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Article: Hydroelastic vibration of a circular container bottom plate using the Galerkin method

TitleHydroelastic vibration of a circular container bottom plate using the Galerkin method
Authors
Issue Date2002
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jfs
Citation
Journal Of Fluids And Structures, 2002, v. 16 n. 4, p. 561-580 How to Cite?
AbstractThe free vibration of a flexible thin plate placed into a circular hole and elastically connected to the rigid bottom slab of a circular cylindrical container filled with fluid having a free surface is studied. The liquid is assumed to be incompressible, inviscid and irrotational. The effect of the free surface wave is also taken into account in the analysis. First of all, the exact expression of velocity potential of the liquid movement is derived by a combination of the superposition method and the method of separation of variables. With the help of the Fourier-Bessel series expansion, part of the unknown coefficients in the solution is determined by the consistency condition between the liquid movement and the plate vibration, in the form of integrals associated with the dynamic deflection of the plate. Then, the Galerkin method is applied to derive the eigenfrequency equation of the fluid-plate interaction. Finally, the effects of various parameters and the free surface wave on eigenfrequencies of the fluid-plate system are discussed. As a consequence, the accuracy of the nondimensional added virtual mass incremental (NAVMI) factor solution has also been evaluated by comparing with the more accurate Galerkin solution. It is shown that the proposed method is also applicable to the vibration analysis of circular plates in contact with an infinite liquid by only taking a finite but larger size of liquid to replace the infinite liquid in the computation. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/70547
ISSN
2015 Impact Factor: 1.709
2015 SCImago Journal Rankings: 1.282
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:23:57Z-
dc.date.available2010-09-06T06:23:57Z-
dc.date.issued2002en_HK
dc.identifier.citationJournal Of Fluids And Structures, 2002, v. 16 n. 4, p. 561-580en_HK
dc.identifier.issn0889-9746en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70547-
dc.description.abstractThe free vibration of a flexible thin plate placed into a circular hole and elastically connected to the rigid bottom slab of a circular cylindrical container filled with fluid having a free surface is studied. The liquid is assumed to be incompressible, inviscid and irrotational. The effect of the free surface wave is also taken into account in the analysis. First of all, the exact expression of velocity potential of the liquid movement is derived by a combination of the superposition method and the method of separation of variables. With the help of the Fourier-Bessel series expansion, part of the unknown coefficients in the solution is determined by the consistency condition between the liquid movement and the plate vibration, in the form of integrals associated with the dynamic deflection of the plate. Then, the Galerkin method is applied to derive the eigenfrequency equation of the fluid-plate interaction. Finally, the effects of various parameters and the free surface wave on eigenfrequencies of the fluid-plate system are discussed. As a consequence, the accuracy of the nondimensional added virtual mass incremental (NAVMI) factor solution has also been evaluated by comparing with the more accurate Galerkin solution. It is shown that the proposed method is also applicable to the vibration analysis of circular plates in contact with an infinite liquid by only taking a finite but larger size of liquid to replace the infinite liquid in the computation. © 2002 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jfsen_HK
dc.relation.ispartofJournal of Fluids and Structuresen_HK
dc.titleHydroelastic vibration of a circular container bottom plate using the Galerkin methoden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0889-9746&volume=16&issue=4&spage=561&epage=580&date=2002&atitle=Hydroelastic+vibration+of+a+circular+container+bottom+plate+using+the+Galerkin+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.doi10.1006/jfls.2001.0430en_HK
dc.identifier.scopuseid_2-s2.0-0036018435en_HK
dc.identifier.hkuros67881en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036018435&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume16en_HK
dc.identifier.issue4en_HK
dc.identifier.spage561en_HK
dc.identifier.epage580en_HK
dc.identifier.isiWOS:000177174300008-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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