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Article: Vibrations of rectangular plates with elastic intermediate line-supports and edge constraints

TitleVibrations of rectangular plates with elastic intermediate line-supports and edge constraints
Authors
Issue Date2000
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/tws
Citation
Thin-Walled Structures, 2000, v. 37 n. 4, p. 305-331 How to Cite?
AbstractA set of static beam functions, which are the solutions of an elastically point-supported beam under a Fourier series of static sinusoidal loads distributed along the length of the beam, are developed as the admissible functions to analyze the vibrations of orthotropic rectangular plates with elastic intermediate line-supports using the Rayleigh-Ritz method. Both the elastic rotational and the elastic translational constraints along the edges of the plate are also considered simultaneously. Unlike conventional admissible functions, this set of static beam functions not only can automatically adjust to the stiffnesses of the intermediate line-supports but also can properly describe the discontinuity of shear forces at the line-supports so that higher accuracy and faster convergence can be expected for the dynamic analysis of such plates. The suggested approach is effective even for various limiting cases by letting the corresponding stiffnesses approach their natural limits of zero or infinity. The present method is theoretically sound and mathematically simple, with each of the static beam functions being only a third-order polynomial plus a sine function. A common and efficient computational program can be compiled because of the fact that a change of the line-support parameters (locations, number and stiffnesses) and the boundary conditions of the plate only results in a corresponding change of the coefficients of the polynomial in the static beam functions. Several numerical examples are presented and the results obtained, where possible, are compared with the known solutions in literature. The present method has proved to be extremely effective for solving the aforementioned problems.
Persistent Identifierhttp://hdl.handle.net/10722/71206
ISSN
2015 Impact Factor: 2.063
2015 SCImago Journal Rankings: 1.647
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:29:53Z-
dc.date.available2010-09-06T06:29:53Z-
dc.date.issued2000en_HK
dc.identifier.citationThin-Walled Structures, 2000, v. 37 n. 4, p. 305-331en_HK
dc.identifier.issn0263-8231en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71206-
dc.description.abstractA set of static beam functions, which are the solutions of an elastically point-supported beam under a Fourier series of static sinusoidal loads distributed along the length of the beam, are developed as the admissible functions to analyze the vibrations of orthotropic rectangular plates with elastic intermediate line-supports using the Rayleigh-Ritz method. Both the elastic rotational and the elastic translational constraints along the edges of the plate are also considered simultaneously. Unlike conventional admissible functions, this set of static beam functions not only can automatically adjust to the stiffnesses of the intermediate line-supports but also can properly describe the discontinuity of shear forces at the line-supports so that higher accuracy and faster convergence can be expected for the dynamic analysis of such plates. The suggested approach is effective even for various limiting cases by letting the corresponding stiffnesses approach their natural limits of zero or infinity. The present method is theoretically sound and mathematically simple, with each of the static beam functions being only a third-order polynomial plus a sine function. A common and efficient computational program can be compiled because of the fact that a change of the line-support parameters (locations, number and stiffnesses) and the boundary conditions of the plate only results in a corresponding change of the coefficients of the polynomial in the static beam functions. Several numerical examples are presented and the results obtained, where possible, are compared with the known solutions in literature. The present method has proved to be extremely effective for solving the aforementioned problems.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/twsen_HK
dc.relation.ispartofThin-Walled Structuresen_HK
dc.titleVibrations of rectangular plates with elastic intermediate line-supports and edge constraintsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0263-8231&volume=37&spage=305 &epage= 331&date=2000&atitle=Vibrations+of+rectangular+plates+with+elastic+intermediate+line-supports+and+edge+constraintsen_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/S0263-8231(00)00015-Xen_HK
dc.identifier.scopuseid_2-s2.0-0034248567en_HK
dc.identifier.hkuros56595en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034248567&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume37en_HK
dc.identifier.issue4en_HK
dc.identifier.spage305en_HK
dc.identifier.epage331en_HK
dc.identifier.isiWOS:000088630400002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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