0
RESEARCH PAPERS: System Response

Eigenanalysis of the Rigid Body Motion Effect on Elastic Systems

[+] Author and Article Information
A. Maher, A. L. Schlack

Department of Engineering Mechanics, University of Wisconsin, Madison, Wisc.

J. Vib., Acoust., Stress, and Reliab 105(4), 461-466 (Oct 01, 1983) (6 pages) doi:10.1115/1.3269129 History: Received June 28, 1982; Online November 23, 2009

Abstract

In this paper, the influence of rigid body motion on the behavior of a vibrating elastic system is treated by the development of a difference eigenvalue problem. The maximum possible changes in eigenfrequencies due to removal of constraints are obtained by the employment of the bound approach [1, 2]. As an application to a structural system the Rayleigh-Ritz procedure is employed for constructing the difference eigenvalue problem. Discussion of the use of the method for various types of engineering problems is outlined. An example of a free vibration analysis of a simply supported beam in plane motion with a nonuniform mass and elasticity distribution is solved. A comparison between computer calculations and previously published results is presented.

Copyright © 1983 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

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