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TECHNICAL BRIEFS

A Kinetic Friction Model for Viscoelastic Contact of Nominally Flat Rough Surfaces

[+] Author and Article Information
K. Farhang

Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, IL 62901-6603farhang@siu.edu

A. Lim

Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, IL 62901-6603

J. Tribol 129(3), 684-688 (Jan 30, 2007) (5 pages) doi:10.1115/1.2736730 History: Received May 02, 2006; Revised January 30, 2007

Approximate closed-form equations are derived for normal and tangential contact forces of rough surfaces in dry friction. Using an extension of the Greenwood and Tripp (1970, Proc, Inst. Mech. Eng., 185, pp. 625–633) model, in which the derivations permit asperity shoulder-to-shoulder contact and viscoelastic asperity behavior, mathematical formulae are derived for normal and tangential components of the contact force that depend not only on the proximity of the two surfaces but also the rate of approach and relative sliding. A statistical approach is forwarded in which dependence of the asperity tangential contact force on relative tangential velocity of two asperities can be cast as corrective factors in the mathematical description of tangential force. In this regard two corrective coefficients are derived: force directionality corrective coefficient and force–velocity directionality corrective coefficient. The results show that for a moderate to high load ranges the contact force can be analytically described to within 20% accuracy of that from a numerical integration of the contact equations, well below the uncertainties due to surface profile measurement.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Swept area of an infinitesimal arc ds

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Figure 2

Comparison of original (numerical evaluation of the integral form of fne, Eq. 3) and approximation of fne1 at β=140

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Figure 3

Relative percent error of fne at β=10, 50, 75, 100, 120, and 140

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Figure 4

Relative percent error of ftvr at β=10, 50, 75, 100, 120, and 140

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