RESEARCH PAPERS: Vibration and Sound

A Design Criterion for Avoiding Resonance in Lumped Mass Normal Mode Systems

[+] Author and Article Information
A. D. S. Ross, D. J. Inman

Department of Mechanical & Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260

J. Vib., Acoust., Stress, and Reliab 111(1), 48-52 (Jan 01, 1989) (5 pages) doi:10.1115/1.3269822 History: Received February 01, 1988; Revised May 01, 1988; Online November 23, 2009


A simple design criterion that determines whether a normal mode multiple degree of freedom damped linear lumped parameter system can or cannot resonate is presented. The relations are derived based on criteria for resonance in the single degree of freedom case, and on the definiteness of certain combinations of coefficient matrices. An example follows that both numerically verifies the derivation and illustrates the simplicity of implementing the result as a design criterion.

Copyright © 1989 by ASME
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