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RESEARCH PAPERS

Some Stability Results for General Linear Lumped-Parameter Dynamic Systems

[+] Author and Article Information
M. Ahmadian

Mechanical Engineering Department, Clemson University, Clemson, S.C. 29634-0921

D. J. Inman

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

J. Appl. Mech 53(1), 10-14 (Mar 01, 1986) (5 pages) doi:10.1115/1.3171695 History: Received September 01, 1984; Revised February 01, 1985; Online July 21, 2009

Abstract

A technique is presented for stability of equilibrium of general, linear, lumped-parameter dynamic systems. Liapunov functions are used to develop stability conditions that are direct in terms of the mass, damping, and stiffness matrices. The significance of what is presented here is twofold. First, this technique can be applied to general asymmetric systems. Second, it offers direct conditions that can easily be programmed on a digital computer to handle high-order systems. Many previously developed results, such as the KTC theorem and its extensions, are mentioned. Next, it is shown that the present study may provide broader applications because general systems are included and a more convenient approach is offered. Examples are used to illustrate the validity and applications of the presented results.

Copyright © 1986 by ASME
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