Flexural-torsional buckling and vibration analysis of composite beams

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	1546-2218	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18036
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-35348934222&partnerID=40&md5=388848cb485ed70957002a205da80d75	en
dc.subject	Analog equation method	en
dc.subject	Boundary integral equation	en
dc.subject	Composite beam	en
dc.subject	Flexural-torsional buckling	en
dc.subject	Flexural-torsional vibration	en
dc.subject	Forced vibrations	en
dc.subject	Free vibrations	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary element method	en
dc.subject.other	Compressive strength	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Problem solving	en
dc.subject.other	Vibration analysis	en
dc.subject.other	Analog equation method	en
dc.subject.other	Boundary integral equation	en
dc.subject.other	Flexural-torsional buckling	en
dc.subject.other	Flexural-torsional vibration	en
dc.subject.other	Forced vibrations	en
dc.subject.other	Free vibrations	en
dc.subject.other	Composite beams and girders	en
dc.title	Flexural-torsional buckling and vibration analysis of composite beams	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper the general flexuraltorsional buckling and vibration problems of composite Euler-Bernoulli beams of arbitrarily shaped cross section are solved using a boundary element method. The general character of the proposed method is verified from the formulation of all basic equations with respect to an arbitrary coordinate system, which is not restricted to the principal one. The composite beam consists of materials in contact each of which can surround a finite number of inclusions. It is subjected to a compressive centrally applied load together with arbitrarily transverse and/or torsional distributed or concentrated loading, while its edges are restrained by the most general linear boundary conditions. The resulting problems are (i) the flexural-torsional buckling problem, which is described by three coupled ordinary differential equations and (ii) the flexural-torsional vibration problem, which is described by three coupled partial differential equations. Both problems are solved employing a boundary integral equation approach. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the method can treat composite beams of both thin and thick walled cross sections taking into account the warping along the thickness of the walls. The proposed method overcomes the shortcoming of possible thin tube theory (TTT) solution, which its utilization has been proven to be prohibitive even in thin walled homogeneous sections. Example problems of composite beams are analysed, subjected to compressive or vibratory loading, to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. Moreover, useful conclusions are drawn from the buckling and dynamic response of the beam. Copyright © 2007 Tech Science Press.	en
heal.publisher	TECH SCIENCE PRESS	en
heal.journalName	Computers, Materials and Continua	en
dc.identifier.isi	ISI:000250025100004	en
dc.identifier.volume	6	en
dc.identifier.issue	2	en
dc.identifier.spage	103	en
dc.identifier.epage	115	en