0
RESEARCH PAPERS

Vibrations of Solid Cylinders

[+] Author and Article Information
J. R. Hutchinson

Department of Civil Engineering, University of California, Davis, Calif. 95616

J. Appl. Mech 47(4), 901-907 (Dec 01, 1980) (7 pages) doi:10.1115/1.3153811 History: Received November 01, 1979; Revised May 01, 1980; Online July 21, 2009

Abstract

A series solution of the general three-dimensional equations of linear elasticity is developed and used to find accurate natural frequencies for the vibrations of solid elastic cylinders with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Results are given for height-to-diameter ratios from zero to two and a frequency parameter ωR/Cs from zero to five and for modes of circumferential order from zero to four. Comparisons of these analytical results with previous experimental results shows excellent agreement.

Copyright © 1980 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