Nonlinear effects in elastic flexural-torsional vibrations of beams of arbitrary cross section

Sapountzakis, EJ; Dikaros, IC

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dikaros, IC	en
dc.date.accessioned	2014-03-01T01:59:47Z
dc.date.available	2014-03-01T01:59:47Z
dc.date.issued	2010	en
dc.identifier.issn	18744796	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29042
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-78651549694&partnerID=40&md5=d6272cd33b258f7a9048abb235b18630	en
dc.subject	Boundary element method	en
dc.subject	Dynamic analysis	en
dc.subject	Flexural-torsional analysis	en
dc.subject	Nonlinear analysis	en
dc.subject	Shortening effect	en
dc.subject	Wagner's coefficients	en
dc.subject.other	Algebraic equations	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Analysis of beams	en
dc.subject.other	Analysis techniques	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loading	en
dc.subject.other	Backward differentiation formulae	en
dc.subject.other	Beams of arbitrary cross-sections	en
dc.subject.other	Boundary element techniques	en
dc.subject.other	Combined actions	en
dc.subject.other	Cross section	en
dc.subject.other	Differential algebraic equations	en
dc.subject.other	Flexural-torsional	en
dc.subject.other	Flexural-torsional analysis	en
dc.subject.other	Flexural-torsional vibrations	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Large deflection	en
dc.subject.other	Linear multistep method	en
dc.subject.other	Nonlinear effect	en
dc.subject.other	Numerical example	en
dc.subject.other	Shortening effect	en
dc.subject.other	Torsional warping	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Transverse loading	en
dc.subject.other	Wagner's coefficients	en
dc.subject.other	Warping constant	en
dc.subject.other	Algebra	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Equations of motion	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Boundary element method	en
dc.title	Nonlinear effects in elastic flexural-torsional vibrations of beams of arbitrary cross section	en
heal.type	journalArticle	en
heal.publicationDate	2010	en
heal.abstract	In this paper, a boundary element method is developed for the nonlinear flexural-torsional dynamic analysis of beams of arbitrary, simply or multiply connected, constant cross section, undergoing moderate large deflections and twisting rotations under general boundary conditions, taking into account the effects of rotary and torsional warping inertia. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse loading in both directions as well as to twisting and/or axial loading. Four boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to the angle of twist and solved using the Analog Equation Method, a BEM based method. Application of the boundary element technique leads to a system of nonlinear coupled Differential-Algebraic Equations (DAE) of motion, which is solved iteratively using the Petzold-Gear Backward Differentiation Formula (BDF), a linear multistep method for differential equations coupled to algebraic equations (DAE). The geometric, inertia, torsion and warping constants are evaluated employing the Boundary Element Method. The proposed model takes into account, both the Wagner's coefficients and the shortening effect. Numerical examples are worked out to illustrate the efficiency, wherever possible the accuracy, the range of applications of the developed method as well as the influence of the nonlinear effects to the response of the beam. We also discussed here some recent patents relevant to nonlinear analysis techniques. © 2010 Bentham Science Publishers Ltd.	en
heal.journalName	Recent Patents on Computer Science	en
dc.identifier.volume	3	en
dc.identifier.issue	3	en
dc.identifier.spage	203	en
dc.identifier.epage	223	en