0
RESEARCH PAPERS

Three-Dimensional Vibrations of Twisted Cantilevered Parallelepipeds

[+] Author and Article Information
A. Leissa, K. I. Jacob

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio

J. Appl. Mech 53(3), 614-618 (Sep 01, 1986) (5 pages) doi:10.1115/1.3171820 History: Received January 29, 1985; Revised September 30, 1985; Online July 21, 2009

Abstract

A large number of references dealing with the vibrations of twisted, cantilevered beams and plates exist in the literature. These works show considerable disagreement concerning the effect of twist angle upon frequencies. The present work is the first three-dimensional study of the problem. Displacement components are assumed in the form of algebraic polynomials which satisfy the fixed face conditions exactly, and which are mathematically complete. The Ritz method is then applied. Accurate frequencies are calculated for twisted thick plates and are compared with ones obtained recently by others using beam, shell, and finite element theory.

Copyright © 1986 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