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Article: Three-dimensional vibration analysis of cantilevered and completely free isosceles triangular plates

TitleThree-dimensional vibration analysis of cantilevered and completely free isosceles triangular plates
Authors
KeywordsChybyshev polynomial
Eigenfrequencies
Isosceles triangular plate
Ritz method
Thick 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. 3, p. 673-687 How to Cite?
AbstractThe free vibration of cantileveredand completely free isosceles triangular plates based on exact three-dimensional elasticity theory is investigated. The actual plate domain is first mapped onto a basic cubic domain. The the Ritz method is applied to derived the eigenfrequency equation from the strain energy and the kinetic energy of the plate. A set of Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometry boundary conditions of the plate is developed as the admissible functions of each displacement component. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. The effects of thickness-to-width ratio and apex angle on eigenfrequencies of the plates are studied in detail. Sets of valuable results are presented, which may serve as the benchmark values for future numerical techniques in thick plate vibration analysis. Data for the completely free isosceles triangular plates are presented for the first time. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71719
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:34:33Z-
dc.date.available2010-09-06T06:34:33Z-
dc.date.issued2002en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2002, v. 39 n. 3, p. 673-687en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71719-
dc.description.abstractThe free vibration of cantileveredand completely free isosceles triangular plates based on exact three-dimensional elasticity theory is investigated. The actual plate domain is first mapped onto a basic cubic domain. The the Ritz method is applied to derived the eigenfrequency equation from the strain energy and the kinetic energy of the plate. A set of Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometry boundary conditions of the plate is developed as the admissible functions of each displacement component. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. The effects of thickness-to-width ratio and apex angle on eigenfrequencies of the plates are studied in detail. Sets of valuable results are presented, which may serve as the benchmark values for future numerical techniques in thick plate vibration analysis. Data for the completely free isosceles triangular plates are presented for the first time. © 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.subjectChybyshev polynomialen_HK
dc.subjectEigenfrequenciesen_HK
dc.subjectIsosceles triangular plateen_HK
dc.subjectRitz methoden_HK
dc.subjectThick plateen_HK
dc.subjectThree-dimensional vibrationen_HK
dc.titleThree-dimensional vibration analysis of cantilevered and completely free isosceles triangular platesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=39&spage=673&epage=687&date=2001&atitle=Three-dimensional+vibration+analysis+of+cantilevered+and+completely+free+isosceles+triangular+platesen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0020-7683(01)00196-2en_HK
dc.identifier.scopuseid_2-s2.0-0037084909en_HK
dc.identifier.hkuros67506en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037084909&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue3en_HK
dc.identifier.spage673en_HK
dc.identifier.epage687en_HK
dc.identifier.isiWOS:000174575700009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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