An Improved Transfer Matrix-Direct Integration Method for Rotor Dynamics

[+] Author and Article Information
Jialiu Gu

Northwestern Polytechnical University, Xi’an, China

J. Vib., Acoust., Stress, and Reliab 108(2), 182-188 (Apr 01, 1986) (7 pages) doi:10.1115/1.3269320 History: Received June 11, 1985; Online November 23, 2009


A transfer matrix-direct integration combined method is proposed, which employs the transfer matrix method to derive the equations of motion of a “characteristic disk,” and uses the direct integration method to determine the critical speeds, modes and unbalance response of a rotor-bearing system, and to analyze its stability. Despite the complexity of the system, the number of governing equations is not greater than eight. For a single-spool rotating system, the number of equations is only four. A transfer matrix for a uniform shaft is derived to consider its distributed mass, moment of inertia and the effect of shearing force. An impedance matrix iteration method is proposed to consider the effect of a complicated bearing-supporting system on the rotor dynamics. Two examples are given, and the results agree satisfactorily with the experiments.

Copyright © 1986 by ASME
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