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

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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 http://hdl.handle.net/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

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