Theoretical Condition for the Cxy=Cyx Relation in Fluid Film Journal Bearings

[+] Author and Article Information
T. Kato, Y. Hori

The University of Tokyo, Tokyo 113, Japan

J. Tribol 111(3), 426-429 (Jul 01, 1989) (4 pages) doi:10.1115/1.3261942 History: Received May 31, 1988; Online October 29, 2009


A computer program for calculating dynamic coefficients of journal bearings is necessary in designing fluid film journal bearings and an accuracy of the program is sometimes checked by the relation that the cross terms of linear damping coefficients of journal bearings are equal to each other, namely “Cxy = Cyx ”. However, the condition for this relation has not been clear. This paper shows that the relation “Cxy = Cyx ” holds in any type of finite width journal bearing when these are calculated under the following condition: (I) The governing Reynolds equation is linear in pressure or regarded as linear in numerical calculations; (II) Film thickness is given by h = c (1 + κcosθ); and (III) Boundary condition is homogeneous such as p=0 or dp/dn=0, where n denotes a normal to the boundary.

Copyright © 1989 by ASME
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