The polygon-circle paradox and convergence in thin plate theory-Reference-Cited by-同舟云学术

The polygon-circle paradox and convergence in thin plate theory

Published:1973-01 Issue:1 Volume:73 Page:279-282
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Murray N. W.

Abstract

AbstractThe solution for a simply supported many-sided polygonal plate does not agree with that for the corresponding circular plate. This paper describes the earlier work of Rao and Rajaiah on polygonal plates and then explains why best convergence of series solutions occurs when the boundary conditions are defined as

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. Effect of boundary condition description on convergence of solution in a boundary-value problem

2. Polygon-circle paradox of simply supported thin plates under pressure;Rao;AIAA Journal,1968

3. On limiting cases in the flexure of simply supported regular polygonal plates

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3. The Plate Paradox for Hard and Soft Simple Support;SIAM Journal on Mathematical Analysis;1990-05

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