Flexural-torsional postbuckling analysis of beams of arbitrary cross section

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T01:33:29Z
dc.date.available	2014-03-01T01:33:29Z
dc.date.issued	2010	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20449
dc.subject	Boundary Condition	en
dc.subject	Boundary Element Method	en
dc.subject	Cross Section	en
dc.subject	Differential Equation	en
dc.subject.classification	Mechanics	en
dc.subject.other	Arbitrary beams	en
dc.subject.other	Arbitrary cross section	en
dc.subject.other	Cross section	en
dc.subject.other	Displacement field	en
dc.subject.other	Elastic supports	en
dc.subject.other	Flexural-torsional	en
dc.subject.other	Galerkin's method	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Governing differential equations	en
dc.subject.other	Large displacements	en
dc.subject.other	Non-linear algebraic system	en
dc.subject.other	Non-linear relationships	en
dc.subject.other	Numerical example	en
dc.subject.other	Polynomial expression	en
dc.subject.other	Postbuckling analysis	en
dc.subject.other	Saint-Venant	en
dc.subject.other	Torsional constant	en
dc.subject.other	Torsional rigidity	en
dc.subject.other	Warping constant	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Rigid structures	en
dc.subject.other	Thin walled structures	en
dc.subject.other	Boundary element method	en
dc.title	Flexural-torsional postbuckling analysis of beams of arbitrary cross section	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-009-0140-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-009-0140-0	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this article, the postbuckling analysis of axially compressed elements of arbitrary cross section is presented taking into account moderately large displacements, moderately large angles of twist and employing nonlinear relationships between bending moments and curvatures. The elements are supported by the most general boundary conditions including elastic support or restraint. Based on Galerkin's method and approximating the displacement field of the element by polynomial expressions the governing differential equations lead to a nonlinear algebraic system. The geometric, inertia, torsion and warping constants of the arbitrary beam cross section are evaluated employing the boundary element method. The proposed formulation does not stand on the assumption of a thin-walled structure and therefore the cross section's torsional rigidity is evaluated exactly without using the so-called Saint-Venant's torsional constant. Both the Wagner's coefficients and the shortening effect are taken into account, while their influence is examined and discussed. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. © Springer-Verlag 2009.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-009-0140-0	en
dc.identifier.isi	ISI:000271024800006	en
dc.identifier.volume	209	en
dc.identifier.issue	1-2	en
dc.identifier.spage	67	en
dc.identifier.epage	84	en