16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 45.28 45.28 45.35 45.60 46.00 46.57 47.32 48.26 49.39 50.75 52.36 54.25 56.49 59.16 62.42 66.56 72.41 0.00 0.00 2.53 5.05 7.58 10.10 12.63 15.15 17.68 20.20 22.73 25.25 27.78 30.30 32.83 35.35 37.88 -40.00 -40.00 -39.92 -39.68 -39.28 -38.70 -37.96 -37.02 -35.88 -34.52 -32.92 -31.02 -28.78 -26.11 -22.86 -18.72 -12.86 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.53 5.05 7.58 10.10 12.63 15.15 17.68 20.20 22.73 25.25 27.78 30.30 32.83 35.35 37.88 -16.79 -16.79 -16.76 -16.65 -16.49 -16.29 -16.07 -15.89 -15.80 -15.89 -16.26 -17.10 -18.62 -21.14 -25.10 -31.06 -40.04 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 -67.00 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 42.08 71.54 71.54 71.42 71.06 70.45 69.60 68.50 67.14 65.53 63.64 61.49 59.05 56.32 53.29 49.96 46.28 42.08 29.46 29.46 29.34 28.98 28.37 27.52 26.42 25.06 23.44 21.56 19.40 16.96 14.23 11.21 7.88 4.20 0.00 109.11 109.11 109.07 108.97 108.78 108.50 108.09 107.50 106.68 105.55 103.96 101.74 98.63 94.24 88.09 79.56 67.92 表6 分支定界法用料稳定性最优其他设计加工参数 木条编号 木条长度 桌面坐标x 桌面坐标y 桌面坐标z 桌角坐标x 桌角坐标y 桌角坐标z 开槽起点 开槽终点 开槽距离 水平倾角 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 74.51158 62.96561 59.5094 56.92878 53.75269 52.9983 52.75 52.75 52.9983 53.75269 55.04354 56.92878 59.5094 62.96561 67.65662 74.51158 -35.6 -26.7 -22.25 -17.8 -8.9 -4.45 0 0 4.45 8.9 13.35 17.8 22.25 26.7 31.15 35.6 -18.2384 -25.0934 -29.7844 -33.2406 -35.8212 -37.7065 -38.9973 -39.7517 -40 -40 -39.7517 -38.9973 -37.7065 -35.8212 -33.2406 -29.7844 -25.0934 -18.2384 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -35.6 -31.15 -26.7 -22.25 -17.8 -13.35 -8.9 -4.45 0 0 4.45 8.9 13.35 17.8 22.25 26.7 31.15 35.6 -50.9242 -34.8881 -24.2892 -18.2685 -15.1992 -13.7809 -13.201 -13.003 -12.9598 -12.9598 -13.003 -13.201 -13.7809 -15.1992 -18.2685 -24.2892 -34.8881 -50.9242 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 40.55401 40.55401 0 63.99471 67.65662 -31.15 40.55401 45.36079 4.806782 81.68281 40.55401 49.9151 9.361093 94.68878 40.55401 53.961 13.40699 102.5966 40.55401 57.33634 16.78234 107.1079 40.55401 59.97394 19.41994 109.6516 40.55401 61.85545 21.30145 111.0577 40.55401 62.98131 22.42731 111.7636 40.55401 63.35592 22.80191 111.9782 40.55401 63.35592 22.80191 111.9782 40.55401 62.98131 22.42731 111.7636 40.55401 61.85545 21.30145 111.0577 40.55401 59.97394 19.41994 109.6516 40.55401 57.33634 16.78234 107.1079 40.55401 53.961 13.40699 102.5966 40.55401 49.9151 9.361093 94.68878 40.55401 45.36079 4.806782 81.68281 40.55401 40.55401 0 63.99471 55.04354 -13.35 表7 枚举法用料最省其他设计加工参数 木条编号 木条长度 桌面坐标x 桌面坐标y 桌面坐标z 桌角坐标x 桌角坐标y 桌角坐标z 开槽起点 开槽终点 开槽距离 水平倾角 1 2 3 4 5 6
75.61181 67.0644 61.89469 58.04249 54.98729 52.5 -39 -36 -33 -30 -27 -24 -8.88819 -17.4356 -22.6053 -26.4575 -29.5127 -32 0 0 0 0 0 0 -39 -36 -33 -30 -27 -24 34
-41.8016 -29.7408 -23.0452 -19.1629 -17.0456 -16.0368 -67 -67 -67 -67 -67 -67 40.87058 40.87058 0 63.83769 40.87058 46.72623 5.855658 79.59307 40.87058 51.3994 10.52883 89.62387 40.87058 55.481 14.61043 96.21358 40.87058 59.07595 18.20537 100.5408 40.87058 62.22442 21.35384 103.4013
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 50.45591 48.77886 47.41901 46.34243 45.52565 44.95256 44.61266 44.5 44.5 44.61266 44.95256 45.52565 46.34243 47.41901 48.77886 50.45591 52.5 54.98729 58.04249 61.89469 67.0644 75.61181 -21 -18 -15 -12 -9 -6 -3 0 0 3 6 9 12 15 18 21 24 27 30 33 36 39 -34.0441 -35.7211 -37.081 -38.1576 -38.9744 -39.5474 -39.8873 -40 -40 -39.8873 -39.5474 -38.9744 -38.1576 -37.081 -35.7211 -34.0441 -32 -29.5127 -26.4575 -22.6053 -17.4356 -8.88819 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -21 -18 -15 -12 -9 -6 -3 0 0 3 6 9 12 15 18 21 24 27 30 33 36 39 -15.7044 -15.7629 -16.023 -16.3591 -16.6883 -16.9562 -17.1292 -17.1889 -17.1889 -17.1292 -16.9562 -16.6883 -16.3591 -16.023 -15.7629 -15.7044 -16.0368 -17.0456 -19.1629 -23.0452 -29.7408 -41.8016 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 40.87058 64.95144 24.08086 105.3084 40.87058 67.27677 26.40619 106.5879 40.87058 69.21697 28.3464 107.4479 40.87058 70.7859 29.91532 108.0223 40.87058 71.99474 31.12417 108.3986 40.87058 72.85213 31.98155 108.6332 40.87058 73.36414 32.49356 108.7613 40.87058 73.53441 32.66383 108.8019 40.87058 73.53441 32.66383 108.8019 40.87058 73.36414 32.49356 108.7613 40.87058 72.85213 31.98155 108.6332 40.87058 71.99474 31.12417 108.3986 40.87058 70.7859 29.91532 108.0223 40.87058 69.21697 28.3464 107.4479 40.87058 67.27677 26.40619 106.5879 40.87058 64.95144 24.08086 105.3084 40.87058 62.22442 21.35384 103.4013 40.87058 59.07595 18.20537 100.5408 40.87058 55.481 14.61043 96.21358 40.87058 51.3994 10.52883 89.62387 40.87058 46.72623 5.855658 79.59307 40.87058 40.87058 0 63.83769 表8 枚举法用料稳定性最优其他设计加工参数 木条编号 木条长度 桌面坐标x 桌面坐标y 桌面坐标z 桌角坐标x 桌角坐标y 桌角坐标z 开槽起点 开槽终点 开槽距离 水平倾角 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 74.5644 67.34741 62.48729 58.92811 56.27886 54.34698 53.02565 52.25393 52 52 52.25393 53.02565 54.34698 56.27886 58.92811 62.48729 67.34741 74.5644 -36 -31.5 -27 -22.5 -18 -13.5 -9 -4.5 0 0 4.5 9 13.5 18 22.5 27 31.5 36 -17.4356 -24.6526 -29.5127 -33.0719 -35.7211 -37.653 -38.9744 -39.7461 -40 -40 -39.7461 -38.9744 -37.653 -35.7211 -33.0719 -29.5127 -24.6526 -17.4356 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -36 -31.5 -27 -22.5 -18 -13.5 -9 -4.5 0 0 4.5 9 13.5 18 22.5 27 31.5 36 -50.8908 -34.6769 -24.146 -18.2669 -15.3362 -14.0281 -13.5254 -13.3726 -13.3443 -13.3443 -13.3726 -13.5254 -14.0281 -15.3362 -18.2669 -24.146 -34.6769 -50.8908 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 -67 40.40836 40.40836 0 63.46563 40.40836 45.41451 5.00615 81.49071 40.40836 50.1195 9.711138 94.57963 40.40836 54.28287 13.87451 102.4604 40.40836 57.74749 17.33913 106.9226 40.40836 60.45035 20.04199 109.4232 40.40836 62.37634 21.96798 110.7985 40.40836 63.52807 23.11971 111.4862 40.40836 63.91117 23.50281 111.695 40.40836 63.91117 23.50281 111.695 40.40836 63.52807 23.11971 111.4862 40.40836 62.37634 21.96798 110.7985 40.40836 60.45035 20.04199 109.4232 40.40836 57.74749 17.33913 106.9226 40.40836 54.28287 13.87451 102.4604 40.40836 50.1195 9.711138 94.57963 40.40836 45.41451 5.00615 81.49071 40.40836 40.40836 0 63.46563 附录5 问题三计算程序MATLAB代码 clc;clear
global R h w l T tit x y z yk zk y0 z0 N w1 r esp
35
tit='平板折叠会议桌'; R=40; T=3; h=70-T; esp=0.001;
q2_Major;%设计尺寸
x = [(-w/2+w1) : w1 : 0]; x = [x -x(end:-1:1)]; y = -sqrt(R.^2-x.^2); z = x*0;
numb = [1:n];%木条编号 len = l/2 + y ;%木条长度 cy=[]; cz=[]; times=1;
for cita=0: asin(h/len(1)) / times:asin(h/len(1)) %计算钢筋位置
y0=-r*cos(cita)+y(1); z0=-r*sin(cita); cy=[cy y0]; cz=[cz z0]; %计算桌脚点坐标 for i=1:n
[yk(i) zk(i)]=f1( cita , y(i),y0 , z0); end flag=0; for i=2:n
if ( yk(i) - yk(i-1) ) <0 &(i*2 %判断桌脚点正负 if flag>0 for i=flag:n-flag+1 yk(i) =f2(cita,y(i) ,y0, z0); end end SL=40; y=y-SL/2; yk=yk-SL/2; %plotpic; %saveas(1,sprintf([tit 'cita=%.4f.png'],cita)); y=y+SL/2; 36 yk=yk+SL/2; end y=y-SL/2; yk=yk-SL/2; output; % %钢筋位置示意图 % figure % hold on; % title('钢筋运动轨迹图') % % for i=1:length(cz) % plot3 ( [cy(i) cy(i)] , [-25 25 ] , [cz(i) cz(i)] , 'r--'); % end clc;clear global R h w l T tit x y z yk zk y0 z0 N w1 r esp tit='家庭创意折叠桌'; R=40; T=3; h=70-T; esp=0.0005;%求解精度 q2_Major;%设计尺寸 x = [(-w/2+w1) : w1 : 0]; x = [x -x(end:-1:1)]; y = -sqrt(R.^2-x.^2); z = x*0; numb = [1:n];%木条编号 len = l/2 + y ;%木条长度 cy=[]; cz=[]; times=1; for cita=0: asin(h/len(1)) / times:asin(h/len(1)) %计算钢筋位置 y0=-r*cos(cita)+y(1); z0=-r*sin(cita); cy=[cy y0]; cz=[cz z0]; %计算桌脚点坐标 for i=1:n [yk(i) zk(i)]=f1( cita , y(i),y0 , z0); end flag=0; 37 for i=2:n if ( yk(i) - yk(i-1) ) <0 &(i*2 %判断桌脚点正负 if flag>0 for i=flag:n-flag+1 yk(i) =f2(cita,y(i) ,y0, z0); end end a=2; b=3; %plotpic; %saveas(1,sprintf([tit 'cita=%.4f.png'],cita)); y=y*a/b; yk=yk*a/b; end y=y*b/a; yk=yk*b/a; output; % %钢筋位置示意图 % figure % hold on; % title('钢筋运动轨迹图') % % for i=1:length(cz) % plot3 ( [cy(i) cy(i)] , [-25 25 ] , [cz(i) cz(i)] , 'r--'); % end clear;clc global a h w l T tit x y z yk zk y0 z0 n w1 r esp tit='六边形创意折叠桌'; a=40; T=3; h=70-T; esp=0.05; L=sqrt(3)/2*a; [l,w,T,n,w1,V,C,r]=q2_Major ( a , h ); %设计尺寸 clear x y z yk zk; x = [(-w/2+w1) : w1 : 0]; x = [x -x(end:-1:1)]; for i=1:(n/2) 38