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Article: Three-dimensional free vibration of thick circular plates on Pasternak foundation

TitleThree-dimensional free vibration of thick circular plates on Pasternak foundation
Authors
Issue Date2006
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2006, v. 292 n. 3-5, p. 726-741 How to Cite?
AbstractThis paper describes a study of the three-dimensional vibration characteristics of thick circular plates resting on elastic foundation. The analysis is based on the three-dimensional small-strain, linear and exact elasticity theory. The foundation is described by the Pasternak model. The Ritz method is used to derive the frequency equation of the plate-foundation system by augmenting the strain energy of the plate with the elastic potential energy of the foundation. A set of Chebyshev polynomials multiplied by a boundary function is adopted as the admissible functions of the displacement components in each direction. For plates with free edges, the effect of foundation medium beyond the edge of the plate has been considered by introducing the generalized shearing force concept in the analysis. The convergence and comparison studies demonstrate the correctness and accuracy of the present method. It is shown that the present method has rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behavior of thick circular plates resting on elastic foundation have been carried out with respect to various thickness-radius ratios, foundation stiffness parameters and boundary conditions. Results known for the first time have been reported and discussed in detail. Some significant conclusions have been drawn. © 2005 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71363
ISSN
2023 Impact Factor: 4.3
2023 SCImago Journal Rankings: 1.225
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorAu, FTKen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:31:19Z-
dc.date.available2010-09-06T06:31:19Z-
dc.date.issued2006en_HK
dc.identifier.citationJournal Of Sound And Vibration, 2006, v. 292 n. 3-5, p. 726-741en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71363-
dc.description.abstractThis paper describes a study of the three-dimensional vibration characteristics of thick circular plates resting on elastic foundation. The analysis is based on the three-dimensional small-strain, linear and exact elasticity theory. The foundation is described by the Pasternak model. The Ritz method is used to derive the frequency equation of the plate-foundation system by augmenting the strain energy of the plate with the elastic potential energy of the foundation. A set of Chebyshev polynomials multiplied by a boundary function is adopted as the admissible functions of the displacement components in each direction. For plates with free edges, the effect of foundation medium beyond the edge of the plate has been considered by introducing the generalized shearing force concept in the analysis. The convergence and comparison studies demonstrate the correctness and accuracy of the present method. It is shown that the present method has rapid convergent rate, stable numerical operation and very high accuracy. Parametric investigations on the dynamic behavior of thick circular plates resting on elastic foundation have been carried out with respect to various thickness-radius ratios, foundation stiffness parameters and boundary conditions. Results known for the first time have been reported and discussed in detail. Some significant conclusions have been drawn. © 2005 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.titleThree-dimensional free vibration of thick circular plates on Pasternak foundationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=292&spage=726&epage=741&date=2006&atitle=Three-dimensional+free+vibration+of+thick+circular+plates+on+Pasternak+foundationen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jsv.2005.08.028en_HK
dc.identifier.scopuseid_2-s2.0-33644600149en_HK
dc.identifier.hkuros118563en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33644600149&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume292en_HK
dc.identifier.issue3-5en_HK
dc.identifier.spage726en_HK
dc.identifier.epage741en_HK
dc.identifier.isiWOS:000236238700020-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.issnl0022-460X-

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