A Modified Transfer Matrix Method for Linear Rotor-Bearing Systems

[+] Author and Article Information
An-Chen Lee, Yuan Kang, Shin-Li Liu

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu 30049, Taiwan

J. Appl. Mech 58(3), 776-783 (Sep 01, 1991) (8 pages) doi:10.1115/1.2897263 History: Received September 07, 1989; Revised March 07, 1990; Online March 31, 2008


The steady-state responses of linear flexible rotor-bearing systems are analyzed by the modified transfer matrix method. The transfer matrix has the advantage of solving the problems in frequency domain with fixed matrix size. This makes the method more economical in analyzing a large degree-of-freedom rotor system than many time-marching integrating methods. In this paper, the modifications of transfer matrix method include that the transfer matrix of shaft is derived from the “continuous system” concept instead of conventional “lumped system” concept, and the paper tries to extend the transfer matrix method to fit synchronous elliptical orbit and nonsynchronous multi-lobed whirling orbit. To demonstrate the applications of the method, three examples are presented; two synchronous and one nonsynchronous.

Copyright © 1991 by The American Society of Mechanical Engineers
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