Numerical instability of spherical pendulum
2 views (last 30 days)
Show older comments
Hi,
I am trying to simulate a spherical pendulum. The equation of motion of the spherical pendulum are:
So far, I was able to simulate the equation of motion with a ode45 solver. However I experiencing numerical instabilities when the phi angle approach zero.
Does any one have an idea to get rid off these numerical instabilities?
Thank you in advance,
Bas
0 Comments
Accepted Answer
Mischa Kim
on 25 Feb 2015
Bas, the plus sign in your equation does look a bit strange. Shouldn't that be a minus instead?
8 Comments
Mischa Kim
on 26 Feb 2015
Angular momentum is conserved (constant), not azimuth rate. The equation for the angular momentum is
m*l^2*sin(phi)^2*thetadot = const.
Therefore, when phi decreases, thetadot increases, just like described above.
More Answers (0)
See Also
Products
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!