Prediction of Periodic Response of Rotor Dynamic Systems With Nonlinear Supports

[+] Author and Article Information
Yu Wang

Department of Mechanical Engineering, University of Maryiand, College Park, MD 20742

J. Vib. Acoust 119(3), 346-353 (Jul 01, 1997) (8 pages) doi:10.1115/1.2889730 History: Received December 01, 1994; Revised July 01, 1995; Online February 26, 2008


A numerical-analytical method for estimating steady-state periodic behavior of nonlinear rotordynamic systems is presented. Based on a finite element formulation in the time domain, this method transforms the nonlinear differential equations governing the motion of large rotor dynamic systems with nonlinear supports into a set of nonlinear algebraic equations with unknown temporal nodal displacements. A procedure is proposed to reduce the resulting problem to solving nonlinear algebraic equations in terms of the coordinates associated with the nonlinear supports only. The result is a simple and efficient approach for predicting all possible fundamental and sub-harmonic responses. Stability of the periodic response is readily determined by a direct use of Floquet’s theory. The feasibility and advantages of the proposed method are illustrated with two examples of rotor-bearing systems of deadband supports and squeeze film dampers, respectively.

Copyright © 1997 by The American Society of Mechanical Engineers
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