A General Solution of Reynolds’ Equation for a Full Finite Journal Bearing

[+] Author and Article Information
R. R. Donaldson

University of California, Berkeley, Calif.

J. of Lubrication Tech 89(2), 203-210 (Apr 01, 1967) (8 pages) doi:10.1115/1.3616949 History: Received April 14, 1966; Online July 12, 2011


Reynolds’ equation for a full finite journal bearing lubricated by an incompressible fluid is solved by separation of variables to yield a general series solution. A resulting Hill equation is solved by Fourier series methods, and accurate eigenvalues and eigenvectors are calculated with a digital computer. The finite Sommerfeld problem is solved as an example, and precise values for the bearing load capacity are presented. Comparisons are made with the methods and numerical results of other authors.

Copyright © 1967 by ASME
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