Nonlinear analysis of shear deformable beam-columns partially supported on tensionless three-parameter foundation

Sapountzakis, EJ; Kampitsis, AE

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Kampitsis, AE	en
dc.date.accessioned	2014-03-01T01:36:28Z
dc.date.available	2014-03-01T01:36:28Z
dc.date.issued	2011	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21306
dc.subject	Boundary element method	en
dc.subject	Large deflections	en
dc.subject	Nonlinear analysis	en
dc.subject	Nonlinear foundation	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Tensionless foundation	en
dc.subject	Timoshenko beam	en
dc.subject.classification	Mechanics	en
dc.subject.other	Large deflections	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Tensionless foundation	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Axial loads	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Foundations	en
dc.subject.other	Loading	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear flow	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear analysis of shear deformable beam-columns partially supported on tensionless three-parameter foundation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-011-0521-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-011-0521-4	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a boundary element method is developed for the nonlinear analysis of shear deformable beam-columns of arbitrary doubly symmetric simply or multiply connected constant cross-section, partially supported on tensionless three-parameter foundation, undergoing moderate large deflections under general boundary conditions. The beam-column is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to two stress functions and solved using the Analog Equation Method, a BEM-based method. Application of the boundary element technique yields a system of nonlinear equations from which the transverse and axial displacements are computed by an iterative process. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. The proposed model takes into account the coupling effects of bending and shear deformations along the member as well as the shear forces along the span induced by the applied axial loading. Numerical examples are worked out to illustrate the efficiency, wherever possible, the accuracy and the range of applications of the developed method. © 2011 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-011-0521-4	en
dc.identifier.isi	ISI:000297114900006	en
dc.identifier.volume	81	en
dc.identifier.issue	12	en
dc.identifier.spage	1833	en
dc.identifier.epage	1851	en