Lateral 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	2014-03-01T01:30:59Z
dc.date.available	2014-03-01T01:30:59Z
dc.date.issued	2009	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19704
dc.subject	Boundary element method	en
dc.subject	Flexural-torsional buckling	en
dc.subject	Lateral buckling	en
dc.subject	Shear center	en
dc.subject	Transverse loading	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Cross section	en
dc.subject.other	Displacement field	en
dc.subject.other	Elastic supports	en
dc.subject.other	Eurocode 3	en
dc.subject.other	Flexural-torsional buckling	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Large displacements	en
dc.subject.other	Lateral buckling	en
dc.subject.other	Lateral buckling analysis	en
dc.subject.other	Load height	en
dc.subject.other	Non-linear relationships	en
dc.subject.other	Numerical example	en
dc.subject.other	Positive definiteness	en
dc.subject.other	Prebuckling	en
dc.subject.other	Saint-Venant	en
dc.subject.other	Second variation	en
dc.subject.other	Shear center	en
dc.subject.other	Simplifying assumptions	en
dc.subject.other	Standard solutions	en
dc.subject.other	Torsional constant	en
dc.subject.other	Torsional rigidity	en
dc.subject.other	Total potential energy	en
dc.subject.other	Transverse loading	en
dc.subject.other	Warping effects	en
dc.subject.other	Beams and girders	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Buckling	en
dc.subject.other	Potential energy	en
dc.subject.other	Stability criteria	en
dc.subject.other	Thin walled structures	en
dc.subject.other	Boundary element method	en
dc.title	Lateral buckling analysis of beams of arbitrary cross section by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-009-0416-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-009-0416-1	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper, the lateral buckling analysis of beams of arbitrary cross section is presented taking into account moderate large displacements and employing nonlinear relationships between bending moments and curvatures. The beam 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, the stability criterion is formulated taking into account the warping effects, the prebuckling displacements and the Wagner's coefficients due to the asymmetric character of the cross section. The stability criterion is based on the positive definiteness of the second variation of the total potential energy and is established using the Analog Equation Method (AEM), a BEM based 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. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The effects of both the load height and prebuckling deflections as well as the discrepancy of the Eurocode 3 standard solutions are discussed. © 2009 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-009-0416-1	en
dc.identifier.isi	ISI:000270428100002	en
dc.identifier.volume	45	en
dc.identifier.issue	1	en
dc.identifier.spage	11	en
dc.identifier.epage	21	en