On the Stability and Uniqueness of Elastohydrodynamic Lubrication Solutions

[+] Author and Article Information
D. W. Glander, E. J. Bissett

Mathematics Department, General Motors Research Laboratories, Warren, Mich., 48090-9055

J. Tribol 110(4), 628-631 (Oct 01, 1988) (4 pages) doi:10.1115/1.3261704 History: Received February 26, 1988; Online October 29, 2009


It was suggested in [1] that solutions of the line contact problem of elastohydrodynamic lubrication (EHL) are unstable in a certain parameter regime, and that both stable and unstable solutions can coexist in another regime. The author also suggested that these regimes limit the applicability of the standard model equations. In this work, the present authors repeat this calculation using the highly accurate solutions described in our previous work [3]. In all cases we have considered, we find no evidence of instability or multiplicity of solutions. We conclude that the existence of regions of instability or multiplicity were based on numerical artifacts and that considerations of stability or multiplicity do not limit the applicability of the standard model equations of EHL.

Copyright © 1988 by ASME
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