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Article: Free vibration of thick, layered rectangular plates by a finite layer method

TitleFree vibration of thick, layered rectangular plates by a finite layer method
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. 21 n. 3, p. 277-284 How to Cite?
AbstractA three-dimensional linear, small deformation solution for the free vibration of thick, layered rectangular plates with various boundary conditions is developed using a finite layer method which is an extension of the well-known finite element method. In this method, the plate is divided into a number of layers, and the stiffness matrix of a layer element is obtained by assuming the displacement functions, u, ν and w to be of the form X(x)Y(y)Z(z), in which X(x) and Y(y) are suitable beam function series satisfying the appropriate boundary conditions of the plate, and Z(z) is a simple linear polynomial. A consistent mass matrix is also formed for each layer. The stiffness and mass matrices of all the layers forming a plate are then assembled to give an eigenvalue matrix which can be solved for the frequencies and the mode shapes on an intermediate size computer. The method is simple but versatile, and complex problems involving anisotropic materials or thick layered construction can all be handled easily. © 1972.
Persistent Identifierhttp://hdl.handle.net/10722/149796
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChakrabarti, Sen_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. 21 n. 3, p. 277-284en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149796-
dc.description.abstractA three-dimensional linear, small deformation solution for the free vibration of thick, layered rectangular plates with various boundary conditions is developed using a finite layer method which is an extension of the well-known finite element method. In this method, the plate is divided into a number of layers, and the stiffness matrix of a layer element is obtained by assuming the displacement functions, u, ν and w to be of the form X(x)Y(y)Z(z), in which X(x) and Y(y) are suitable beam function series satisfying the appropriate boundary conditions of the plate, and Z(z) is a simple linear polynomial. A consistent mass matrix is also formed for each layer. The stiffness and mass matrices of all the layers forming a plate are then assembled to give an eigenvalue matrix which can be solved for the frequencies and the mode shapes on an intermediate size computer. The method is simple but versatile, and complex problems involving anisotropic materials or thick layered construction can all be handled easily. © 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 vibration of thick, layered rectangular plates by a finite layer methoden_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-s2.0-0001175207en_US
dc.identifier.volume21en_US
dc.identifier.issue3en_US
dc.identifier.spage277en_US
dc.identifier.epage284en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChakrabarti, S=24568105500en_US

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