Free vibration analysis of angle-ply laminate composite beams by mixed finite element formulation using the Gateaux differential

dc.contributor.authorOzutok, Atilla
dc.contributor.authorMadenci, Emrah
dc.contributor.authorKadioglu, Fethi
dc.date.accessioned2024-02-23T14:31:54Z
dc.date.available2024-02-23T14:31:54Z
dc.date.issued2014
dc.departmentNEÜen_US
dc.description.abstractFree vibration analyses of angle-ply laminated composite beams were investigated by the Gateaux differential method in the present paper. With the use of the Gateaux differential method, the functionals were obtained and the natural frequencies of the composite beams were computed using the mixed finite element formulation on the basis of the Euler-Bernoulli beam theory and Timoshenko beam theory. By using these functionals in the mixed-type finite element method, two beam elements, CLBT4 and FSDT8, were derived for the Euler-Bernoulli and Timoshenko beam theories, respectively. The CLBT4 element has 4 degrees of freedom (DOFs) containing the vertical displacement and bending moment as the unknowns at the nodes, whereas the FSDT8 element has 8 DOFs containing the vertical displacement, bending moment, shear force and rotation as unknowns. A computer program was developed to execute the analyses for the present study. The numerical results of free vibration analyses obtained for different boundary conditions were presented and compared with the results available in the literature, which indicates the reliability of the present approach.en_US
dc.identifier.doi10.1515/secm-2013-0043
dc.identifier.endpage266en_US
dc.identifier.issn0792-1233
dc.identifier.issn2191-0359
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84898628594en_US
dc.identifier.startpage257en_US
dc.identifier.urihttps://doi.org/10.1515/secm-2013-0043
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15400
dc.identifier.volume21en_US
dc.identifier.wosWOS:000332226400013en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofScience And Engineering Of Composite Materialsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectComposite Beamsen_US
dc.subjectFinite Elementen_US
dc.subjectFree Vibrationen_US
dc.subjectGateaux Differential Methoden_US
dc.titleFree vibration analysis of angle-ply laminate composite beams by mixed finite element formulation using the Gateaux differentialen_US
dc.typeArticleen_US

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