Torsional vibrations of composite bars of variable cross-section by BEM

Sapountzakis, EJ

dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:23:16Z
dc.date.available	2014-03-01T01:23:16Z
dc.date.issued	2005	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16876
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Dynamic analysis	en
dc.subject	Nonuniform torsion	en
dc.subject	Twist	en
dc.subject	Variable composite bar	en
dc.subject	Vibrations	en
dc.subject	Warping	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bars (metal)	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Functions	en
dc.subject.other	Mathematical models	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Composite bars	en
dc.subject.other	Thin-walled beams	en
dc.subject.other	Torsional vibrations	en
dc.subject.other	Warping functions	en
dc.subject.other	Torsion testing	en
dc.subject.other	boundary element method	en
dc.subject.other	torsion	en
dc.subject.other	vibration	en
dc.title	Torsional vibrations of composite bars of variable cross-section by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2004.07.021	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2004.07.021	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper a boundary element method is developed for the nonuniform torsional vibration problem of doubly symmetric composite bars of arbitrary variable cross-section. The composite bar consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli and are firmly bonded together. The beam is subjected to an arbitrarily distributed dynamic twisting moment, while its edges are restrained by the most general linear torsional boundary conditions. A distributed mass model system is employed which leads to the formulation of three boundary value problems with respect to the variable along the beam angle of twist and to the primary and secondary warping functions. These problems are solved employing a pure BEM approach that is only boundary discretization is used. Both free and forced torsional vibrations are considered and numerical examples are presented to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. The discrepancy in the analysis of a thin-walled cross-section composite beam employing the BEM after calculating the torsion and warping constants adopting the thin tube theory demonstrates the importance of the proposed procedure even in thin-walled beams, since it approximates better the torsion and warping constants and takes also into account the warping of the walls of the cross-section. (c) 2004 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2004.07.021	en
dc.identifier.isi	ISI:000228114700011	en
dc.identifier.volume	194	en
dc.identifier.issue	18-20	en
dc.identifier.spage	2127	en
dc.identifier.epage	2145	en