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Article: Free vibrations of thick, layered cylinders having finite length with various boundary conditions

TitleFree vibrations of thick, layered cylinders having finite length with various boundary conditions
Authors
Issue Date1972
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1972, v. 24 n. 2, p. 189-200 How to Cite?
AbstractOn the basis of the three-dimensional, linear, small deflection theory of elasticity, a finite layer method of solution is presented for free vibrations of thick laminated finite cylinders with various end conditions. In the analysis, the cylinder is divided into a number of layers while for each layer the material can be isotropic or orthotropic. A Rayleigh-Ritz type formulation is used, a displacement field being assumed in the form Σ Σ φ(θ) ψ(z) Ξ(x), in which φ(θ) is a trigonometric function of the circumferential angle, ψ(z) is a polynomial in the radial direction and the functions Ξ(x) are eigenfunctions which satisfy various boundary conditions. As a result, the stiffness and consistent mass matrices can be formed and they lead to an eigenvalue problem which is solved to yield mode shapes and frequencies. The method is applicable to various homogeneous cylindrical surface conditions. However, the example problems treated are for the cases where the cylinders are bounded by traction-free surfaces. The numerical solutions compare favorably with previous results available to the authors. © 1972.
Persistent Identifierhttp://hdl.handle.net/10722/149795
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorWu, CIen_US
dc.date.accessioned2012-06-26T05:59:49Z-
dc.date.available2012-06-26T05:59:49Z-
dc.date.issued1972en_US
dc.identifier.citationJournal Of Sound And Vibration, 1972, v. 24 n. 2, p. 189-200en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149795-
dc.description.abstractOn the basis of the three-dimensional, linear, small deflection theory of elasticity, a finite layer method of solution is presented for free vibrations of thick laminated finite cylinders with various end conditions. In the analysis, the cylinder is divided into a number of layers while for each layer the material can be isotropic or orthotropic. A Rayleigh-Ritz type formulation is used, a displacement field being assumed in the form Σ Σ φ(θ) ψ(z) Ξ(x), in which φ(θ) is a trigonometric function of the circumferential angle, ψ(z) is a polynomial in the radial direction and the functions Ξ(x) are eigenfunctions which satisfy various boundary conditions. As a result, the stiffness and consistent mass matrices can be formed and they lead to an eigenvalue problem which is solved to yield mode shapes and frequencies. The method is applicable to various homogeneous cylindrical surface conditions. However, the example problems treated are for the cases where the cylinders are bounded by traction-free surfaces. The numerical solutions compare favorably with previous results available to the authors. © 1972.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titleFree vibrations of thick, layered cylinders having finite length with various boundary conditionsen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0001175206en_US
dc.identifier.volume24en_US
dc.identifier.issue2en_US
dc.identifier.spage189en_US
dc.identifier.epage200en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridWu, CI=24582769700en_US

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