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RESEARCH PAPERS

A Theorem on the Free Vibration of Damped Systems

[+] Author and Article Information
I. Fawzy

Department of Mechanical Design, University of Cairo, Cairo, Egypt

J. Appl. Mech 44(1), 132-134 (Mar 01, 1977) (3 pages) doi:10.1115/1.3423978 History: Received May 01, 1976; Revised July 01, 1976; Online July 12, 2010

Abstract

A damped linear system may oscillate freely (with a decaying motion) in “modes” [1]. Certain sufficient conditions have been found [2-4] under which those modes are the principal modes defined in the absence of damping. A simple condition is established in this paper that is both necessary and sufficient for this to be the case. It admits other, hitherto undisclosed, conditions under which this great simplification can validly be adopted.

Copyright © 1977 by ASME
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