Shear deformation effect in flexural-torsional buckling analysis of beams of arbitrary cross section by BEM

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T01:34:35Z
dc.date.available	2014-03-01T01:34:35Z
dc.date.issued	2010	en
dc.identifier.issn	1225-4568	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20762
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77955974026&partnerID=40&md5=11d020ded20834aa26e6e22461510224	en
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Elastic stability	en
dc.subject	Fiexural-torsional buckling	en
dc.subject	Flexural	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear deformation	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Bar	en
dc.subject.other	Beam	en
dc.subject.other	Boundary elements	en
dc.subject.other	Elastic stability	en
dc.subject.other	Flexural	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Torsional buckling	en
dc.subject.other	Twist	en
dc.subject.other	Warping	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Buckling	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Shear deformation	en
dc.subject.other	Torsional stress	en
dc.subject.other	Weaving	en
dc.subject.other	Boundary element method	en
dc.title	Shear deformation effect in flexural-torsional buckling analysis of beams of arbitrary cross section by BEM	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper a boundary element method is developed for the general fiexural-torsional buckling analysis of Timoshenko beams of arbitrarily shaped cross section. The beam is subjected to a compressive centrally applied concentrated axial load together with arbitrarily axial, transverse and torsional distributed loading, while its edges are restrained by the most general linear boundary conditions. The resulting boundary value problem, described by three coupled ordinary differential equations, is solved employing a boundary integral equation approach. All basic equations are formulated with respect to the principal shear axes coordinate system, which does not coincide with the principal bending one in a nonsymmetrie cross section. To account for shear deformations, the concept of shear deformation coefficients is used. Six coupled boundary value problems are formulated with respect to the transverse displacements, to the angle of twist, to the primary warping function and to two stress functions and solved using the Analog Equation Method, a BEM based method. Several beams are analysed to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. The range of applicability of the thin-walled theory and the significant influence of the boundary conditions and the shear deformation effect on the buckling load are investigated through examples with great practical interest.	en
heal.publisher	TECHNO-PRESS	en
heal.journalName	Structural Engineering and Mechanics	en
dc.identifier.isi	ISI:000281382000002	en
dc.identifier.volume	35	en
dc.identifier.issue	2	en
dc.identifier.spage	141	en
dc.identifier.epage	173	en