A Study of the Stability of Externally Pressurized Gas Bearings With Porous Wall by Liapunov’s Direct Method

[+] Author and Article Information
R. Gorez

Department of Applied Mechanics, University of Louvain, Louvain, Belgium

J. of Lubrication Tech 95(2), 204-207 (Apr 01, 1973) (4 pages) doi:10.1115/1.3451771 History: Received June 12, 1972; Online October 18, 2010


Criteria of stability of externally pressurized gas bearings fed through a porous wall are derived from a quadratic Liapunov functional, taking into account the transverse motion of the bearing and the pressure distributions inside the bearing clearance and the porous wall. The stability condition found from this Liapunov functional reduces to the condition previously given by some authors, when the pressure distribution is assumed to be the same as in steady state. Finally, it is shown that the stability domain is increased by diminishing the effective porosity and the thickness of the porous wall.

Copyright © 1973 by ASME
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