A BEM-based meshless method for elastic buckling analysis of plates

Chinnaboon, B; Chucheepsakul, S; Katsikadelis, JT

dc.contributor.author	Chinnaboon, B	en
dc.contributor.author	Chucheepsakul, S	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:25:35Z
dc.date.available	2014-03-01T01:25:35Z
dc.date.issued	2007	en
dc.identifier.issn	0219-4554	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17700
dc.subject	Analog equation method	en
dc.subject	Boundary element method	en
dc.subject	Buckling	en
dc.subject	Elastic plates	en
dc.subject	Meshless	en
dc.subject	Radial basis functions	en
dc.subject	Thin plate splines	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Buckling	en
dc.subject.other	Differential equations	en
dc.subject.other	Elasticity	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Analog equation method	en
dc.subject.other	Elastic plates	en
dc.subject.other	Meshless	en
dc.subject.other	Thin plate splines	en
dc.subject.other	Boundary element method	en
dc.title	A BEM-based meshless method for elastic buckling analysis of plates	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0219455407002162	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0219455407002162	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper, a BEM-based meshless method is developed for buckling analysis of elastic plates with various boundary conditions that include elastic supports and restraints. The proposed method is based on the concept of the Analog Equation Method (AEM) of Katsikadelis. According to this method, the original eigenvalue problem for a governing differential equation of buckling is replaced by an equivalent plate bending problem subjected to an appropriate fictitious load under the same boundary conditions. The fictitious load is established using a technique based on BEM and approximated by using the radial basis functions. The eigenmodes of the actual problem are 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 method has all the advantages of the pure BEM. To validate its effectiveness, accuracy as well as applicability of the proposed method, numerical results of various problems are presented. © World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Structural Stability and Dynamics	en
dc.identifier.doi	10.1142/S0219455407002162	en
dc.identifier.isi	ISI:000250844000004	en
dc.identifier.volume	7	en
dc.identifier.issue	1	en
dc.identifier.spage	81	en
dc.identifier.epage	99	en