Nonlinear analysis of non-uniform beams on nonlinear elastic foundation

Tsiatas, GC

dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:33:55Z
dc.date.available	2014-03-01T01:33:55Z
dc.date.issued	2010	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20620
dc.subject	Boundary Condition	en
dc.subject	Boundary Integral Equation	en
dc.subject	Cross Section	en
dc.subject	Load Distribution	en
dc.subject	Nonlinear Analysis	en
dc.subject	Nonlinear Boundary Condition	en
dc.subject	Nonlinear Differential Equation	en
dc.subject	Nonlinear Elasticity	en
dc.subject	Nonlinear Problem	en
dc.subject	Nonlinear Response	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Coupled nonlinear differential equations	en
dc.subject.other	Elastic foundation	en
dc.subject.other	Governing equations	en
dc.subject.other	Linear analysis	en
dc.subject.other	Load distributions	en
dc.subject.other	Mathematical problems	en
dc.subject.other	Non-linear boundary conditions	en
dc.subject.other	Non-linear response	en
dc.subject.other	Nonlinear elastic foundation	en
dc.subject.other	Nonlinear problems	en
dc.subject.other	Nonuniform beam	en
dc.subject.other	Pasternak	en
dc.subject.other	Variable coefficients	en
dc.subject.other	Winkler	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Foundations	en
dc.subject.other	Linearization	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear analysis of non-uniform beams on nonlinear elastic foundation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-009-0174-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-009-0174-3	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper a boundary integral equation solution to the nonlinear problem of non-uniform beams resting on a nonlinear triparametric elastic foundation is presented, which permits also the treatment of nonlinear boundary conditions. The nonlinear subgrade model which describes the foundation includes the linear and nonlinear Winkler (normal) parameters and the linear Pasternak (shear) foundation parameter. The governing equations are derived in terms of the displacements for nonlinear analysis in the deformed configuration and for linear analysis in the undeformed one. Moreover, as the cross-sectional properties of the beam vary along its axis, the resulting coupled nonlinear differential equations have variable coefficients which complicate the mathematical problem even more. Their solution is achieved using the analog equation method of Katsikadelis. Several beams are analyzed under various boundary conditions and load distributions, which illustrate the method and demonstrate its efficiency and accuracy. Finally, useful conclusions are drawn from the investigation of the nonlinear response of non-uniform beams resting on nonlinear elastic foundation. © Springer-Verlag 2009.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-009-0174-3	en
dc.identifier.isi	ISI:000271024800011	en
dc.identifier.volume	209	en
dc.identifier.issue	1-2	en
dc.identifier.spage	141	en
dc.identifier.epage	152	en