Non-linear flexuraltorsional dynamic analysis of beams of arbitrary cross section by BEM

Sapountzakis, EJ; Dikaros, IC

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dikaros, IC	en
dc.date.accessioned	2014-03-01T01:36:29Z
dc.date.available	2014-03-01T01:36:29Z
dc.date.issued	2011	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21308
dc.subject	Boundary element method	en
dc.subject	Dynamic analysis	en
dc.subject	Flexuraltorsional Analysis	en
dc.subject	Non-linear analysis	en
dc.subject	Shortening Effect	en
dc.subject	Wagners coefficients	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algebraic equations	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Analysis of beams	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loading	en
dc.subject.other	Backward differentiation formulae	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	Flexuraltorsional Analysis	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Large deflection	en
dc.subject.other	Linear multistep method	en
dc.subject.other	Non-linear	en
dc.subject.other	Nonlinear effect	en
dc.subject.other	Numerical example	en
dc.subject.other	Shortening Effect	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Transverse loading	en
dc.subject.other	Wagners 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	Numerical methods	en
dc.subject.other	Boundary element method	en
dc.title	Non-linear flexuraltorsional dynamic analysis of beams of arbitrary cross section by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2011.02.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2011.02.012	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a boundary element method is developed for the non-linear flexural-torsional dynamic analysis of beams of arbitrary, simply or multiply connected, constant cross section, undergoing moderately large deflections and twisting rotations under general boundary conditions, taking into account the effects of rotary and 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 non-linear 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. 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 non-linear effects to the response of the beam. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2011.02.012	en
dc.identifier.isi	ISI:000291078800013	en
dc.identifier.volume	46	en
dc.identifier.issue	5	en
dc.identifier.spage	782	en
dc.identifier.epage	794	en