The BEM for plates of variable thickness on nonlinear biparametric elastic foundation. An analog equation solution

Katsikadelis, JT; Yiotis, AJ

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Yiotis, AJ	en
dc.date.accessioned	2014-03-01T01:19:35Z
dc.date.available	2014-03-01T01:19:35Z
dc.date.issued	2003	en
dc.identifier.issn	0022-0833	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15596
dc.subject	Analog equation	en
dc.subject	Boundary elements	en
dc.subject	Nonlinear foundation	en
dc.subject	Plates	en
dc.subject	Variable thickness	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Elasticity	en
dc.subject.other	Integration	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Stiffness	en
dc.subject.other	Structural loads	en
dc.subject.other	Analog equation method	en
dc.subject.other	Boundary element method	en
dc.subject.other	boundary element method	en
dc.subject.other	plate	en
dc.title	The BEM for plates of variable thickness on nonlinear biparametric elastic foundation. An analog equation solution	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1025074231624	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1025074231624	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	The BEM is developed for the analysis of plates with variable thickness resting on a nonlinear biparametric elastic foundation. The presented solution is achieved using the Analog Equation Method (AEM). According to the AEM the fourth-order partial differential equation with variable coefficients describing the response of the plate is converted to an equivalent linear problem for a plate with constant stiffness not resting on foundation and subjected only to an 'appropriate' fictitious load under the same boundary conditions. The fictitious load is established using a technique based on the BEM and the solution of the actual problem is obtained from the known integral representation of the solution of the substitute problem, which is derived using the static fundamental solution of the biharmonic equation. The method is boundary-only in the sense that the discretization and the integration are performed only on the boundary. To illustrate the method and its efficiency, plates of various shapes are analyzed with linear and quadratic plate thickness variation laws resting on a nonlinear biparametric elastic foundation.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Journal of Engineering Mathematics	en
dc.identifier.doi	10.1023/A:1025074231624	en
dc.identifier.isi	ISI:000184577200009	en
dc.identifier.volume	46	en
dc.identifier.issue	3-4	en
dc.identifier.spage	313	en
dc.identifier.epage	330	en