0
RESEARCH PAPERS

Accurate Analytical-Type Solutions for the Free Vibration of Simply-Supported Parallelogram Plates

[+] Author and Article Information
D. J. Gorman

Department of Mechanical Engineering, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada

J. Appl. Mech 58(1), 203-208 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897151 History: Received October 25, 1989; Revised March 16, 1990; Online March 31, 2008

Abstract

A comprehensive study of the free vibration of simply-supported parallelogram plates is conducted. Solutions are obtained by utilizing the superposition method and by taking advantage of symmetry inherent in the problem. Toward this end a new alternating Lévy-type solution is introduced. Verification tests are conducted by comparing computed eigenvalues with those of rhombic plates in the special case where all plate edges are of equal length. Eigenvalues are stored for eight vibration modes and for a wide range of plate geometry.

Copyright © 1991 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