Pivoted Plane Pad Bearings: A Variational Solution

[+] Author and Article Information
A. Szeri

Mechanical Engineering, University of Pittsburgh, Pittsburgh, Pa.

D. Powers

Mathematics, Clarkson College of Technology, Potsdam, N. Y.

J. of Lubrication Tech 92(3), 466-472 (Jul 01, 1970) (7 pages) doi:10.1115/1.3451443 History: Received June 16, 1969; Online October 18, 2010


It is known that the solution of Reynolds’ equation for the plane pad bearing presents no theoretical, but much computational, difficulty. In this paper, after a classical separation of variables is effected, the eigenvalue problem that arises is replaced by a Rayleigh-Ritz matrix. Then it is shown that the design variables of the bearing—all of which depend on integrals of the pressure—can be calculated quite accurately from inner products involving two vectors and a function of the Rayleigh-Ritz matrix, without solving any eigenvalue problem.

Copyright © 1970 by ASME
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