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RESEARCH PAPERS

The Sufficient and Necessary Conditions for Decomposability of Mechanical Systems

[+] Author and Article Information
Zeng-Gang Wang

Hebei Chemical Engineering Institute, People’s Republic of China, The Ohio State University, Columbus, Ohio

J. Vib. Acoust 112(2), 166-174 (Apr 01, 1990) (9 pages) doi:10.1115/1.2930109 History: Received September 15, 1987; Online June 17, 2008

Abstract

Many mechanical systems have the mathematical model as Mẍ + Dẋ + Kx=0. For this mathematical model of systems T. K. Caughey, M. E. J. Kelly, and D. W. Nicholson studied its uncoupling properties and gave out the sufficient and necessary conditions for the complete decomposition of the system. In this paper the author made an effort to develop the results obtained before. The concept of decomposition degree of mechanical system is given and the sufficient and necessary conditions for determining a system to be locally decomposable are obtained. In the last section a system is given which is not completely decomposable but locally decomposable.

Copyright © 1990 by The American Society of Mechanical Engineers
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