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Article: Three-dimensional vibration analysis of circular and annular plates via the Chebyshev - Ritz method

TitleThree-dimensional vibration analysis of circular and annular plates via the Chebyshev - Ritz method
Authors
KeywordsAnnular Plates
Chebyshev-Ritz Method
Circular Plates
Eigenfrequency
Elasticity Solution
Three-Dimensional Vibration
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2003, v. 40 n. 12, p. 3089-3105 How to Cite?
AbstractA three-dimensional free vibration analysis of circular and annular plates is presented via the Chebyshev-Ritz method. The solution procedure is based on the linear, small strain, three-dimensional elasticity theory. Selecting Chebyshev polynomials which can be expressed in terms of cosine functions as the admissible functions, a convenient governing eigenvalue equation can be derived through the Ritz method. According to the geometric properties of circular and annular plates, the vibration is divided into three distinct categories: axisymmetric vibration, torsional vibration and circumferential vibration. Each vibration category can be further subdivided into the antisymmetric and symmetric ones in the thickness direction. Convergence and comparison study demonstrated the high accuracy and efficiency of the present method. The present approach shows a distinct advantage over some other Ritz solutions in that stable numerical operation can be guaranteed even when a large number of admissible functions is employed. Therefore, not only lower-order but also higher-order eigenfrequencies can be obtained by using sufficient terms of the Chebyshev polynomials. Finally, some valuable results for annular plates with one or both edges clamped are given and discussed in detail. © 2003 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150235
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.accessioned2012-06-26T06:02:38Z-
dc.date.available2012-06-26T06:02:38Z-
dc.date.issued2003en_US
dc.identifier.citationInternational Journal Of Solids And Structures, 2003, v. 40 n. 12, p. 3089-3105en_US
dc.identifier.issn0020-7683en_US
dc.identifier.urihttp://hdl.handle.net/10722/150235-
dc.description.abstractA three-dimensional free vibration analysis of circular and annular plates is presented via the Chebyshev-Ritz method. The solution procedure is based on the linear, small strain, three-dimensional elasticity theory. Selecting Chebyshev polynomials which can be expressed in terms of cosine functions as the admissible functions, a convenient governing eigenvalue equation can be derived through the Ritz method. According to the geometric properties of circular and annular plates, the vibration is divided into three distinct categories: axisymmetric vibration, torsional vibration and circumferential vibration. Each vibration category can be further subdivided into the antisymmetric and symmetric ones in the thickness direction. Convergence and comparison study demonstrated the high accuracy and efficiency of the present method. The present approach shows a distinct advantage over some other Ritz solutions in that stable numerical operation can be guaranteed even when a large number of admissible functions is employed. Therefore, not only lower-order but also higher-order eigenfrequencies can be obtained by using sufficient terms of the Chebyshev polynomials. Finally, some valuable results for annular plates with one or both edges clamped are given and discussed in detail. © 2003 Elsevier Science 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.subjectAnnular Platesen_US
dc.subjectChebyshev-Ritz Methoden_US
dc.subjectCircular Platesen_US
dc.subjectEigenfrequencyen_US
dc.subjectElasticity Solutionen_US
dc.subjectThree-Dimensional Vibrationen_US
dc.titleThree-dimensional vibration analysis of circular and annular plates via the Chebyshev - Ritz methoden_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/S0020-7683(03)00114-8en_US
dc.identifier.scopuseid_2-s2.0-0037799732en_US
dc.identifier.hkuros81096-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037799732&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume40en_US
dc.identifier.issue12en_US
dc.identifier.spage3089en_US
dc.identifier.epage3105en_US
dc.identifier.isiWOS:000183216400010-
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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