Stability of Sliding in a System Excited by a Rough Moving Surface

[+] Author and Article Information
E. J. Berger, C. M. Krousgrill, F. Sadeghi

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Tribol 119(4), 672-680 (Oct 01, 1997) (9 pages) doi:10.1115/1.2833868 History: Received June 26, 1995; Revised April 01, 1996; Online January 24, 2008


A two-degree-of-freedom translational system has been developed to study the influence of normal force oscillations on the stability of the steady sliding position. Excited by a small, periodic surface roughness, the normal and tangential motion are coupled through a velocity-dependent friction law. The linearized system has been examined using the first-order averaging technique of Krylov and Boguliubov. In addition to the primary forced resonance, a 2:1 parametric resonance and a 1/2 sub-harmonic resonance have been encountered. Arising from velocity-dependent coupling of the normal and tangential modes and the periodic normal force variations, the parametric resonance has been found to produce locally unstable responses in some cases. Conditions for the stability of the local response based upon local friction curve slope, static normal force, system damping, and surface velocity have been derived for a broad range of frequency.

Copyright © 1997 by The American Society of Mechanical Engineers
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