Model Reduction of Coulomb Friction Damped Systems Using Singular Perturbation Theory

[+] Author and Article Information
B. S. Heck

School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332

A. A. Ferri

School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Dyn. Sys., Meas., Control 118(1), 84-91 (Mar 01, 1996) (8 pages) doi:10.1115/1.2801155 History: Received February 25, 1994; Revised January 05, 1995; Online December 03, 2007


This paper presents an extension of singular perturbation theory for use in the analysis of mechanical systems with dry (Coulombic) friction. Standard singular perturbation techniques cannot be applied due to the discontinuity inherent with dry friction. A methodology is developed to obtain a reduced-order piecewise-smooth model that recovers the slow motion of the system throughout the entire state space. Both a zeroth-order and a first-order approximation are obtained. The method is demonstrated successfully on a numerical example. A proof of the validity of the method is contained in the Appendix.

Copyright © 1996 by The American Society of Mechanical Engineers
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