Shear deformation effect in flexural-torsional buckling analysis of beams using the boundary element method

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T02:51:11Z
dc.date.available	2014-03-01T02:51:11Z
dc.date.issued	2007	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35425
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80053407193&partnerID=40&md5=01560ddf58c6f3762362bf76a0061169	en
dc.subject	Bar	en
dc.subject	Boundary element method	en
dc.subject	Flexural-torsional buckling	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear deformation	en
dc.subject	Timoshenko beam	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.other	Bar	en
dc.subject.other	Boundary elements	en
dc.subject.other	Flexural-torsional buckling	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Timoshenko beams	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	Boundary value problems	en
dc.subject.other	Buckling	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Environmental engineering	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Particle beams	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear flow	en
dc.subject.other	Torsional stress	en
dc.subject.other	Boundary element method	en
dc.title	Shear deformation effect in flexural-torsional buckling analysis of beams using the boundary element method	en
heal.type	conferenceItem	en
heal.publicationDate	2007	en
heal.abstract	In this paper a boundary element method is developed for the general flexuraltorsional buckling analysis of Timoshenko beams of arbitrarily shaped cross section. The beam is subjected to a compressive centrally applied 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. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements as well as the stress resultants are computed at any cross-section of the beam using the respective integral representations as mathematical formulae. 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 nonsymmetric 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 thintube 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. © 2007 Civil-Comp Press.	en
heal.journalName	Proceedings of the 11th International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp 2007	en