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Article: Vibration analysis of rectangular Mindlin plates with internal line supports using static Timoshenko beam functions

TitleVibration analysis of rectangular Mindlin plates with internal line supports using static Timoshenko beam functions
Authors
Issue Date2002
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecsci
Citation
International Journal Of Mechanical Sciences, 2002, v. 44 n. 12, p. 2503-2522 How to Cite?
AbstractIn this paper, the vibration characteristics of rectangular Mindlin plates with internal line supports in one or two directions are studied by using the Rayleigh-Ritz method. The static Timoshenko beam functions are employed as admissible functions, which are composed of a set of transverse deflection functions and a set of rotation-angle functions due to bending. The static Timoshenko beam functions are derived from a point-supported strip of unit width taken from the particular plate under consideration in a direction parallel to the edge of the plate and acted upon by a series of static sinusoidal loads distributed along the length of the strip. It can be seen that the suggested approach is very simple mathematically, and each of the beam functions is only a sine or cosine function plus a polynomial function of not more than the third order. A unified program can be easily prepared, because the changes in boundary conditions, number and locations of internal line supports and thickness ratio of the plate will result in a corresponding change of only the coefficients of the polynomials. Both high accuracy and low computational cost have been verified by convergence and comparison studies. In addition, it can be seen that the admissible functions presented in this paper can also properly describe the discontinuity conditions of the shear forces at the line supports. Therefore, accurate results can be expected for the analysis of dynamic response and internal force distribution of the plate. © 2002 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71525
ISSN
2015 Impact Factor: 2.481
2015 SCImago Journal Rankings: 1.464
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorAu, FTKen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:32:47Z-
dc.date.available2010-09-06T06:32:47Z-
dc.date.issued2002en_HK
dc.identifier.citationInternational Journal Of Mechanical Sciences, 2002, v. 44 n. 12, p. 2503-2522en_HK
dc.identifier.issn0020-7403en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71525-
dc.description.abstractIn this paper, the vibration characteristics of rectangular Mindlin plates with internal line supports in one or two directions are studied by using the Rayleigh-Ritz method. The static Timoshenko beam functions are employed as admissible functions, which are composed of a set of transverse deflection functions and a set of rotation-angle functions due to bending. The static Timoshenko beam functions are derived from a point-supported strip of unit width taken from the particular plate under consideration in a direction parallel to the edge of the plate and acted upon by a series of static sinusoidal loads distributed along the length of the strip. It can be seen that the suggested approach is very simple mathematically, and each of the beam functions is only a sine or cosine function plus a polynomial function of not more than the third order. A unified program can be easily prepared, because the changes in boundary conditions, number and locations of internal line supports and thickness ratio of the plate will result in a corresponding change of only the coefficients of the polynomials. Both high accuracy and low computational cost have been verified by convergence and comparison studies. In addition, it can be seen that the admissible functions presented in this paper can also properly describe the discontinuity conditions of the shear forces at the line supports. Therefore, accurate results can be expected for the analysis of dynamic response and internal force distribution of the plate. © 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/ijmecscien_HK
dc.relation.ispartofInternational Journal of Mechanical Sciencesen_HK
dc.titleVibration analysis of rectangular Mindlin plates with internal line supports using static Timoshenko beam functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7403&volume=44&issue=12&spage=2503&epage=2522&date=2002&atitle=Vibration+analysis+of+rectangular+Mindlin+plates+with+internal+line+supports+using+static+Timoshenko+beam+functionsen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0020-7403(02)00188-1en_HK
dc.identifier.scopuseid_2-s2.0-0036992149en_HK
dc.identifier.hkuros76276en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036992149&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume44en_HK
dc.identifier.issue12en_HK
dc.identifier.spage2503en_HK
dc.identifier.epage2522en_HK
dc.identifier.isiWOS:000181721000008-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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