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Separated Solution Procedure for Bending of Circular Plates With Circular Holes

[+] Author and Article Information
M. D. Bird, C. R. Steele

Division of Applied Mechanics, Stanford University, Stanford CA 94305

Appl. Mech. Rev 44(11S), S27-S35 (Nov 01, 1991) doi:10.1115/1.3121366 History: Online April 30, 2009

Abstract

A separated solution procedure is presented for the two-dimensional bi-harmonic equation on circular domains with circular holes and arbitrary boundary conditions. The solutions use the traditional trigonometric Fourier series on the boundaries with a power series decay into the domain. The interaction of the boundaries is expressed simply and exactly resulting in quick processing time. The only simplification made is the use of a finite number of terms in the boundary conditions.

Copyright © 1991 by American Society of Mechanical Engineers
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