On the Nonaxisymmetric Loading of Nonhomogeneous Annular Plates of Variable Thickness

[+] Author and Article Information
Kai-yuan Yeh

Department of Mechanical Engineering, University of Toronto, Toronto, ON M5S 1A4, Canada

Jien-huo Kue

Southwestern Research and Design Center for Nuclear Reactor Engineering, Zhengtu, P. R. China

F. P. J. Rimrott

Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada

J. Appl. Mech 64(2), 307-312 (Jun 01, 1997) (6 pages) doi:10.1115/1.2787308 History: Revised May 22, 1995; Received October 03, 1995; Online October 25, 2007


In this paper, the stepped reduction method is used to find general solutions for the nonaxisymmetric bending of arbitrary axisymmetric nonhomogeneous annular plates of variable thickness under an arbitrary nonaxisymmetric temperature field and an arbitrary nonaxisymmetric distributed load. In spite of a large number of steps, eventually only two simultaneous algebraic linear equations with two unknowns have to be solved. As an example, the bending of a circular plate, whose solution is known, is carried out by the proposed approach, and it is shown that results obtained by the proposed method compare well with previous solutions obtained by other methods and hence prove the accuracy of the proposed method.

Copyright © 1997 by The American Society of Mechanical Engineers
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