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RESEARCH PAPERS: Vibration and Sound

The Development of Natural Modes of Free Vibration for Linear Discrete Systems from the Synchronous Motion Assumption

[+] Author and Article Information
S. F. Felszeghy

Department of Mechanical Engineering, California State University, Los Angeles, Los Angeles, California 90032

J. Vib., Acoust., Stress, and Reliab 111(1), 77-81 (Jan 01, 1989) (5 pages) doi:10.1115/1.3269827 History: Received February 24, 1987; Revised April 27, 1988; Online November 23, 2009

Abstract

By using the method of separation of variables, or more precisely, the method of searching for synchronous motions, conditions are derived under which a linear discrete viscously damped system exhibits free motions of the form of a product of an amplitude vector and a scalar function of time. These motions are the natural modes of the system. In particular, those conditions are investigated under which some but not all of the modal vectors, or mode shapes, of the damped system coincide with the undamped “classical” normal modes.

Copyright © 1989 by ASME
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