Dynamic Modeling and Stability Analysis of Mechanical Systems with Time-Varying Topologies

[+] Author and Article Information
Yu Wang

Department of Mechanical Engineering, University of Maryland, Baltimore, MD 21228

J. Mech. Des 115(4), 808-816 (Dec 01, 1993) (9 pages) doi:10.1115/1.2919272 History: Received January 01, 1990; Revised April 01, 1991; Online June 02, 2008


A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of a Poincaré map rather than following the traditional methods of differential equations. The model provides a set of well-defined and naturally-discrete equations of motion and is capable of giving physical insights of dynamic characteristics of deadbeat convergence of multiple collisions and periodic or chaotic responses. The development of a dynamic model and a local stability analysis are presented.

Copyright © 1993 by The American Society of Mechanical Engineers
Topics: Stability , Modeling
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