Flexural-torsional vibrations of beams by BEM

Sapountzakis, EJ; Tsiatas, GC

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:26:22Z
dc.date.available	2014-03-01T01:26:22Z
dc.date.issued	2007	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18037
dc.subject	Analog Equation method	en
dc.subject	Beam	en
dc.subject	Boundary integral equation	en
dc.subject	Flexural-torsional vibration	en
dc.subject	Forced vibrations	en
dc.subject	Free vibrations	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bending strength	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computer simulation	en
dc.subject.other	Integral equations	en
dc.subject.other	Torsional stress	en
dc.subject.other	Analog Equation method	en
dc.subject.other	Beams	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Flexural-torsional vibrations	en
dc.subject.other	Forced vibrations	en
dc.subject.other	Free vibrations	en
dc.subject.other	Boundary element method	en
dc.title	Flexural-torsional vibrations of beams by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-006-0039-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-006-0039-8	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper a boundary element method is developed for the general flexural-torsional vibrations of Euler-Bernoulli beams of arbitrarily shaped constant cross-section. The beam is subjected to arbitrarily transverse and/or torsional distributed or concentrated loading, while its edges are restrained by the most general linear boundary conditions. The resulting initial boundary value problem, described by three coupled partial differential equations, is solved using the analog equation method, a BEM based method. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements as well as the stress resultants are computed at any cross-section of the beam using the respective integral representations as mathematical formulae. The general character of the proposed method is verified from the fact that all basic equations are formulated with respect to an arbitrary coordinate system, which is not restricted to the principal one. Both free and forced vibrations are examined. Several beams are analysed to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. The range of applicability of the thin-tube theory is also investigated through examples with great practical interest. © Springer Verlag 2007.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-006-0039-8	en
dc.identifier.isi	ISI:000243968400006	en
dc.identifier.volume	39	en
dc.identifier.issue	4	en
dc.identifier.spage	409	en
dc.identifier.epage	417	en