Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems

The investigation of periodic motions of constrained multibodysystems requires the numerical solution of differential-algebraicboundary value problems. After briefly surveying the basics of periodicmotion analysis the paper presents an extension of projected collocationmethods [6] to a special class of boundary value problems for multibodysystem equations with position and velocity constraints. These methodscan be applied for computing stable as well as unstable periodicmotions. Furthermore they provide stability information, which can beused to detect bifurcations on periodic branches. The special class ofequations stemming from contact problems like in railroad systems [22]can be handled as well. Numerical experiments with a wheelset modeldemonstrate the performance of the algorithms.

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