Vibration analysis of 3-D composite beam elements including warping and shear deformation effects

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:27:33Z
dc.date.available	2014-03-01T01:27:33Z
dc.date.issued	2007	en
dc.identifier.issn	0022-460X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18503
dc.subject	Boundary Condition	en
dc.subject	Boundary Element Method	en
dc.subject	Boundary Value Problem	en
dc.subject	Cross Section	en
dc.subject	Distribution Dynamics	en
dc.subject	Dynamic Analysis	en
dc.subject	Equation of Motion	en
dc.subject	Shear Deformation	en
dc.subject	Strain Energy	en
dc.subject	Vibration Analysis	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Vibration analysis	en
dc.subject.other	Arbitrarily shaped composites	en
dc.subject.other	Damping resistance	en
dc.subject.other	Stress functions	en
dc.subject.other	Composite beams and girders	en
dc.title	Vibration analysis of 3-D composite beam elements including warping and shear deformation effects	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jsv.2007.06.021	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jsv.2007.06.021	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper, the dynamic analysis of 3-D composite beam elements restrained at their edges by the most general boundary conditions and subjected in arbitrarily distributed dynamic loading is presented. For the solution of the problem at hand, a boundary element method is developed for the construction of the 14 x 14 stiffness matrix and the nodal load vector of a member of an arbitrarily shaped composite cross section, taking into account both torsional warping and shear deformation effects, which together with the corresponding mass and damping matrices lead to the formulation of the equation of motion. To account for shear deformations, the concept of shear deformation coefficients is used, defining these factors using a strain energy approach. Eight boundary value problems with respect to the variable along the bar angle of twist, to the primary warping function, to a fictitious function, to the beam transverse and longitudinal displacements and to two stress functions are formulated and solved employing a pure BEM approach. Both free and forced vibrations are considered, taking also into account effects of transverse, longitudinal, rotatory, torsional and warping inertia and damping resistance. Numerical examples are presented to illustrate the method and demonstrate its efficiency and accuracy. (c) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of Sound and Vibration	en
dc.identifier.doi	10.1016/j.jsv.2007.06.021	en
dc.identifier.isi	ISI:000249373400024	en
dc.identifier.volume	306	en
dc.identifier.issue	3-5	en
dc.identifier.spage	818	en
dc.identifier.epage	834	en