0
TECHNICAL BRIEFS

On Degeneracy of Eigenvalues and Recursive Solution of Symmetrically Coupled Dynamic Systems

[+] Author and Article Information
Fan Y. Chen

Department of Mechanical Engineering, Ohio University, Athens, Ohio

J. Appl. Mech 37(4), 1180-1182 (Dec 01, 1970) (3 pages) doi:10.1115/1.3408689 History: Received November 24, 1969; Revised February 13, 1970; Online July 12, 2010

Abstract

Based on mathematical induction, we can prove that the eigenvalues of a special nth order circulant matrix are degenerate. Hence the eigenvibration problem of an n degree-of-freedom symmetrically coupled system with equal masses and equal spring stiffnesses can be solved by direct inspection of the system schematic.

Copyright © 1970 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