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


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
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In