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Article: Effect of built-in edges on 3-D vibrational characteristics of thick circular plates

TitleEffect of built-in edges on 3-D vibrational characteristics of thick circular plates
Authors
KeywordsBuilt-In Edge
Eigenfrequency
Free Vibration
Thick Circular Plate
Three-Dimensional Analysis
Issue Date2006
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2006, v. 43 n. 7-8, p. 1960-1978 How to Cite?
AbstractThe vibrational characteristics of thick circular plates built into a rigid medium in the vicinity of the circumference are studied. The analysis procedure is based on the exact, small-strain, three-dimensional linear elasticity theory. In the analysis, the plate is considered as comprising an inner circular disc with free upper and lower surfaces connected to an outer annulus that is built into the rigid medium. The Chebyshev polynomials multiplied by suitable boundary characteristic functions are selected as the admissible functions of the displacement functions, and the three-dimensional displacement fields in each part can be expressed accordingly. Through the Ritz method, the eigenvalue equations can be established for the inner disc and the outer annulus, respectively. Utilizing the displacement continuity conditions at the interface between the two parts, the eigenvalue equation for the whole plate is derived. Convergence and comparison studies demonstrate the correctness and accuracy of the present method. The effect of structural parameters such as plate thickness, built-in length and the end condition on eigenfrequencies of circular plate is investigated in detail. It is shown that with the increase of plate thickness, the effect of the built-in annulus on eigenfrequencies significantly increases. Therefore, for a thick plate, the flexibility of the built-in part should be considered in the dynamic analysis. © 2005 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150344
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_US
dc.contributor.authorAu, FTKen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLo, SHen_US
dc.date.accessioned2012-06-26T06:03:35Z-
dc.date.available2012-06-26T06:03:35Z-
dc.date.issued2006en_US
dc.identifier.citationInternational Journal Of Solids And Structures, 2006, v. 43 n. 7-8, p. 1960-1978en_US
dc.identifier.issn0020-7683en_US
dc.identifier.urihttp://hdl.handle.net/10722/150344-
dc.description.abstractThe vibrational characteristics of thick circular plates built into a rigid medium in the vicinity of the circumference are studied. The analysis procedure is based on the exact, small-strain, three-dimensional linear elasticity theory. In the analysis, the plate is considered as comprising an inner circular disc with free upper and lower surfaces connected to an outer annulus that is built into the rigid medium. The Chebyshev polynomials multiplied by suitable boundary characteristic functions are selected as the admissible functions of the displacement functions, and the three-dimensional displacement fields in each part can be expressed accordingly. Through the Ritz method, the eigenvalue equations can be established for the inner disc and the outer annulus, respectively. Utilizing the displacement continuity conditions at the interface between the two parts, the eigenvalue equation for the whole plate is derived. Convergence and comparison studies demonstrate the correctness and accuracy of the present method. The effect of structural parameters such as plate thickness, built-in length and the end condition on eigenfrequencies of circular plate is investigated in detail. It is shown that with the increase of plate thickness, the effect of the built-in annulus on eigenfrequencies significantly increases. Therefore, for a thick plate, the flexibility of the built-in part should be considered in the dynamic analysis. © 2005 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_US
dc.relation.ispartofInternational Journal of Solids and Structuresen_US
dc.subjectBuilt-In Edgeen_US
dc.subjectEigenfrequencyen_US
dc.subjectFree Vibrationen_US
dc.subjectThick Circular Plateen_US
dc.subjectThree-Dimensional Analysisen_US
dc.titleEffect of built-in edges on 3-D vibrational characteristics of thick circular platesen_US
dc.typeArticleen_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.ijsolstr.2005.05.007en_US
dc.identifier.scopuseid_2-s2.0-32344433051en_US
dc.identifier.hkuros114533-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-32344433051&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume43en_US
dc.identifier.issue7-8en_US
dc.identifier.spage1960en_US
dc.identifier.epage1978en_US
dc.identifier.isiWOS:000236608200006-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US

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