File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method

TitleThree-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method
Authors
KeywordsChebyshev polynomial
Natural frequencies
Ritz method
Thick rectangular plate
Three-dimensional vibration
Issue Date2002
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2002, v. 39 n. 26, p. 6339-6353 How to Cite?
AbstractThis paper describes a method for free vibration analysis of rectangular plates with any thicknesses, which range from thin, moderately thick to very thick plates. It utilises admissible functions comprising the Chebyshev polynomials multiplied by a boundary function. The analysis is based on a linear, small-strain, three-dimensional elasticity theory. The proposed technique yields very accurate natural frequencies and mode shapes of rectangular plates with arbitrary boundary conditions. A very simple and general programme has been compiled for the purpose. For a plate with geometric symmetry, the vibration modes can be classiffied into symmetric and antisymmetric ones in that direction. In such a case, the computational cost can be greatly reduced while maintaining the same level of accuracy. Convergence studies and comparison have been carried out taking square plates with four simply-supported edges as examples. It is shown that the present method enables rapid convergence, stable numerical operation and very high computational accuracy. Parametric investigations on the vibration behaviour of rectangular plates with four clamped edges have also been performed in detail, with respect to different thickness-side ratios, aspect ratios and Poisson's ratios. These results may serve as benchmark solutions for validating approximate two-dimensional theories and new computational techniques in future. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71454
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorAu, FTKen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:32:08Z-
dc.date.available2010-09-06T06:32:08Z-
dc.date.issued2002en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2002, v. 39 n. 26, p. 6339-6353en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71454-
dc.description.abstractThis paper describes a method for free vibration analysis of rectangular plates with any thicknesses, which range from thin, moderately thick to very thick plates. It utilises admissible functions comprising the Chebyshev polynomials multiplied by a boundary function. The analysis is based on a linear, small-strain, three-dimensional elasticity theory. The proposed technique yields very accurate natural frequencies and mode shapes of rectangular plates with arbitrary boundary conditions. A very simple and general programme has been compiled for the purpose. For a plate with geometric symmetry, the vibration modes can be classiffied into symmetric and antisymmetric ones in that direction. In such a case, the computational cost can be greatly reduced while maintaining the same level of accuracy. Convergence studies and comparison have been carried out taking square plates with four simply-supported edges as examples. It is shown that the present method enables rapid convergence, stable numerical operation and very high computational accuracy. Parametric investigations on the vibration behaviour of rectangular plates with four clamped edges have also been performed in detail, with respect to different thickness-side ratios, aspect ratios and Poisson's ratios. These results may serve as benchmark solutions for validating approximate two-dimensional theories and new computational techniques in future. © 2002 Elsevier Science Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_HK
dc.relation.ispartofInternational Journal of Solids and Structuresen_HK
dc.subjectChebyshev polynomialen_HK
dc.subjectNatural frequenciesen_HK
dc.subjectRitz methoden_HK
dc.subjectThick rectangular plateen_HK
dc.subjectThree-dimensional vibrationen_HK
dc.titleThree-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz methoden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=39&issue=26&spage=6339&epage=6353&date=2002&atitle=Three-dimensional+vibration+analysis+of+thick+rectangular+plates+using+Chebyshev+polynomial+and+Ritz+Methoden_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0020-7683(02)00460-2en_HK
dc.identifier.scopuseid_2-s2.0-0036899325en_HK
dc.identifier.hkuros76155en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036899325&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue26en_HK
dc.identifier.spage6339en_HK
dc.identifier.epage6353en_HK
dc.identifier.isiWOS:000179626400003-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats