0
RESEARCH PAPERS

Asymptotic Analysis of the Axisymmetric Vibrations of Shells

[+] Author and Article Information
E. W. Ross

U. S. Army Materials Research Agency, Watertown, Mass.

J. Appl. Mech 33(1), 85-92 (Mar 01, 1966) (8 pages) doi:10.1115/1.3625031 History: Received February 09, 1965; Revised June 29, 1965; Online September 15, 2011

Abstract

An asymptotic analysis is carried out for the equations of axisymmetric vibrations of thin shells, somewhat analogous to the procedure by which geometrical optics is obtained from electromagnetic theory. It is found that two types of asymptotic solutions are obtained, roughly classifiable as high-frequency membrane solutions and bending solutions. Two explicit representations of these solutions are obtained, one for the shallow region of a shell and the other for the nonshallow region. A number of interesting conclusions emerge from the analysis.

Copyright © 1966 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