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Article: Vibrations of moderately thick rectangular plates in terms of a set of static Timoshenko beam functions

TitleVibrations of moderately thick rectangular plates in terms of a set of static Timoshenko beam functions
Authors
Issue Date2000
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 2000, v. 78 n. 6, p. 757-768 How to Cite?
AbstractIn this paper, a set of static Timoshenko beam functions is developed as the admissible functions to study the free vibrations of moderately thick rectangular plates using the Rayleigh-Ritz method. This set of beam functions is made up of the static solutions of a Timoshenko beam under a series of sinusoidal distributed loads. The beam is considered to be a unit width strip taken from the rectangular plate in a direction parallel to the edges of the plate. In addition, the geometric boundary conditions of the plate are exactly satisfied in this set of beam functions, and the effect of the shear correction factor on the admissible functions of the plate is also taken into account. It can be seen that the method is sound in theory and no complicated mathematical knowledge is needed. Each of the beam functions is only a third-order polynomial plus a sine function or a cosine function. Furthermore, a change of the boundary conditions of the plate only results in a change of the coefficients of the polynomial. The method is very simple and a unified computational program can be given for the plates with arbitrary boundary conditions and thickness. Comparison and convergency studies demonstrate the correctness and the accuracy of the method. It can be shown that using a small number of terms of the static Timoshenko beam functions can give rather accurate results for all cases. Finally, the effect of thickness-span ratio on the eigenfrequency parameters of Mindlin rectangular plates is studied in detail.
Persistent Identifierhttp://hdl.handle.net/10722/71507
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:32:37Z-
dc.date.available2010-09-06T06:32:37Z-
dc.date.issued2000en_HK
dc.identifier.citationComputers And Structures, 2000, v. 78 n. 6, p. 757-768en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71507-
dc.description.abstractIn this paper, a set of static Timoshenko beam functions is developed as the admissible functions to study the free vibrations of moderately thick rectangular plates using the Rayleigh-Ritz method. This set of beam functions is made up of the static solutions of a Timoshenko beam under a series of sinusoidal distributed loads. The beam is considered to be a unit width strip taken from the rectangular plate in a direction parallel to the edges of the plate. In addition, the geometric boundary conditions of the plate are exactly satisfied in this set of beam functions, and the effect of the shear correction factor on the admissible functions of the plate is also taken into account. It can be seen that the method is sound in theory and no complicated mathematical knowledge is needed. Each of the beam functions is only a third-order polynomial plus a sine function or a cosine function. Furthermore, a change of the boundary conditions of the plate only results in a change of the coefficients of the polynomial. The method is very simple and a unified computational program can be given for the plates with arbitrary boundary conditions and thickness. Comparison and convergency studies demonstrate the correctness and the accuracy of the method. It can be shown that using a small number of terms of the static Timoshenko beam functions can give rather accurate results for all cases. Finally, the effect of thickness-span ratio on the eigenfrequency parameters of Mindlin rectangular plates is studied in detail.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.titleVibrations of moderately thick rectangular plates in terms of a set of static Timoshenko beam functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949&volume=78&spage=757 &epage= 768&date=2000&atitle=Vibrations+of+moderately+thick+rectangular+plates+in+terms+of+a+set+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/S0045-7949(00)00058-4en_HK
dc.identifier.scopuseid_2-s2.0-0034563697en_HK
dc.identifier.hkuros56589en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034563697&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume78en_HK
dc.identifier.issue6en_HK
dc.identifier.spage757en_HK
dc.identifier.epage768en_HK
dc.identifier.isiWOS:000165238300002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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