Stability of Sliding Frictional Surfaces with Varying Normal Force

[+] Author and Article Information
P. E. Dupont, D. Bapna

Aerospace and Mechanical Engineering, Boston University, Boston, MA 02215

J. Vib. Acoust 116(2), 237-242 (Apr 01, 1994) (6 pages) doi:10.1115/1.2930418 History: Received June 01, 1993; Online June 17, 2008


This paper presents the stability analysis of a single degree-of-freedom elastic system following a rate-and state-dependent friction law. Normal force is assumed to depend on the displacement, velocity and acceleration of the sliding interface. The history dependence of friction on normal force is included in the analysis. It is shown that to achieve steady sliding, system stiffness must exceed a critical value which depends on the expression for normal force. A system in which normal force depends on spring displacement is analyzed in detail. These results indicate that the functional dependence of normal force on system state can have a significant effect on the stability of low-velocity motion.

Copyright © 1994 by The American Society of Mechanical Engineers
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