Buckling of plates with variable thickness - An analog equation solution

Nerantzaki, MS; Katsikadelis, JT

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:11:46Z
dc.date.available	2014-03-01T01:11:46Z
dc.date.issued	1996	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11804
dc.subject	Boundary element method	en
dc.subject	Buckling	en
dc.subject	Elastic plate	en
dc.subject	Variable thickness	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary element method	en
dc.subject.other	Buckling	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Finite difference method	en
dc.subject.other	Finite element method	en
dc.subject.other	Integral equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Analog equation method	en
dc.subject.other	Fictitious load	en
dc.subject.other	Variable coefficients	en
dc.subject.other	Variable thickness	en
dc.subject.other	Plates (structural components)	en
dc.title	Buckling of plates with variable thickness - An analog equation solution	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(96)00045-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(96)00045-8	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	In this paper the analog equation method (AEM) is applied to buckling analysis of plates with variable thickness. According to this method the displacement and its derivatives in the fourth order partial differential equation with variable coefficients are expressed in terms of a fictitious load which is established from the integral equation solution of an adjoint analog equation. The original eigenvalue problem for a differential equation of buckling is converted into a typical linear eigenvalue problem for the discrete values of the fictitious load, from which the buckling loads are established numerically. Numerical results are presented which illustrate the effectiveness of the proposed method. © 1997 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(96)00045-8	en
dc.identifier.isi	ISI:A1996WF41000007	en
dc.identifier.volume	18	en
dc.identifier.issue	2	en
dc.identifier.spage	149	en
dc.identifier.epage	154	en