Derivatives of Eigenvalues for Torsional Vibration of Geared Shaft Systems

[+] Author and Article Information
Liu Zhong-Sheng, Chen Su-Huan, Xu Tao

Dept. of Mechanics, Jilin University of Technology, 130022 Changchun, P. R. China

J. Vib. Acoust 115(3), 277-279 (Jul 01, 1993) (3 pages) doi:10.1115/1.2930345 History: Received July 01, 1991; Revised November 01, 1991; Online June 17, 2008


Design sensitivity analysis of natural frequency for geared shaft systems is of practical importance in the optimal design of these systems. This note provides a simple and easily implemented method to calculate the eigenvalue derivatives of a geared shaft system with respect to a design parameter ν, including gear inertia J, shaft stiffness K, and transmission ratio Q, when the eigensolution is known. An example is given to illustrate the method.

Copyright © 1993 by The American Society of Mechanical Engineers
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