dc.contributor.author Mochida, Yusuke dc.date.accessioned 2012-05-08T02:58:41Z dc.date.available 2012-05-08T02:58:41Z dc.date.copyright 2012-03 dc.date.issued 2012 dc.identifier.citation Mochida, Y. (2012). The boundedness of Gorman’s Superposition method for free vibration analysis of plates. Computers & Structures, 104, 38-43. en_NZ dc.identifier.uri https://hdl.handle.net/10289/6298 dc.description.abstract Gorman’s Superposition method is known as one of the most efficient methods to solve the eigenvalue problems of plates because of its excellent convergence rate. However, there are few published results available that provide sufficient information on its boundedness. Here we have considered the nature of convergence of the eigenvalues for rectangular plates with the following sets of boundary conditions, completely free, fully clamped and cantilever. This paper shows numerically, the boundedness of the Superposition method for undamped vibration problems of rectangular isotropic plates subjected to different boundary conditions. The Superposition method gives upper bound results for eigenvalues of plates if the building blocks used in the Superposition method are subjected to stiffer boundary conditions than those of the original system being modelled. In contrast, the Superposition method yields lower bound results if the boundary conditions of building blocks are more flexible than those of the original system. The results would be useful to estimate the maximum possible error if the other bound can be obtained by another method. en_NZ dc.language.iso en dc.publisher Elsevier en_NZ dc.relation.ispartof Computers & Structures dc.relation.uri http://www.sciencedirect.com/science/article/pii/S0045794912000764 en_NZ dc.subject superposition method en_NZ dc.subject vibration en_NZ dc.subject natural frequencies en_NZ dc.subject upper bound en_NZ dc.subject lower bound en_NZ dc.subject plate en_NZ dc.title The boundedness of Gorman’s Superposition method for free vibration analysis of plates en_NZ dc.type Journal Article en_NZ dc.identifier.doi 10.1016/j.compstruc.2012.03.009 en_NZ dc.relation.isPartOf Computers & Structures en_NZ pubs.begin-page 38 en_NZ pubs.elements-id 38407 pubs.end-page 43 en_NZ pubs.volume 104-104 en_NZ uow.identifier.article-no C en_NZ
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