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Article: Vibration of tapered Mindlin plates in terms of static Timoshenko beam functions

TitleVibration of tapered Mindlin plates in terms of static Timoshenko beam functions
Authors
Issue Date2003
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2003, v. 260 n. 4, p. 693-709 How to Cite?
AbstractIn this paper, the free vibrations of rectangular Mindlin plates with variable thickness in one or two directions are investigated. The thickness variation of the plate is continuous and can be represented by a power function of the rectangular co-ordinates. A wide range of tapered rectangular plates can be described by giving various index values to the power function. Two sets of new admissible functions are developed, respectively, to approximate the flexural displacement and the angle of rotation due to bending of the plate. The eigenfrequency equation is obtained by using the Rayleigh-Ritz method. The complete solutions of displacement and angle of rotation due to bending for a tapered Timoshenko beam (a strip taken from the tapered Mindlin plate in some direction) under a Taylor series of static load have been derived, which are used as the admissible functions of the rectangular Mindlin plates with taper thickness in one or two directions. Unlike conventional admissible functions which are independent of the thickness variation of the plate, the static Timoshenko beam functions presented in this paper are closely connected with the thickness variation of the plate so that higher accuracy and more rapid convergence can be expected. Some numerical results are furnished for both truncated Mindlin plates and sharp-ended Mindlin plates. On the basis of convergence study and comparison with available results in literature, it is shown that the first few eigenfrequencies can be obtained with quite satisfactory accuracy by using only a small number of terms of the static Timoshenko beam functions.
Persistent Identifierhttp://hdl.handle.net/10722/71853
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:35:45Z-
dc.date.available2010-09-06T06:35:45Z-
dc.date.issued2003en_HK
dc.identifier.citationJournal Of Sound And Vibration, 2003, v. 260 n. 4, p. 693-709en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71853-
dc.description.abstractIn this paper, the free vibrations of rectangular Mindlin plates with variable thickness in one or two directions are investigated. The thickness variation of the plate is continuous and can be represented by a power function of the rectangular co-ordinates. A wide range of tapered rectangular plates can be described by giving various index values to the power function. Two sets of new admissible functions are developed, respectively, to approximate the flexural displacement and the angle of rotation due to bending of the plate. The eigenfrequency equation is obtained by using the Rayleigh-Ritz method. The complete solutions of displacement and angle of rotation due to bending for a tapered Timoshenko beam (a strip taken from the tapered Mindlin plate in some direction) under a Taylor series of static load have been derived, which are used as the admissible functions of the rectangular Mindlin plates with taper thickness in one or two directions. Unlike conventional admissible functions which are independent of the thickness variation of the plate, the static Timoshenko beam functions presented in this paper are closely connected with the thickness variation of the plate so that higher accuracy and more rapid convergence can be expected. Some numerical results are furnished for both truncated Mindlin plates and sharp-ended Mindlin plates. On the basis of convergence study and comparison with available results in literature, it is shown that the first few eigenfrequencies can be obtained with quite satisfactory accuracy by using only a small number of terms of the static Timoshenko beam functions.en_HK
dc.languageengen_HK
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.titleVibration of tapered Mindlin plates in terms of static Timoshenko beam functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=260&issue=4&spage=693&epage=709&date=2003&atitle=Vibration+of+tapered+Mindlin+plates+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.doi10.1016/S0022-460X(02)01008-8en_HK
dc.identifier.scopuseid_2-s2.0-0037468198en_HK
dc.identifier.hkuros82736en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037468198&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume260en_HK
dc.identifier.issue4en_HK
dc.identifier.spage693en_HK
dc.identifier.epage709en_HK
dc.identifier.isiWOS:000181498100006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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