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RESEARCH PAPERS: Gas Turbines: Structures and Dynamics

Steady-State Response of Continuous Nonlinear Rotor-Bearing Systems Using Analytical Approach

[+] Author and Article Information
J. W. Zu, Z. Y. Ji

Department of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8

J. Eng. Gas Turbines Power 120(4), 751-758 (Oct 01, 1998) (8 pages) doi:10.1115/1.2818463 History: Received July 01, 1997; Online November 19, 2007

Abstract

A continuous modeling of nonlinear rotor-bearing systems is presented in this paper. The shaft is treated as a distributed parameter system using Timoshenko beam theory. A close form, steady-state response of the system is solved analytically for the first time. For cubic nonlinear bearings, the response is composed of three components, synchronous vibration, subsynchronous, and supersynchronous vibration. The harmonic balance method is used to calculate the nonlinear bearing forces. Two examples of nonlinear rotor-bearing systems are shown to illustrate the analysis procedure and the nonlinear characteristics of the system. Solutions from simplified systems are also derived for comparison.

Copyright © 1998 by The American Society of Mechanical Engineers
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