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The transverse flexure of uniformly loaded curvilinear and rectilinear polygonal plates

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali  and
F. R. Barsoum
W. A. Bassali
Affiliation:
University of Alexandria
F. R. Barsoum
Affiliation:
University of Alexandria
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Abstract

Complex variable methods are applied to derive exact solutions in closed forms for the small deflexions of uniformly loaded thin isotropic plates bounded by regular curvilinear polygonal contours having n sides. The supported boundary is either clamped or has equal boundary cross-couples. For rectilinear edges the latter conditions agree with those for a simply supported boundary. The plates taken in the z-plane are conformally mapped on the unit circle in the ζ-plane by the general mapping function

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 523 - 540
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

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