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Green's functions for thin isotropic plates containing holes

Published online by Cambridge University Press:  24 October 2008

W. A. Bassali  and
R. H. Dawoud
W. A. Bassali
Affiliation:
Faculty of ScienceAlexandria UniversityEgypt
R. H. Dawoud
Affiliation:
Faculty of EngineeringCairo UniversityEgypt
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Abstract

This paper is concerned with the small transverse displacement of an infinite thin plane isotropic plate due to the application of a transverse force applied at an arbitrary point of the plate. The plate has its outer edge free, and is clamped along and bounded internally by a closed curve that can be mapped onto the unit circle by means of a polynomial. Three polynomials are considered and in each of these cases the deflexion is obtained in finite terms. Circular and elliptic holes as well as curvilinear polygonal holes are included as special cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 755 - 763
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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