Flexural - Torsional nonlinear analysis of timoshenko beam-column 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	2014-03-01T01:33:29Z
dc.date.available	2014-03-01T01:33:29Z
dc.date.issued	2010	en
dc.identifier.issn	1546-2218	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20448
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-78651100897&partnerID=40&md5=2cb852a6ece5f9ca28580b8f61ce76b5	en
dc.subject	Boundary element method	en
dc.subject	Flexural-torsional analysis	en
dc.subject	Nonlinear analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Timoshenko beam-column	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Arbitrary cross section	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loading	en
dc.subject.other	Beam-columns	en
dc.subject.other	Boundary element techniques	en
dc.subject.other	Combined actions	en
dc.subject.other	Cross section	en
dc.subject.other	Flexural-torsional	en
dc.subject.other	Flexural-torsional analysis	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Iterative process	en
dc.subject.other	Large deflection	en
dc.subject.other	Numerical example	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear deformation effects	en
dc.subject.other	Stress functions	en
dc.subject.other	System of nonlinear equations	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Transverse loading	en
dc.subject.other	Twisting moment	en
dc.subject.other	Warping function	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Particle beams	en
dc.subject.other	Shear deformation	en
dc.subject.other	Boundary element method	en
dc.title	Flexural - Torsional nonlinear analysis of timoshenko beam-column 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 nonlinear flexural - torsional analysis of Timoshenko beam-columns of arbitrary simply or multiply connected constant cross section, undergoing moderate large deflections under general boundary conditions. The beam-column is subjected to the combined action of an arbitrarily distributed or concentrated axial and transverse loading as well as to bending and twisting moments. To account for shear deformations, the concept of shear deformation coefficients is used. Seven boundary value problems are formulated with respect to the transverse displacements, to the axial displacement, to the angle of twist (which is assumed to be small), to the primary warping function and to two stress functions and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique yields a system of nonlinear equations from which the transverse and axial displacements as well as the angle of twist are computed by an iterative process. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. Numerical examples with great practical interest are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The influence of both the shear deformation effect and the variableness of the axial loading are remarkable. Copyright © 2010 Tech Science Press.	en
heal.publisher	TECH SCIENCE PRESS	en
heal.journalName	Computers, Materials and Continua	en
dc.identifier.isi	ISI:000285862700002	en
dc.identifier.volume	18	en
dc.identifier.issue	2	en
dc.identifier.spage	121	en
dc.identifier.epage	153	en