Nonlinear dynamic analysis of Timoshenko beam-columns partially supported on tensionless Winkler foundation

Sapountzakis, EJ; Kampitsis, AE

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Kampitsis, AE	en
dc.date.accessioned	2014-03-01T01:33:56Z
dc.date.available	2014-03-01T01:33:56Z
dc.date.issued	2010	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20622
dc.subject	Boundary element method	en
dc.subject	Large deflections	en
dc.subject	Nonlinear dynamic analysis	en
dc.subject	Shear deformation coefficients	en
dc.subject	Tensionless Winkler foundation	en
dc.subject	Timoshenko beam	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Large deflection	en
dc.subject.other	Non-linear dynamic analysis	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Winkler foundations	en
dc.subject.other	Axial loads	en
dc.subject.other	Beams and girders	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Equations of motion	en
dc.subject.other	Foundations	en
dc.subject.other	Loading	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Particle beams	en
dc.subject.other	Shear deformation	en
dc.subject.other	Boundary element method	en
dc.title	Nonlinear dynamic analysis of Timoshenko beam-columns partially supported on tensionless Winkler foundation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2010.06.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2010.06.010	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, a boundary element method is developed for the nonlinear dynamic analysis of beam-columns of arbitrary doubly symmetric simply or multiply connected constant cross section, partially supported on tensionless Winkler foundation, undergoing moderate large deflections under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. The beam-column is subjected to the combined action of arbitrarily distributed or concentrated transverse loading and bending moments in both directions as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, to the axial displacement and to two stress functions and solved using the analog equation method, a BEM based method. Application of the boundary element technique yields a nonlinear coupled system of equations of motion. The solution of this system is accomplished iteratively by employing the average acceleration method in combination with the modified Newton Raphson method. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. The proposed model takes into account the coupling effects of bending and shear deformations along the member as well as the shear forces along the span induced by the applied axial loading. Numerical examples are worked out to illustrate the efficiency, wherever possible the accuracy and the range of applications of the developed method. (C) 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2010.06.010	en
dc.identifier.isi	ISI:000288776600003	en
dc.identifier.volume	88	en
dc.identifier.issue	21-22	en
dc.identifier.spage	1206	en
dc.identifier.epage	1219	en