单自由度振动动画
%Tegning af sdof oscillatorclear all;
%System data
m=1.0; zeta=0.01; omega0=1.0; Dt=1.0; f0=1.0; x0=0.0; dotx0=0.0;
xmax=sqrt(x0^2+(dotx0/omega0)^2)+min();
omegad=omega0*sqrt(1-zeta^2); dt0=0.1*pi/omega0; nstep=500;
a=0.70; b=0.70; r=0.35*a; fact=0.50/xmax;
xf0=0.5*'; yf0=';
xd1=0.5*[-a -a a a]'; yd1=[-6*b 0 0 -6*b]';
xd2=0.5*[-0.8*a 0.8*a]'; yd2=[-3*b -3*b]';
xf0=;
yf0=;
xf=; xSQ=[-a 5*a 5*a -a -a]'; ySQ=';
xH=[-2000 2000]'; yH='; xx=x0; tt=0;
set(gcf,'DoubleBuffer','on');
i=1; t=i*dt0; t0=min(); t1=t-t0;
h=exp(-zeta*omega0*t)*sin(omegad*t)/(m*omegad);
doth=exp(-zeta*omega0*t)*(cos(omegad*t)-zeta*omega0/omegad*sin(omegad*t))/m;
H=(1/m-doth-2*zeta*omega0*h)/omega0^2;
h1=exp(-zeta*omega0*t1)*sin(omegad*t1)/(m*omegad);
doth1=exp(-zeta*omega0*t1)*(cos(omegad*t1)-zeta*omega0/omegad*sin(omegad*t1))/m;
H1=(1/m-doth1-2*zeta*omega0*h1)/omega0^2;
if t>Dt
t2=t-Dt; h2=exp(-zeta*omega0*t2)*sin(omegad*t2)/(m*omegad);
doth2=exp(-zeta*omega0*t2)*(cos(omegad*t2)-zeta*omega0/omegad*sin(omegad*t2))/m;
H2=(1/m-doth2-2*zeta*omega0*h2)/omega0^2;
else H2=0; end
x=-f0*H2+f0*(t0/m+h1-h+2*zeta*omega0*(H1-H))/(Dt*omega0^2);
x=x+exp(-zeta*omega0*t)*(x0*cos(omegad*t)+(dotx0+zeta*omega0*x0)*sin(omegad*t)/omegad);
tt=; xx=; x=fact*x;
yf=;
clf; figure(1); subplot(2,1,1); h1=plot(xH,yH,'r'); hold on
h2=plot(xH,yH-6*b+yf0(size(yf0,1))-r,'k');
h3=plot(xf,yf,'r'); h4=plot(4*a+xd1,-3*b+yd1,'r');
h5=plot(4*a*',-3*b*','r'); hej=yf(size(yf,1));
h6=plot(4*a+xd2,(-7*b+yf(size(yf,1))-hej)*ones(2,1),'r');
h7=plot(4*a*',[-7*b+yf(size(yf,1))-hej yf(size(yf,1))]','r');
h8=plot(xSQ,yf(size(yf,1))+ySQ,'r'); hold off
axis([-2 5 -10*b+(1+fact*x0)*yf0(size(yf0,1))-2*r r]);
subplot(2,1,2); h9=plot(xH,yH,'k'); hold on;
h10=plot(tt,-xx,'r'); hold off; axis([ 0 nstep*dt0 -xmax xmax])
% start loop
for i=1:nstep
t=i*dt0; t0=min(); t1=t-t0;
h=exp(-zeta*omega0*t)*sin(omegad*t)/(m*omegad);
doth=exp(-zeta*omega0*t)*(cos(omegad*t)-zeta*omega0/omegad*sin(omegad*t))/m;
H=(1/m-doth-2*zeta*omega0*h)/omega0^2;
h1=exp(-zeta*omega0*t1)*sin(omegad*t1)/(m*omegad);
doth1=exp(-zeta*omega0*t1)*(cos(omegad*t1)-zeta*omega0/omegad*sin(omegad*t1))/m;
H1=(1/m-doth1-2*zeta*omega0*h1)/omega0^2;
if t>Dt
t2=t-Dt; h2=exp(-zeta*omega0*t2)*sin(omegad*t2)/(m*omegad);
doth2=exp(-zeta*omega0*t2)*(cos(omegad*t2)-zeta*omega0/omegad*sin(omegad*t2))/m;
H2=(1/m-doth2-2*zeta*omega0*h2)/omega0^2;
else H2=0; end
x=-f0*H2+f0*(t0/m+h1-h+2*zeta*omega0*(H1-H))/(Dt*omega0^2);
x=x+exp(-zeta*omega0*t)*(x0*cos(omegad*t)+(dotx0+zeta*omega0*x0)*sin(omegad*t)/omegad);
tt=; xx=; x=fact*x;
yf=;
set(h3,'Xdata',xf); set(h3,'Ydata',yf);
set(h4,'Xdata',4*a+xd1); set(h4,'Ydata',-3*b+yd1);
set(h5,'Xdata',4*a*'); set(h5,'Ydata',-3*b*');
set(h6,'Xdata',4*a+xd2); set(h6,'Ydata',(-7*b+yf(size(yf,1))-hej)*ones(2,1));
set(h7,'Xdata',4*a*'); set(h7,'Ydata',[-7*b+yf(size(yf,1))-hej yf(size(yf,1))]');
set(h8,'Xdata',xSQ); set(h8,'Ydata',yf(size(yf,1))+ySQ);
set(h10,'Xdata',tt); set(h10,'Ydata',-xx); pause(0.1)
end
[ 本帖最后由 ChaChing 于 2010-8-12 00:36 编辑 ] 好啊 我运行了一下，觉得很有趣，但是看程序硬是看不懂，
能否请楼主介绍一下编程思路，画个框框图也行啊 太强了 感觉很棒 如果加上控制按钮就更方便了 做得不错！
[ 本帖最后由 eight 于 2007-11-15 23:48 编辑 ] 太牛了 呵呵，很好，我得学习下
[ 本帖最后由 eight 于 2007-12-12 15:53 编辑 ] 顶了 真不错,和上面一个朋友一样有个小小的要求,给出思路让大家学习学习 原帖由 caizi2008 于 2007-12-22 12:50 发表 http://www.chinavib.com/forum/images/common/back.gif
真不错,和上面一个朋友一样有个小小的要求,给出思路让大家学习学习
做动画的总体思路都差不多的，就是动态绘图
慢慢看吧：） 记得论坛中还有一个和这个类似的动画程序，也是有阻尼的单自由度振动，比这个更加精致一些，不过实在找不到了，麻烦有找到的PM我啊，很想学习借鉴一下 太牛了！！！！！！！！