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	2014-03-01T02:53:23Z
dc.date.available	2014-03-01T02:53:23Z
dc.date.issued	2011	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36278
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80054805444&partnerID=40&md5=d1454d12613b79c1bb2509f055bac07c	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	Analog equation methods	en
dc.subject.other	Analysis of beams	en
dc.subject.other	Axial displacements	en
dc.subject.other	Beams of arbitrary cross-sections	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	Large deflection	en
dc.subject.other	Nonlinear effect	en
dc.subject.other	Numerical example	en
dc.subject.other	Shortening effect	en
dc.subject.other	Torsional vibration	en
dc.subject.other	Torsional warping	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Wagner's coefficients	en
dc.subject.other	Warping constant	en
dc.subject.other	Civil engineering	en
dc.subject.other	Computational methods	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Earthquakes	en
dc.subject.other	Engineering geology	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Numerical methods	en
dc.subject.other	Structural dynamics	en
dc.subject.other	Vibration analysis	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	conferenceItem	en
heal.publicationDate	2011	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 rotations under general boundary conditions, taking into account the effects of rotary and torsional warping inertia. 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. 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.	en
heal.journalName	ECCOMAS Thematic Conference - COMPDYN 2011: 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Programme	en