The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method

[+] Author and Article Information
An-Chen Lee, Yuan-Pin Shih, Yuan Kang

Department of Mechanical Engineering, National Chiao Tung University, Taiwan, R.O.C.

J. Vib. Acoust 115(4), 490-497 (Oct 01, 1993) (8 pages) doi:10.1115/1.2930377 History: Received May 01, 1992; Online June 17, 2008


A general transfer matrix method (GTMM) is developed in the present work for analyzing the steady-state responses of rotor-bearing systems with an unbalancing shaft. Specifically, we derived the transfer matrix of shaft segments by considering the state variables of shaft in a continuous system sense to give the most general formulation. The shaft unbalance, axial force, and axial torque are all taken into consideration so that the completeness of transfer matrix method for steady-state analysis of linear rotor-bearing systems is reached. To demonstrate the effectiveness of this approach, a numerical example is presented to estimate the effect of three-dimensional distribution of shaft unbalance on the steady-state responses by GTMM and finite element method (FEM).

Copyright © 1993 by The American Society of Mechanical Engineers
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