Flexural-torsional vibrations of beams by the BEM

Sapountzakis, EJ; Tsiatas, GC

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T02:50:05Z
dc.date.available	2014-03-01T02:50:05Z
dc.date.issued	2005	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34891
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80053422109&partnerID=40&md5=44d8a03045fa0959824cae825cd0f4c6	en
dc.subject	Analog equation method	en
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary integral equation	en
dc.subject	Flexural-torsional vibration	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Bar	en
dc.subject.other	Beam	en
dc.subject.other	Boundary integrals	en
dc.subject.other	Flexural-torsional vibrations	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Elastic waves	en
dc.subject.other	Environmental engineering	en
dc.subject.other	Machine vibrations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Boundary element method	en
dc.title	Flexural-torsional vibrations of beams by the BEM	en
heal.type	conferenceItem	en
heal.publicationDate	2005	en
heal.abstract	In this paper a boundary element method is developed for the general flexuraltorsional vibrations of Euler-Bernoulli beams of arbitrarily shaped 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 employing a boundary integral equation approach. 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. © 2005 Civil-Comp Press.	en
heal.journalName	Proceedings of the 10th International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp 2005	en