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Abstract: Dynamic Multi-Rigid-Body Systems with Concurrent Distributed Contacts

Dynamic Multi-Rigid-Body Systems with Concurrent Distributed Contacts

Jong-Shi Pang
Jeff Trinkle

Submitted to the Journal of Applied Mechanics

© 1996 JAM. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale, or to reuse any copyrighted component of this work in other works must be obtained from the Journal of Applied Mechanics.

Abstract:

Consider a system of bodies with multiple concurrent contacts. The multi-rigid-body contact problem is to predict the accelerations of the bodies and the normal and friction loads acting at the contacts. This paper presents theoretical results for the multi-rigid-body contact problem under the assumptions that one or more contacts occur over locally planar, finite regions and friction forces are consistent with the maximum work inequality. We present an existence and uniqueness result for this problem under some mild assumptions on the system inputs. The application of our results to three examples is discussed.

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