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RESEARCH PAPERS: Gas Turbines: Combustion and Fuels

Effects of Bearing and Shaft Asymmetries on the Resonant Oscillations of a Rotor-Dynamic System

[+] Author and Article Information
R. Ganesan

Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada H3G 1M8

J. Eng. Gas Turbines Power 118(1), 107-114 (Jan 01, 1996) (8 pages) doi:10.1115/1.2816525 History: Received September 11, 1994; Online November 19, 2007

Abstract

Parametric steady-state vibrations of an asymmetric rotor while passing through primary resonance and the associated stability behavior are analyzed. The undamped case is considered and the equations of motion are rewritten in a from suitable for applying the method of multiple scales. Sensitivity to the bearing as well as shaft asymmetries of the oscillations due to unbalance excitation is evaluated. Expressions for amplitude and frequency modulation functions are obtained and are specialized to yield the steady-state solutions near primary resonance. Frequency-amplitude relationships that result from combined parametric and mass unbalance excitations are derived. Stability regions in the parameter space are obtained based on the time evolution of the amplitude and phase of the steady-state motions. The effects of bearing asymmetry on the amplitude and phase of the resonant oscillations are brought out. The sensitivity of vibrational and stability characteristics to various rotor-dynamic system parameters is illustrated through a numerical investigation.

Copyright © 1996 by The American Society of Mechanical Engineers
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