Plot a moving wheel in the 3D space

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Hi,

I need to plot a wheel moving in the 3D space, for example a rolling wheel in a circumferential trajectory, could someone help me to do this?

Thank you all in advance,

Gregory

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Answer 1

darova 2021-7-26

在 MATLAB Online 中打开

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% create model

t = linspace(0,2*pi,10);

[x,y] = pol2cart(t,1);

X = [y*0;y*0;y*0+2;y*0+2];

Y = [y*0;y;y;y*0];

Z = [x*0;x;x;x*0];

h1 = surf(X,Y,Z); % closed cylinder

[x0,y0] = meshgrid(-1:3,-1:10);

h2 = surface(x0,y0,x0*0-1); % plate

% animte

axis equal

for i = 1:10

rotate(h1,[1 0 0],pi/10,[0 0 0])% rotate wheel

y1 = get(h2,'ydata');

set(h2,'ydata', y1-pi/10) %move plate

pause(0.5)

end

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Gregory Cottone 2021-7-30

Dear Darova,

thank you for the answer, the wheel seems to go ahead, but what I need is a wheel able to follow a curvilinear trajectory, in particular, in your script the rotation axis is always oriented along global x-axis, but I need a wheel with rotation axis changing orientation during the animation.

Thank you in advance and best regards,

Gregory

darova 2021-7-30

在 MATLAB Online 中打开

Here is

t = 0:.1:50; % wheel velocity

p = pi/4+t/30; % angular velocity around Z axis

x = (t+cos(-t)) .* cos(p);

y = (t+cos(-t)) .* sin(p);

z = 1 + sin(-t);

surf([x;x],[y;y],[z;z-.3])

% view(90,90)

xlabel('x')

ylabel('y')

light

axis equal

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