Recent content by Bartok
-
B
Graduate Solving a system of two nonlinear second order ODEs (Mechanical vibrations)
Thanks chiro. I don't have much numerical experience and I was under the impression that the well-known methods are applicable only to linear DEs.- Bartok
- Post #6
- Forum: Differential Equations
-
B
Graduate Solving a system of two nonlinear second order ODEs (Mechanical vibrations)
Yes, I have used the \sin(\theta)\approx\theta assumption but I don't think the \theta\cdot\ddot{\theta} could also be neglected without prior info about the order of \ddot{\theta}. Thank you. Not necessarily looking for an analytic solution. Just wanted to know about the available...- Bartok
- Post #4
- Forum: Differential Equations
-
B
Graduate Solving a system of two nonlinear second order ODEs (Mechanical vibrations)
I was wondering what the common methods for solving such a system are: 2 m \ddot{x} - m l \ddot{θ} θ + k x = 0 m l^{2} \ddot{θ} - m l \ddot{x} θ + m g l θ = 0- Bartok
- Thread
- Mechanical vibrations Nonlinear Odes Second order System Vibrations
- Replies: 6
- Forum: Differential Equations