Dynamic Stability of Elastic Rotor-Bearing Systems via Liapunov’s Direct Method

[+] Author and Article Information
Abd Alla El-Marhomy

Department of Engineering, Mathematics, and Physics, Ain Shams University Cairo, Egypt

A. L. Schlack

Department of Engineering Mechanics, University of Wisconsin-Madison, Madison, WI 53706

J. Appl. Mech 58(4), 1056-1063 (Dec 01, 1991) (8 pages) doi:10.1115/1.2897682 History: Received February 23, 1990; Revised July 25, 1990; Online March 31, 2008


A general method of analysis based on Liapunov’s direct method is presented for studying the dynamic stability of elastic rotor-bearing systems. A model comprised of a continuous elastic shaft mounted on two 8-coefficient bearings is used to develop closed-form (series) stability criteria involving system stiffness and damping parameters. It is quantitatively shown by means of graphs how the instability regions are reduced by (a) increasing the shaft dimensionless stiffness parameters, (b) increasing the bearing direct stiffness and damping parameters, and (c) decreasing the bearing cross-coupling stiffness and damping parameters.

Copyright © 1991 by The American Society of Mechanical Engineers
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