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Double Fourier series and boundary value problems

Published online by Cambridge University Press:  24 October 2008

A. E. Green
A. E. Green
Affiliation:
The UniversityDurham
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Extract

1. Problems in elasticity which are concerned with isotropic rectangular plates have attracted the attention of many writers both from the theoretical and practical points of view. When the boundary conditions are of the simply supported type the solution of the problems is usually simple, although when double Fourier series are used the validity of such solutions is not very clearly shown in most cases. Satisfactory exact solutions for many classical problems in which the edges of the rectangular plate are clamped have only been obtained in recent years, but approximate strain energy methods often gave results which were useful for practical purposes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 3 , November 1944 , pp. 222 - 228
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

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