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Exact analysis of simply supported rhombic plates under uniform pressure

Published online by Cambridge University Press:  24 October 2008

K. Rajaiah  and
Akella Kameswara Rao
K. Rajaiah
Affiliation:
Indian Institute of Science, Bangalore 12, India
Akella Kameswara Rao
Affiliation:
Indian Institute of Science, Bangalore 12, India
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Abstract

The simply supported rhombic plate under transverse load has received extensive attention from elasticians, applied mathematicians and engineers. All known solutions are based on approximate procedures. Now, an exact solution in a fast converging explicit series form is derived for this problem, by applying Stevenson's tentative approach with complex variables. Numerical values for the central deflexion and moments are obtained for various corner angles. The present solution provides a basis for assessing the accuracy of approximate methods for analysing problems of skew plates or domains.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 381 - 388
Copyright
Copyright © Cambridge Philosophical Society 1974

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