A BEM-based meshless method for plates on biparametric elastic foundation with internal supports

Chinnaboon, B; Katsikadelis, JT; Chucheepsakul, S

dc.contributor.author	Chinnaboon, B	en
dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Chucheepsakul, S	en
dc.date.accessioned	2014-03-01T01:25:37Z
dc.date.available	2014-03-01T01:25:37Z
dc.date.issued	2007	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17701
dc.subject	boundary element method	en
dc.subject	meshless	en
dc.subject	analog equation	en
dc.subject	plates	en
dc.subject	biparametric elastic foundation	en
dc.subject	internal supports	en
dc.subject	multiquadrics	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	INTEGRAL-EQUATION METHOD	en
dc.subject.other	BOUNDARY-ELEMENT METHOD	en
dc.subject.other	CLAMPED PLATES	en
dc.subject.other	2-PARAMETER FOUNDATION	en
dc.title	A BEM-based meshless method for plates on biparametric elastic foundation with internal supports	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2007.02.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2007.02.012	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper a BEM-based meshless method is developed for the analysis of plates on a biparametric elastic foundation which, in addition to the boundary supports, are also supported inside the domain on isolated points (a group of plies) and/or line supports (continuous plates). The presented method is achieved using the concept of the analog equation method (AEM) of Katsikadelis. According to this method the original governing differential equation is replaced by an equivalent problem for plates without internal supports not resting on an elastic foundation subjected to an "appropriate" fictitious load in addition to the transverse external loads under the same boundary conditions. The fictitious load is established using a technique based on BEM and approximated by radial basis functions series. The solution of the actual problem is obtained from the known integral representation of the solution for the classical plate bending problem, which is derived using the fundamental solution of the biharmonic equation. Thus, the kernels of the boundary integral equations are conveniently established and evaluated. The presented method has all the advantages of the pure BENI. To validate the effectiveness, accuracy as well as the applicability of the proposed method, numerical results of various example problems are presented. (C) 2007 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING	en
dc.identifier.doi	10.1016/j.cma.2007.02.012	en
dc.identifier.isi	ISI:000248605400007	en
dc.identifier.volume	196	en
dc.identifier.issue	33-34	en
dc.identifier.spage	3165	en
dc.identifier.epage	3177	en