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Article: Coupled vibratory characteristics of a rectangular container bottom plate

TitleCoupled vibratory characteristics of a rectangular container bottom plate
Authors
Issue Date2000
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jfs
Citation
Journal of Fluids and Structures, 2000, v. 14 n. 3, p. 339-357 How to Cite?
AbstractThe natural frequencies of an elastic thin plate placed into a rectangular hole and connected to the rigid bottom slab of a rectangular container filled with fluid having a free surface are studied. The fluid is assumed to be incompressible, inviscid and irrotational, and the effect of surface waves is neglected. An analytical-Ritz method is developed to study the vibratory characteristics of the plate in contact with the fluid. First of all, the exact expression of the motion of the fluid is obtained, in which the unknown coefficients are determined by using the method of separation of variables and the method of Fourier series expansion. Then, the Ritz approach is used to obtain the frequency equation of the system. The vibrating beam functions are adopted as the admissible functions for the wet-mode expansion of the plate, and the added virtual mass incremental (AVMI) matrices are obtained for plates with arbitrary boundary conditions. Finally, a convergence study is carried out and some numerical results are given. The accuracy of AVMI factor solutions is discussed by comparing with the more accurate analytical-Ritz solutions presented in this paper. Furthermore, It is seen that the present method is also suitable for the vibration analysis of rectangular plates in contact with infinite fluid by taking the finite, but larger size fluid domain as an approximation in the computation. © 2000 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/71166
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.accessioned2010-09-06T06:29:31Z-
dc.date.available2010-09-06T06:29:31Z-
dc.date.issued2000en_HK
dc.identifier.citationJournal of Fluids and Structures, 2000, v. 14 n. 3, p. 339-357en_HK
dc.identifier.issn0889-9746en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71166-
dc.description.abstractThe natural frequencies of an elastic thin plate placed into a rectangular hole and connected to the rigid bottom slab of a rectangular container filled with fluid having a free surface are studied. The fluid is assumed to be incompressible, inviscid and irrotational, and the effect of surface waves is neglected. An analytical-Ritz method is developed to study the vibratory characteristics of the plate in contact with the fluid. First of all, the exact expression of the motion of the fluid is obtained, in which the unknown coefficients are determined by using the method of separation of variables and the method of Fourier series expansion. Then, the Ritz approach is used to obtain the frequency equation of the system. The vibrating beam functions are adopted as the admissible functions for the wet-mode expansion of the plate, and the added virtual mass incremental (AVMI) matrices are obtained for plates with arbitrary boundary conditions. Finally, a convergence study is carried out and some numerical results are given. The accuracy of AVMI factor solutions is discussed by comparing with the more accurate analytical-Ritz solutions presented in this paper. Furthermore, It is seen that the present method is also suitable for the vibration analysis of rectangular plates in contact with infinite fluid by taking the finite, but larger size fluid domain as an approximation in the computation. © 2000 Academic Press.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.titleCoupled vibratory characteristics of a rectangular container bottom plateen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0889-9746&volume=14&spage=339 &epage= 357&date=2000&atitle=Coupled+vibratory+characteristics+of+a+rectangular+container+bottom+plateen_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.1999.0272en_HK
dc.identifier.scopuseid_2-s2.0-0001050752en_HK
dc.identifier.hkuros49222en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0001050752&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume14en_HK
dc.identifier.issue3en_HK
dc.identifier.spage339en_HK
dc.identifier.epage357en_HK
dc.identifier.isiWOS:000086497400004-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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