Closed-Form, Steady-State Solution for the Unbalance Response of a Rigid Rotor in Squeeze Film Damper

[+] Author and Article Information
D. L. Taylor

Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, N.Y. 14853

B. R. K. Kumar

AiResearch Manufacturing Company, Phoenix, Ariz.

J. Eng. Power 105(3), 551-556 (Jul 01, 1983) (6 pages) doi:10.1115/1.3227451 History: Received December 22, 1981; Online September 28, 2009


This paper considers the steady-state response due to unbalance of a planar rigid rotor carried in a short squeeze film damper with linear centering spring. The damper fluid forces are determined from the short bearing, cavitated (π film) solution of Reynold’s equation. Assuming a circular centered orbit, a change of coordinates yields equations whose steady-state response are constant eccentricity and phase angle. Focusing on this steady-state solution results in reducing the problem to solutions of two simultaneous algebraic equations. A method for finding the closed-form solution is presented. The system is nondimensionalized, yielding response in terms of an unbalance parameter, a damper parameter, and a speed parameter. Several families of eccentricity-speed curves are presented. Additionally, transmissibility and power consumption solutions are present.

Copyright © 1983 by ASME
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