The Nature of the Temporal Solutions of Damped Distributed Systems With Classical Normal Modes

[+] Author and Article Information
D. J. Inman

Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, N.Y. 14260

A. N. Andry

Department of Mechanical Engineering, Michigan State University, East Lansing, Mich. 48824

J. Appl. Mech 49(4), 867-870 (Dec 01, 1982) (4 pages) doi:10.1115/1.3162629 History: Received December 01, 1981; Revised March 01, 1982; Online July 21, 2009


Conditions under which the time response of certain distributed parameter systems, which are assumed to possess “classical normal” modes, is critically damped, overdamped, or underdamped are presented. The conditions are derived from the definiteness of certain combinations of the coefficient operators of the describing equations. These conditions are compared to previous results and their usefulness is illustrated by examples.

Copyright © 1982 by ASME
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