Normal Mode Uncoupling of Systems with Time Varying Stiffness

[+] Author and Article Information
M. Benton

Engineering R&D Division, E.I. DuPont, Wilmington, Del. 19898

A. Seireg

Department of Mechanical Engineering, The University of Wisconsin, Madison, Wisc. 53706

J. Mech. Des 102(2), 379-383 (Apr 01, 1980) (5 pages) doi:10.1115/1.3254754 History: Received May 29, 1979; Online November 17, 2009


This paper investigates the conditions for transforming coupled systems with time-varying stiffness to normal mode coordinates. The stability regions are determined from the normal mode equations and the effect of model damping on the width of these regions is investigated. An approximate method for uncoupling is also presented which can be used to give good practical solutions in situations where the theoretical necessary conditions are not met. The proposed method can provide a simple and effective tool for the analysis of parametric vibrations for systems with any number of degrees of freedom as in the case of high speed gear trains.

Copyright © 1980 by ASME
Topics: Stiffness
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