0
RESEARCH PAPERS

Vibration of Elastic Structures With Cracks

[+] Author and Article Information
I. Y. Shen

Department of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, NE 68588-0347

J. Appl. Mech 60(2), 414-421 (Jun 01, 1993) (8 pages) doi:10.1115/1.2900809 History: Received January 09, 1992; Revised June 08, 1992; Online March 31, 2008

Abstract

An analytical algorithm is proposed to represent eigensolutions [λm 2 , ψm (r )]m=1 ∞ of an imperfect structure C containing cracks in terms of crack configuration σc and eigensolutions [ωn 2 , φn (r )]n=1 ∞ of a perfect structured without P the cracks. To illustrate this algorithm on mechanical systems governed by the two-dimensional Helmholtz operator, the Green’s identity and Green’sfunction of P are used to represent ψm (r ) in terms of an infinite series of φn (r ) . Substitution of the ψn (r ) representation into the Kamke quotient of C and stationarity of the quotient result in a matrix Fredholm integral equation. The eigensolutions of the Fredholm integral equation then predict λm 2 and ψm (r ) of C . Finally, eigensolutions of two rectangular elastic solids under antiplane strain vibration, one with a boundary crack and the other with an oblique internal crack, are calculated numerically.

Copyright © 1993 by The American Society of Mechanical Engineers
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