How to simulate a spherical pendulum in matlab?
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Bas Siebers
il 10 Feb 2015
Commentato: Bas Siebers
il 22 Apr 2015
Hi,
I want to simulate a spherical pendulum in matlab. So far, I have found the equation of motion of the spherical pendulum:
But I haven't a clue how to simulate this. Any help whil be useful.
Kind regards, Bas
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Roger Stafford
il 11 Feb 2015
Modificato: Roger Stafford
il 11 Feb 2015
Bas, you have a sign error in the gravity term. It should be:
-g*sin(phi)/L
Use one of matlab's 'ode' solvers to numerically solve these equations. Read about how to use them at:
http://www.mathworks.com/help/matlab/math/ordinary-differential-equations.html
Note that you would have numerical accuracy difficulty if the angle phi approaches near zero because of the division by sin(phi) in the first equation. At that point theta would change very rapidly. That is inherent in the physical situation as measured by the two angles.
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Roger Stafford
il 26 Feb 2015
Yes, there is a way. If you (carefully!) transform your coordinate system to cartesian coordinates, this problem should not occur. That will require three dependent variables, x, y, and z. A third equation will express the constraint that the distance from the support point is the value 'L'.
As I mentioned, the problem is caused by the nature of the definition of the two angles - when phi is near zero, a small motion can change theta by large amounts. That is an artificial difficulty.
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Youssef Khmou
il 11 Feb 2015
Modificato: Youssef Khmou
il 11 Feb 2015
You can look for solution in this link :
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