Nonlinear dynamic analysis of Timoshenko beams by BEM. Part II: Applications and validation

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T01:31:20Z
dc.date.available	2014-03-01T01:31:20Z
dc.date.issued	2009	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19785
dc.subject	Boundary element method	en
dc.subject	Moderate large deflections	en
dc.subject	Nonlinear dynamic analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Timoshenko beam	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Moderate large deflections	en
dc.subject.other	Nonlinear dynamic analysis	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Timoshenko beam	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Damping	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Particle beams	en
dc.subject.other	Shear deformation	en
dc.subject.other	Vibration analysis	en
dc.subject.other	Boundary element method	en
dc.title	Nonlinear dynamic analysis of Timoshenko beams by BEM. Part II: Applications and validation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11071-009-9479-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11071-009-9479-y	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this two-part contribution, a boundary element method is developed for the nonlinear dynamic analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, undergoing moderate large displacements and small deformations under general boundary conditions, taking into account the effects of shear deformation and rotary inertia. In Part I the governing equations of the aforementioned problem have been derived, leading to the formulation of five boundary value problems with respect to the transverse displacements, to the axial displacement and to two stress functions. These problems are numerically solved using the Analog Equation Method, a BEM based method. In this Part II, numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. Thus, the results obtained from the proposed method are presented as compared with those from both analytical and numerical research efforts from the literature. More specifically, the shear deformation effect in nonlinear free vibration analysis, the influence of geometric nonlinearities in forced vibration analysis, the shear deformation effect in nonlinear forced vibration analysis, the nonlinear dynamic analysis of Timoshenko beams subjected to arbitrary axial and transverse in both directions loading, the free vibration analysis of Timoshenko beams with very flexible boundary conditions and the stability under axial loading (Mathieu problem) are presented and discussed through examples of practical interest. © 2009 Springer Science+Business Media B.V.	en
heal.publisher	SPRINGER	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1007/s11071-009-9479-y	en
dc.identifier.isi	ISI:000269885100022	en
dc.identifier.volume	58	en
dc.identifier.issue	1-2	en
dc.identifier.spage	307	en
dc.identifier.epage	318	en