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Article: Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation

TitleThree-dimensional vibration analysis of rectangular thick plates on Pasternak foundation
Authors
KeywordsEigen-frequency
Elastic foundation
Rectangular plate
Ritz method
Three-dimensional analysis
Vibration
Issue Date2004
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2004, v. 59 n. 10, p. 1313-1334 How to Cite?
AbstractThe free-vibration characteristics of rectangular thick plates resting on elastic foundations have been studied, based on the three-dimensional, linear and small strain elasticity theory. The foundation is described by the Pasternak (two-parameter) model. The Ritz method is used to derive the eigenvalue equation of the rectangular plate by augmenting the strain energy of the plate with the potential energy of the elastic foundation. The Chebyshev polynomials multiplied by a boundary function are selected as the admissible functions of the displacement functions in each direction. The approach is suitable for rectangular plates with arbitrary boundary conditions. Convergence and comparison studies have been performed on square plates on elastic foundations with different boundary conditions. It is shown that the present method has a rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behaviour of clamped square thick plates on elastic foundations have been carried out in detail, with respect to different thickness-span ratios and foundation parameters. Some results found for the first time have been given and some important conclusions have been drawn. © 2004 John Wiley and Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/71361
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorAu, FTKen_HK
dc.date.accessioned2010-09-06T06:31:18Z-
dc.date.available2010-09-06T06:31:18Z-
dc.date.issued2004en_HK
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2004, v. 59 n. 10, p. 1313-1334en_HK
dc.identifier.issn0029-5981en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71361-
dc.description.abstractThe free-vibration characteristics of rectangular thick plates resting on elastic foundations have been studied, based on the three-dimensional, linear and small strain elasticity theory. The foundation is described by the Pasternak (two-parameter) model. The Ritz method is used to derive the eigenvalue equation of the rectangular plate by augmenting the strain energy of the plate with the potential energy of the elastic foundation. The Chebyshev polynomials multiplied by a boundary function are selected as the admissible functions of the displacement functions in each direction. The approach is suitable for rectangular plates with arbitrary boundary conditions. Convergence and comparison studies have been performed on square plates on elastic foundations with different boundary conditions. It is shown that the present method has a rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behaviour of clamped square thick plates on elastic foundations have been carried out in detail, with respect to different thickness-span ratios and foundation parameters. Some results found for the first time have been given and some important conclusions have been drawn. © 2004 John Wiley and Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_HK
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_HK
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectEigen-frequencyen_HK
dc.subjectElastic foundationen_HK
dc.subjectRectangular plateen_HK
dc.subjectRitz methoden_HK
dc.subjectThree-dimensional analysisen_HK
dc.subjectVibrationen_HK
dc.titleThree-dimensional vibration analysis of rectangular thick plates on Pasternak foundationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0029-5981&volume=59&spage=1313&epage=1334&date=2004&atitle=Three-dimensional+vibration+analysis+of+rectangular+thick+plates+on+Pasternak+foundationen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-1542539007en_HK
dc.identifier.hkuros92802en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-1542539007&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume59en_HK
dc.identifier.issue10en_HK
dc.identifier.spage1313en_HK
dc.identifier.epage1334en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK

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