The polygon-circle paradox and convergence in thin plate theory
- 1 January 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 73 (1) , 279-282
- https://doi.org/10.1017/s030500410004768x
Abstract
The 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 asKeywords
This publication has 3 references indexed in Scilit:
- On limiting cases in the flexure of simply supported regular polygonal platesMathematical Proceedings of the Cambridge Philosophical Society, 1969
- Effect of boundary condition description on convergence of solution in a boundary-value problemJournal of Computational Physics, 1968
- Polygon-circle paradox of simply supported thin plates under uniformpressure.AIAA Journal, 1968