Postbuckling analysis of beams of arbitrary cross section using BEM

Dourakopoulos, JA; Sapountzakis, EJ

dc.contributor.author	Dourakopoulos, JA	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:34:19Z
dc.date.available	2014-03-01T01:34:19Z
dc.date.issued	2010	en
dc.identifier.issn	0141-0296	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20694
dc.subject	Boundary element method	en
dc.subject	Large deflections	en
dc.subject	Nonlinear analysis	en
dc.subject	Postbuckling	en
dc.subject	Shear center	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Arbitrary beams	en
dc.subject.other	Axial displacements	en
dc.subject.other	Boundary integrals	en
dc.subject.other	Combined actions	en
dc.subject.other	Cross section	en
dc.subject.other	Curvature relation	en
dc.subject.other	Displacement field	en
dc.subject.other	Elastic supports	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Governing differential equations	en
dc.subject.other	Large deflection	en
dc.subject.other	Large displacements	en
dc.subject.other	Numerical example	en
dc.subject.other	Postbuckling	en
dc.subject.other	Postbuckling analysis	en
dc.subject.other	Saint-Venant	en
dc.subject.other	Second-order approximation	en
dc.subject.other	Shear center	en
dc.subject.other	Simplifying assumptions	en
dc.subject.other	Torsional constant	en
dc.subject.other	Torsional loadings	en
dc.subject.other	Torsional rigidity	en
dc.subject.other	Total potential energy	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Warping constant	en
dc.subject.other	Warping effects	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Nonlinear analysis	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.subject.other	accuracy assessment	en
dc.subject.other	boundary condition	en
dc.subject.other	boundary element method	en
dc.subject.other	buckling	en
dc.subject.other	cross section	en
dc.subject.other	deflection	en
dc.subject.other	displacement	en
dc.subject.other	potential energy	en
dc.subject.other	shear	en
dc.subject.other	structural component	en
dc.title	Postbuckling analysis of beams of arbitrary cross section using BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.engstruct.2010.08.016	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.engstruct.2010.08.016	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, the postbuckling analysis of beams of arbitrary cross section is presented taking into account moderate large displacements, large angles of twist and adopting second order approximations for the deflection-curvature relations. The beam is subjected to the combined action of the arbitrarily distributed or concentrated axial, transverse and torsional loading, while it is supported by the most general boundary conditions including elastic support or restraint. Starting from a displacement field without any simplifying assumptions about the angle of twist amplitude and based on the total potential energy principle, four highly coupled nonlinear governing differential equations are derived taking into account the shortening and warping effects and the Wagner's coefficients due to the asymmetric character of the cross section. The arising four boundary value problems with respect to the transverse displacements, to the axial displacement and the angle of twist are solved using the Analog Equation Method, a BEM based method. The geometric, inertia, torsion and warping constants of the arbitrary beam cross section are evaluated employing only boundary integrals. 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. Numerical examples are worked out to illustrate the efficiency, accuracy and range of applications of the developed method. Conclusions of great practical interest are drawn. (C) 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Structures	en
dc.identifier.doi	10.1016/j.engstruct.2010.08.016	en
dc.identifier.isi	ISI:000283643600027	en
dc.identifier.volume	32	en
dc.identifier.issue	11	en
dc.identifier.spage	3713	en
dc.identifier.epage	3724	en