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RESEARCH PAPERS

Bending of Simply-Supported Elliptic Plates: B.P.M. Solutions With Second-Order Derivative Boundary Conditions

[+] Author and Article Information
R. Parnes

Laboratoire de Mécanique des Solides, Ecole Polytechnique, 91128 Palaiseau, France

J. Appl. Mech 56(2), 356-363 (Jun 01, 1989) (8 pages) doi:10.1115/1.3176090 History: Received February 03, 1987; Revised November 19, 1987; Online July 21, 2009

Abstract

A higher-order boundary perturbation method (B.P.M.) is formulated to treat a class of problems defined in an elliptic domain with associated boundary conditions expressed in terms of second-order derivatives. The method is applied to study a simply-supported elliptic plate subjected to a central lateral point load. The accuracy is investigated and the B.P.M. solution is found to yield highly accurate results for moderately elliptic domains.

Copyright © 1989 by ASME
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