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


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
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.

Related Journal Articles
Related eBook Content
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