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Article: Free vibration of thick, layered rectangular plates with point supports by finite layer method

TitleFree vibration of thick, layered rectangular plates with point supports by finite layer method
Authors
Issue Date2000
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2000, v. 37 n. 10, p. 1483-1499 How to Cite?
AbstractIn this paper, the free vibration of thick, isotropic and laminated composite rectangular plates with point supports is analyzed by the finite layer method. A new set of two-dimensional basic functions, which satisfies the kinematic boundary conditions at the edges of the plate and the zero-displacement conditions at point supports, is developed to describe the variation of three-dimensional displacements in the plane of a thin finite layer. One-dimensional linear or quadratic shape functions are adopted to describe the variation of the displacements through the thickness layer. The governing eigenvalue equation of the plate is derived via the conventional displacement method. Numerical results for the three-dimensional vibration of rectangular plates with point supports are presented herein for the first time. The eigenfrequencies of simply-supported rectangular plates with a central point-support are studied in detail by considering the variations of aspect ratio, side-to-thickness ratio, properties of materials, number of laminates and stacking sequences. Comparison with known thin-plate and Mindlin-plate solutions is carried out to verify the applicability and accuracy of the proposed method. © 1999 Elsevier Science Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/71478
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorKong, Jen_HK
dc.date.accessioned2010-09-06T06:32:21Z-
dc.date.available2010-09-06T06:32:21Z-
dc.date.issued2000en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2000, v. 37 n. 10, p. 1483-1499en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71478-
dc.description.abstractIn this paper, the free vibration of thick, isotropic and laminated composite rectangular plates with point supports is analyzed by the finite layer method. A new set of two-dimensional basic functions, which satisfies the kinematic boundary conditions at the edges of the plate and the zero-displacement conditions at point supports, is developed to describe the variation of three-dimensional displacements in the plane of a thin finite layer. One-dimensional linear or quadratic shape functions are adopted to describe the variation of the displacements through the thickness layer. The governing eigenvalue equation of the plate is derived via the conventional displacement method. Numerical results for the three-dimensional vibration of rectangular plates with point supports are presented herein for the first time. The eigenfrequencies of simply-supported rectangular plates with a central point-support are studied in detail by considering the variations of aspect ratio, side-to-thickness ratio, properties of materials, number of laminates and stacking sequences. Comparison with known thin-plate and Mindlin-plate solutions is carried out to verify the applicability and accuracy of the proposed method. © 1999 Elsevier Science Ltd.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_HK
dc.relation.ispartofInternational Journal of Solids and Structuresen_HK
dc.titleFree vibration of thick, layered rectangular plates with point supports by finite layer methoden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=37&spage=1483 &epage= 1499&date=1999&atitle=Free+vibration+of+thick,+layered+rectangular+plates+with+point+supports+by+finite+layer+methoden_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0001206149en_HK
dc.identifier.hkuros49228en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0001206149&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume37en_HK
dc.identifier.issue10en_HK
dc.identifier.spage1483en_HK
dc.identifier.epage1499en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridKong, J=7202290905en_HK

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