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


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
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