Simplified Solution for Elliptical-Contact Deformation Between Two Elastic Solids

[+] Author and Article Information
David E. Brewe

U. S. Army Air Mobility R&D Laboratory, Cleveland, Ohio

Bernard J. Hamrock

NASA, Lewis Research Center, Cleveland, Ohio

J. of Lubrication Tech 99(4), 485-487 (Oct 01, 1977) (3 pages) doi:10.1115/1.3453245 History: Received July 01, 1976; Revised August 25, 1976; Online October 20, 2010


A linear regression by the method of least squares is made on the geometric variables that occur in the equation for elliptical-contact deformation. The ellipticity and the complete elliptic integrals of the first and second kind are expressed as a function of the x, y-plane principal radii. The ellipticity was varied from 1 (circular contact) to 10 (a configuration approaching line contact). The procedure for solving for these variables without the use of charts or a high-speed computer would be quite tedious. These simplified equations enable one to calculate easily the elliptical-contact deformation to within 3 percent accuracy without resorting to charts or numerical methods.

Copyright © 1977 by ASME
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