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Simulation of rigid body dynamics with impact and friction. (English) Zbl 1060.70020
Melnik, Roderick (ed.) et al., New methods in applied and computational mathematics. Proceedings of the 1st NEMACOM workshop, Hervey Bay, Queensland, Australia, July 9, 1998. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5202-4). Proc. Cent. Math. Appl. Aust. Natl. Univ. 38, 67-80 (2000).
The author discusses simulation problems of rigid-body dynamics with discontinuities cuased by impact and friction. A numerical formulation based on polygonal friction cone is proposed to simulate the motion of rigid body with impact and friction. The dynamical process of a thrown ball falling and colliding with one of three balls on a flat table is demonstrated as a numerical example. The convergence of the numerical scheme is discussed. Some open questions are put forward.
MSC:
70E99Dynamics of a rigid body and of multibody systems
70F35Collision of rigid or pseudo-rigid bodies
70F40Problems with friction (particle dynamics)
70-08Computational methods (mechanics of particles and systems)
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