Nonlinear response of shear deformable beams on tensionless nonlinear viscoelastic foundation under moving loads

Sapountzakis, EJ; Kampitsis, AE

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Kampitsis, AE	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	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21311
dc.subject	Boundary Condition	en
dc.subject	Boundary Element	en
dc.subject	Boundary Element Method	en
dc.subject	Boundary Value Problem	en
dc.subject	Cross Section	en
dc.subject	Differential Algebraic Equation	en
dc.subject	Nonlinear Response	en
dc.subject	Shear Deformation	en
dc.subject	time discretization	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loading	en
dc.subject.other	Beam displacement	en
dc.subject.other	Boundary element techniques	en
dc.subject.other	Boundary elements	en
dc.subject.other	Combined actions	en
dc.subject.other	Differential algebraic equations	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Geometrically nonlinear	en
dc.subject.other	Large deflection	en
dc.subject.other	Load frequency	en
dc.subject.other	Moving load	en
dc.subject.other	Moving loading	en
dc.subject.other	Non-linear response	en
dc.subject.other	Non-Linearity	en
dc.subject.other	Nonlinear visco-elastic	en
dc.subject.other	Shear deformable beams	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Stress functions	en
dc.subject.other	Time discretization	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Viscoelastic foundation	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear flow	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear response of shear deformable beams on tensionless nonlinear viscoelastic foundation under moving loads	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jsv.2011.06.009	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jsv.2011.06.009	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a boundary element method is developed for the geometrically nonlinear response of shear deformable beams of simply or multiply connected constant cross-section, traversed by moving loads, resting on tensionless nonlinear three-parameter viscoelastic foundation, undergoing moderate large deflections under general boundary conditions. The beam is subjected to the combined action of arbitrarily distributed or concentrated transverse moving loading as well as to axial loading. To account for shear deformations, the concept of shear deformation coefficients is used. Three boundary value problems are formulated with respect to the transverse displacement, to the axial displacement and to a stress functions and solved using the Analog Equation Method, a Boundary Element based method. Application of the boundary element technique yields a system of nonlinear Differential-Algebraic Equations, which is solved using an efficient time discretization scheme, from which the transverse and axial displacements are computed. The evaluation of the shear deformation coefficient is accomplished from the aforementioned stress function using only boundary integration. Analyses are performed to illustrate, wherever possible, the accuracy of the developed method, to investigate the effects of various parameters, such as the load velocity, load frequency, shear deformation, foundation nonlinearity, damping, on the beam displacements and stress resultants and to examine how the consideration of shear and axial compression affects the response of the system. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.doi	10.1016/j.jsv.2011.06.009	en
dc.identifier.isi	ISI:000293928400015	en
dc.identifier.volume	330	en
dc.identifier.issue	22	en
dc.identifier.spage	5410	en
dc.identifier.epage	5426	en