Rolling ball on 3D surface

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Angelo Charry 2019-2-7

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https://ww2.mathworks.cn/matlabcentral/answers/443770-rolling-ball-on-3d-surface

编辑： James Tursa 2019-2-7

Hi,

For a school project I need to study the dynamic of a ball. I already finished the flight and bouncing dynamic but now I need to make it roll on any 3D surface using ode45.

I came with this idea :

function F = Roulement(t,Y)
P = Parametres() ;
g = P.gravite ;
n = normale(Y(1),Y(2),'terrain')
ez=[0,0,1]';
F = [Y(4);Y(5);Y(6);g*(n*ez)*n(1);g*(n*ez)*n(2);g*(n*ez)*n(3)-g];

Where normale return the normal vector for the point (Y(1),Y(2)) of the function terrain (the 3D surface), Roulement is the function that I will next give to ode45.

Of course it can't work because Y(1) and Y(2) are not scalars. So what should I do ?

Thanks

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James Tursa 2019-2-7

编辑：James Tursa 2019-2-7

This really looks like a sliding point mass simulation, not a rolling ball simiulation. Why aren't Y(1) and Y(2) scalars? Do you have a 6-element state vector (3 position and 3 velocity)? Can you tell us more about how you have set this problem up?

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