A Numerical Procedure for Designing Profiled Rolling Elements

[+] Author and Article Information
K. P. Oh, E. G. Trachman

Engineering Mechanics Department, Research Laboratories, General Motors Corp., Warren, Mich.

J. of Lubrication Tech 98(4), 547-551 (Oct 01, 1976) (5 pages) doi:10.1115/1.3452922 History: Received October 13, 1975; Revised February 12, 1976; Online October 20, 2010


A numerical procedure is developed for studying the pressure and stress distributions resulting from the contact of two elastic bodies. The pressure distribution is obtained by a quadratic programming method such that the resulting displacements satisfy the geometric constraints of the contact problem, and the bodies are in a state of minimum potential energy. The potential method is used to calculate the subsurface stresses due to a constant pressure over a rectangular element. The stresses due to the contact pressure are then obtained by superposition of the contributions of all the elements in the contact area. A small number of elements (5 × 5) provides pressure and stress solutions within two percent of the closed-form solution for quadratic surfaces. For surfaces with abrupt changes in geometry, more elements are required. This procedure can be used to locate an optimum profile for rolling element bearings.

Copyright © 1976 by ASME
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