The Numerical Solution of Dynamically Loaded Elastohydrodynamic Contact as a Nonlinear Complementarity Problem

[+] Author and Article Information
Kong Ping Oh

Mechanical Research Department, General Motors Research Laboratories, Warren, Mich. 48090

J. Tribol 106(1), 88-95 (Jan 01, 1984) (8 pages) doi:10.1115/1.3260872 History: Received March 14, 1983; Online October 29, 2009


A numerical method has been developed for solving the nonlinear differential equation which arises in the elastohydrodynamic contact of bearing surfaces. This method is based upon the finite element approximation of the governing field equation, the Newton-Raphson algorithm for solving nonlinear systems, and the complementarity formulation of free-boundary problems. The lubricated contact between a sphere and a semi-infinite half-space under dynamic loading is analyzed as an illustrative problem.

Copyright © 1984 by ASME
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