matlab 画x a的直线方程式,用matlab以动画的方式绘制出摆线?x=a(t-sint)?y=a(1-cost)?（a自己赋值）的渐屈线…

clear;

clc;

close;

a=1;

syms t

x=a*(t-sin(t));

y=a*(1-cos(t));

ezplot(x,y,[0,2*pi]),grid on;hold on;

dy=diff(y)/diff(x);

dyy=diff(dy)/diff(x);

xx=x-(1+dy^2)*dy/dyy;%渐屈线的坐标

yy=y+(1+dy^2)/dyy;

M=50;

t=0;

xxx=subs(xx);

yyy=subs(yy);

H1=plot(xxx,yyy,’r’);hold on;grid on;axis([0,7,-2.5,2.5]);

x1=subs(x);

y1=subs(y);

H2=plot([x1,xxx],[y1,yyy],’k–‘);

H3=plot(x1,y1,’ko’);

H4=plot(xxx,yyy,’ro’);

tt=linspace(0,2*pi,M);

for i=1:M

pause(0.2);

t=tt(1:i);

xxx=subs(xx);

yyy=subs(yy);

x1=subs(x);

y1=subs(y);

set(H1,’xdata’,xxx,’ydata’,yyy);

set(H2,’xdata’,[x1(i),xxx(i)],’ydata’,[y1(i),yyy(i)]);

set(H3,’xdata’,x1(i),’ydata’,y1(i));

set(H4,’xdata’,xxx(i),’ydata’,yyy(i));

end

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用MATLAB绘制摆线

摘要：一个圆环在一个圆周轨迹上滚动，本程序绘制其上一点在平面上

留下的轨迹。

程序：

% 实现一个圆在预定轨迹上滚动,圆上一定点留下的轨迹

clc;close

all;clear;

axis([-4,4,-4,4]);hold on;

title(‘摆线的绘制’);

% copyright:

zjliu

% Author’s email: zjliu2001@163.com

set(gcf,’DoubleBuffer’,’on’);

axis

square;

tq=linspace(0,pi*2,200);

plot(2*exp(i*tq),’k’);

z=-2;

xx=z+exp(i*tq)/4;

hc=plot(xx,’r’);

hp=plot(real(xx(1)),imag(xx(1)),’b*’);

ht=plot(real(xx(1)),imag(xx(1)),’b’);

% 摆线

t=0;dt=0.02;

zk=[xx(1)];

omega=20; % 转速

while t

t=t+dt;

dp=t*omega;

z=2*exp(i*[pi*(1-t)]);

xx=z+exp(i*(tq+dp))/4;

zk=[zk,xx(1)];

set(hc,’XData’,real(xx),’YData’,imag(xx));

set(hp,’XData’,real(xx(1)),’YData’,imag(xx(1)));

set(ht,’XData’,real(zk),’YData’,imag(zk));

pause(0.1);

end

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