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Article: Vibrations of tapered Timoshenko beams in terms of static Timoshenko beam functions

TitleVibrations of tapered Timoshenko beams in terms of static Timoshenko beam functions
Authors
Issue Date2001
PublisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal Of Applied Mechanics, Transactions Asme, 2001, v. 68 n. 4, p. 596-602 How to Cite?
AbstractIn this paper, the free vibrations of a wide range of tapered Timoshenko beams are investigated. The cross section of the beam varies continuously and the variation is described by a power function of the coordinate along the neutral axis of the beam. The static Timoshenko beam functions, which are the complete solutions of a tapered Timoshenko beam under a Taylor series of static load, are developed, respectively, as the basis functions of the flexural displacement and the angle of rotation due to bending. The Rayleigh-Ritz method is applied to derive the eigenfrequency equation of the tapered Timoshenko beam. Unlike conventional basis functions which are independent of the cross-sectional variation of the beam, these static Timoshenko beam functions vary in accordance with the cross-sectional variation of the beam so that higher accuracy and more rapid convergence have been obtained. Some numerical results are presented for both truncated and sharp-ended Timoshenko beams. On the basis of convergence study and comparison with available results in the literature it is shown that the first few eigenfrequencies can be given with quite good accuracy by using a small number of terms of the static Timoshenko beam functions. Finally, some valuable results are presented systematically.
Persistent Identifierhttp://hdl.handle.net/10722/71514
ISSN
2015 Impact Factor: 1.394
2015 SCImago Journal Rankings: 0.630
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:32:41Z-
dc.date.available2010-09-06T06:32:41Z-
dc.date.issued2001en_HK
dc.identifier.citationJournal Of Applied Mechanics, Transactions Asme, 2001, v. 68 n. 4, p. 596-602en_HK
dc.identifier.issn0021-8936en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71514-
dc.description.abstractIn this paper, the free vibrations of a wide range of tapered Timoshenko beams are investigated. The cross section of the beam varies continuously and the variation is described by a power function of the coordinate along the neutral axis of the beam. The static Timoshenko beam functions, which are the complete solutions of a tapered Timoshenko beam under a Taylor series of static load, are developed, respectively, as the basis functions of the flexural displacement and the angle of rotation due to bending. The Rayleigh-Ritz method is applied to derive the eigenfrequency equation of the tapered Timoshenko beam. Unlike conventional basis functions which are independent of the cross-sectional variation of the beam, these static Timoshenko beam functions vary in accordance with the cross-sectional variation of the beam so that higher accuracy and more rapid convergence have been obtained. Some numerical results are presented for both truncated and sharp-ended Timoshenko beams. On the basis of convergence study and comparison with available results in the literature it is shown that the first few eigenfrequencies can be given with quite good accuracy by using a small number of terms of the static Timoshenko beam functions. Finally, some valuable results are presented systematically.en_HK
dc.languageengen_HK
dc.publisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_HK
dc.relation.ispartofJournal of Applied Mechanics, Transactions ASMEen_HK
dc.titleVibrations of tapered Timoshenko beams in terms of static Timoshenko beam functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0021-8936&volume=68&issue=4&spage=596&epage=602&date=2001&atitle=Vibrations+of+tapered+Timoshenko+beams+in+terms+of+static+Timoshenko+beam+functionsen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0000051906en_HK
dc.identifier.hkuros67888en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0000051906&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume68en_HK
dc.identifier.issue4en_HK
dc.identifier.spage596en_HK
dc.identifier.epage602en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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