Polygon-circle paradox in the finite element analysis of bending of a simply supported plate |
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| Affiliation: | 1. The Joint Graduate School of Energy and Environment, King Mongkut''s University of Technology Thonburi, Bangkok, Thailand;2. Center of Excellence on Energy Technology and Environment (CEE), PERDO, Ministry of Higher Education, Science, Research and Innovation, Bangkok, Thailand;1. School of Natural Sciences and Psychology, Liverpool John Moores University, UK;2. Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Amsterdam, the Netherlands |
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| Abstract: | In this paper, it is shown that the so-called polygon-circle paradox in the analysis of simply supported plates is not a paradox but a consequence of the alteration of boundary conditions due to a polygonal domain-approximation. Simple ways of avoiding potential problems in the analysis of bending of simply supported curved plates, using a polygonal domain approximation, in the context of the finite element method, are presented and demonstrated to be valid. |
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