/10; maxa = round((microx-microx/4)/2);
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minb = microx/10; maxb = round((microx-microx/4)/2);
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% mina = microx/10; maxa = round((microx-microx/3)/2);
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% minb = microx/10; maxb = round((microx-microx/3)/2);
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switch opt
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case 'interval2'
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% globalx(1:microx, round(microx/3):round(microx*2/3)) = 1;
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% globalx(microx+round(microx/3):microx+round(microx*2/3), :) = 1;
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% globalx(1:microx, microx+round(microx/3):microx+round(microx*2/3)) = 1;
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globalx(1:microx, round(microx/3):round(microx*2/3)) = 1;
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globalx(microx+round(microx/3):microx+round(microx*2/3), :) = 1;
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globalx(1:microx, microx+round(microx/3):microx+round(microx*2/3)) = 1;
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globalx = rot90(globalx);
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globalx = fliplr(globalx);
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globalx = 1-globalx;
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case 'checkboard2'
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tmp_interval = round(microx/scalar);
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x(:) = 0;
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for i = 1:2:scalar
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x((i-1)*tmp_interval+1 : i*tmp_interval, :) = 1;
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end
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for i = 1:2:scalar
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x(:,(i-1)*tmp_interval+1 : i*tmp_interval) = 1;
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end
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for i = 1:2:scalar
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for j = 1:2:scalar
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x((j-1)*tmp_interval+1 : j*tmp_interval, (i-1)*tmp_interval+1 : i*tmp_interval) = 0;
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end
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end
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figure; imagesc(x); axis equal; axis off; colormap(gray);
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for i = 1:nelx
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for j = 1:nely
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = 1-x;
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localx{j,i} = 1-x;
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end
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end
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case 'checkboard'
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for i = 1:nelx
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for j = 1:nely
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x(:) = 0;
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x(1:round(microx/2), 1:round(microx/2)) = 1;
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x(round(microx/2)+1:end, round(microx/2)+1:end) = 1;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = 1-x;
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localx{j,i} = 1-x;
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end
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end
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case 'multi_shape'
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a = maxa;
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theta = 0;
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b = maxb;
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i = 1; j = 1;
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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i = 2; j = 1;
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w = 1/5;
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x(:) = 0;
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x(1:round(w*microy), :) = 1;
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x(round(microy-w*microy+1):microy, :) = 1;
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x(:, 1:round(w*microx)) = 1;
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x(:, round(microy-w*microx+1):microy) = 1;
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x = 1-x;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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i = 2; j = 2;
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w = 1/3;
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x(:) = 0;
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x(1:round(w*microy), :) = 1;
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x(round(microy-w*microy+1):microy, :) = 1;
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x(:, 1:round(w*microx)) = 1;
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x(:, round(microy-w*microx+1):microy) = 1;
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x = 1-x;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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a = mina;
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theta = pi/4;
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b = maxb;
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i = 1; j = 2;
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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globalx = 1-globalx;
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case 'diamond'
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maxa = round((microx-microx/5)/2);
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mina = microx/15;
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a = maxa;
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[gridx, gridy] = meshgrid(-microx/2+0.5:microx/2-0.5, -microx/2+0.5:microx/2-0.5);
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gridy = flipud(gridy);
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for i = 1:nelx
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for j = 1:nely
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P = [0, a;
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a, 0;
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0, -a;
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-a, 0];
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pgon = polyshape(P);
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x = isinterior(pgon, gridx(:), gridy(:));
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x = reshape(1-x, microx, microx);
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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% a = a - (maxa-mina)/nelx;
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end
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end
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case 'interval_dense'
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for i = 1:nelx
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for j = 1:nely
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x(:) = 0;
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x(:, 1:round(microx/4)) = 1;
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x(:, round(microx/2)+1:end-round(microx/4)) = 1;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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end
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end
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case 'interval'
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for i = 1:nelx
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for j = 1:nely
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x(:) = 0;
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x(:, 1:round(microx/3)) = 1;
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x(:, end-round(microx/3):end) = 1;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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end
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end
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case 'ellipse2'
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a = maxa;
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theta = 0;
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for i = 1:nelx
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b = maxb;
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for j = 1:nely
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = 1-x;
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end
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end
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globalx = 1-globalx;
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case 'ellipse_test'
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% for section of testing shape functions
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a = maxa;
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theta = 0;
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for i = 1:nelx
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b = maxb;
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for j = 1:nely
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x(:) = 1;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 0;
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end
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end
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end
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if i==1 && j==1
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% m0 = 0;
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else
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x = x*2;
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end
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% x = x*m0;
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% if i==1 && j==1
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% else
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% x(:) = 0;
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% end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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end
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end
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% globalx = 1-globalx;
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case 'ellipse_MBB'
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a = maxa;
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theta = 0;
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for i = 1:nelx
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b = maxb;
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for j = 1:nely
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = 1-x;
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b = b - (maxb-minb)/nely;
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end
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a = a - (maxa-mina)/nelx;
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theta = theta + (pi/2)/(nelx-1);
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end
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globalx = 1-globalx;
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case 'ellipse_bending'
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a = maxa;
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theta = 0;
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for i = 1:nelx
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b = maxb;
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for j = 1:nely
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = 1-x;
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end
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a = a - (maxa-mina)/nelx;
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theta = theta + (pi/2)/(nelx-1);
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end
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globalx = 1-globalx;
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case 'ellipse'
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a = maxa;
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theta = 0;
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for i = 1:nelx
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b = maxb;
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for j = 1:nely
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x(:) = 0;
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for ii = 1:microx
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for jj = 1:microy
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ey = jj-microy/2;
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ex = ii-microx/2;
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if (ey*sin(theta)+ex*cos(theta))^2/a^2 + (ey*cos(theta)-ex*sin(theta))^2/b^2<1
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x(jj,ii) = 1;
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end
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end
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end
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = 1-x;
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b = b - (maxb-minb)/nely;
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end
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a = a - (maxa-mina)/nelx;
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theta = theta + (pi/2)/(nelx-1);
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end
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globalx = 1-globalx;
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case 'bar'
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w = mina/microx;
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for i = 1:nelx
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for j = 1:nely
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x(:) = 0;
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x(1:round(w*microy), :) = 1;
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x(round(microy-w*microy+1):microy, :) = 1;
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x(:, 1:round(w*microx)) = 1;
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x(:, round(microy-w*microx+1):microy) = 1;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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w = w + (maxa-mina)/microx/nelx/nely;
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end
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end
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case 'bar-size'
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w = mina/microx;
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w = w + (maxa-mina)/microx/2/2 * scalar;
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for i = 1:nelx
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for j = 1:nely
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x(:) = 0;
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x(1:round(w*microy), :) = 1;
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x(round(microy-w*microy+1):microy, :) = 1;
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x(:, 1:round(w*microx)) = 1;
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x(:, round(microy-w*microx+1):microy) = 1;
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globalx(globalOffsety(j,i,:), globalOffsetx(j,i,:)) = x;
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localx{j,i} = x;
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end
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end
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end
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% imshow(1-globalx);
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end
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