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Article: Three-dimensional vibration analysis of rectangular plates with mixed boundary conditions

TitleThree-dimensional vibration analysis of rectangular plates with mixed boundary conditions
Authors
KeywordsEigenfrequency
Elasticity Solution
Mixed Boundary Conditions
R-Function
Ritz Method
Thick Rectangular Plate
Three-Dimensional Vibration
Issue Date2005
PublisherASME International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal Of Applied Mechanics, Transactions Asme, 2005, v. 72 n. 2, p. 227-236 How to Cite?
AbstractThree-dimensional vibration solutions are presented for rectangular plates with mixed boundary conditions, based on the small strain linear elasticity theory. The analysis is focused on two kinds of rectangular plates, the boundaries of which are partially fixed while the others are free. One of those studied is a rectangular plate with partially fixed boundaries symmetrically arranged around four corners and the other one is a rectangular plate with partially fixed boundaries around one corner only. A global analysis approach is developed. The Ritz method is applied to derive the governing eigenvalue equation by minimizing the energy functional of the plate. The admissible functions for all displacement components are taken as a product of a characteristic boundary function and the triplicate Chebyshev polynomial series defined in the plate domain. The characteristic boundary functions are composed of a product of four components of which each corresponds to one edge of the plate. The R-function method is applied to construct the characteristic boundary function components for the edges with mixed boundary conditions. The convergence and comparison studies demonstrate the accuracy and correctness of the present method. The influence of the length of the fixed boundaries and the plate thickness on frequency parameters of square plates has been studied in detail. Some valuable results are given in the form of tables and figures, which can serve as the benchmark for the further research. Copyright © 2005 by ASME.
Persistent Identifierhttp://hdl.handle.net/10722/150291
ISSN
2015 Impact Factor: 1.394
2015 SCImago Journal Rankings: 0.630
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLo, SHen_US
dc.contributor.authorAu, FTKen_US
dc.date.accessioned2012-06-26T06:03:03Z-
dc.date.available2012-06-26T06:03:03Z-
dc.date.issued2005en_US
dc.identifier.citationJournal Of Applied Mechanics, Transactions Asme, 2005, v. 72 n. 2, p. 227-236en_US
dc.identifier.issn0021-8936en_US
dc.identifier.urihttp://hdl.handle.net/10722/150291-
dc.description.abstractThree-dimensional vibration solutions are presented for rectangular plates with mixed boundary conditions, based on the small strain linear elasticity theory. The analysis is focused on two kinds of rectangular plates, the boundaries of which are partially fixed while the others are free. One of those studied is a rectangular plate with partially fixed boundaries symmetrically arranged around four corners and the other one is a rectangular plate with partially fixed boundaries around one corner only. A global analysis approach is developed. The Ritz method is applied to derive the governing eigenvalue equation by minimizing the energy functional of the plate. The admissible functions for all displacement components are taken as a product of a characteristic boundary function and the triplicate Chebyshev polynomial series defined in the plate domain. The characteristic boundary functions are composed of a product of four components of which each corresponds to one edge of the plate. The R-function method is applied to construct the characteristic boundary function components for the edges with mixed boundary conditions. The convergence and comparison studies demonstrate the accuracy and correctness of the present method. The influence of the length of the fixed boundaries and the plate thickness on frequency parameters of square plates has been studied in detail. Some valuable results are given in the form of tables and figures, which can serve as the benchmark for the further research. Copyright © 2005 by ASME.en_US
dc.languageengen_US
dc.publisherASME International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_US
dc.relation.ispartofJournal of Applied Mechanics, Transactions ASMEen_US
dc.subjectEigenfrequencyen_US
dc.subjectElasticity Solutionen_US
dc.subjectMixed Boundary Conditionsen_US
dc.subjectR-Functionen_US
dc.subjectRitz Methoden_US
dc.subjectThick Rectangular Plateen_US
dc.subjectThree-Dimensional Vibrationen_US
dc.titleThree-dimensional vibration analysis of rectangular plates with mixed boundary conditionsen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1115/1.1827250en_US
dc.identifier.scopuseid_2-s2.0-17444385917en_US
dc.identifier.hkuros102266-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-17444385917&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume72en_US
dc.identifier.issue2en_US
dc.identifier.spage227en_US
dc.identifier.epage236en_US
dc.identifier.isiWOS:000228456300009-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US

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