Shear Deformation Effect in Flexural-torsional Vibrations of Composite Beams by Boundary Element Method (BEM)

Sapountzakis, EJ; Dourakopoulos, JA

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dourakopoulos, JA	en
dc.date.accessioned	2014-03-01T01:34:36Z
dc.date.available	2014-03-01T01:34:36Z
dc.date.issued	2010	en
dc.identifier.issn	1077-5463	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20763
dc.subject	Boundary element method	en
dc.subject	composite beam	en
dc.subject	dynamic analysis	en
dc.subject	flexural-torsional vibration	en
dc.subject	shear deformation	en
dc.subject	twist	en
dc.subject	warping	en
dc.subject	vibrations	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	THIN-WALLED-BEAMS	en
dc.subject.other	DYNAMIC STIFFNESS MATRIX	en
dc.subject.other	NONUNIFORM TORSION	en
dc.subject.other	TIMOSHENKO BEAMS	en
dc.subject.other	CROSS-SECTION	en
dc.subject.other	COUPLED VIBRATIONS	en
dc.subject.other	BARS	en
dc.subject.other	COEFFICIENT	en
dc.title	Shear Deformation Effect in Flexural-torsional Vibrations of Composite Beams by Boundary Element Method (BEM)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1177/1077546309341602	en
heal.identifier.secondary	http://dx.doi.org/10.1177/1077546309341602	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper a boundary element method (BEM) is developed for the general flexural-torsional vibration problem of Timoshenko beams of arbitrarily shaped composite cross-section taking into account the effects of warping stiffness, warping and rotary inertia and shear deformation. The composite beam consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli with same Poisson's ratio and are firmly bonded together. 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. All basic equations are formulated with respect to the principal shear axes coordinate system, which does not coincide with the principal bending one in a non-symmetric cross-section. To account for shear deformations, the concept of shear deformation coefficients is used. Six boundary value problems are formulated with respect to the transverse displacements, to the angle of twist, to the primary warping function and to two stress functions and solved using the Analog Equation Method, a BEM-based method. Both free and forced vibrations are examined. Several beams are analyzed to illustrate the method and demonstrate its efficiency and wherever possible its accuracy.	en
heal.publisher	SAGE PUBLICATIONS LTD	en
heal.journalName	JOURNAL OF VIBRATION AND CONTROL	en
dc.identifier.doi	10.1177/1077546309341602	en
dc.identifier.isi	ISI:000282686800002	en
dc.identifier.volume	16	en
dc.identifier.issue	12	en
dc.identifier.spage	1763	en
dc.identifier.epage	1789	en