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Article: 3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method
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Title3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method
 
AuthorsZhou, D2
Lo, SH1
Cheung, YK1
Au, FTK1
 
Issue Date2004
 
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
 
CitationInternational Journal of Solids and Structures, 2004, v. 41 n. 16-17, p. 4697-4712 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.ijsolstr.2004.02.045
 
AbstractThe three-dimensional free vibration of generalized super elliptical plates is analysed, based on the exact, small-strain and linear elasticity theory. The Ritz method is applied to derive the frequency equation. The triplicate Chebyshev polynomial series form the backbones of the admissible functions, as modified by a characteristic boundary function to ensure the satisfaction of geometric boundary conditions of the plate. Utilizing the symmetry of the plate under consideration, eight distinct vibration modes can be classified and individually solved while maintaining the same level of accuracy. The accuracy of the present method has been examined by the convergence and comparison studies. The effect of geometric parameters on vibration behaviour of the generalized super elliptical plates with free and fixed perimeters have been studied for different powers, thickness ratios and aspect ratios. © 2004 Published by Elsevier Ltd.
 
ISSN0020-7683
2013 Impact Factor: 2.035
2013 SCImago Journal Rankings: 1.713
 
DOIhttp://dx.doi.org/10.1016/j.ijsolstr.2004.02.045
 
ISI Accession Number IDWOS:000222819000024
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorZhou, D
 
dc.contributor.authorLo, SH
 
dc.contributor.authorCheung, YK
 
dc.contributor.authorAu, FTK
 
dc.date.accessioned2012-06-26T06:03:27Z
 
dc.date.available2012-06-26T06:03:27Z
 
dc.date.issued2004
 
dc.description.abstractThe three-dimensional free vibration of generalized super elliptical plates is analysed, based on the exact, small-strain and linear elasticity theory. The Ritz method is applied to derive the frequency equation. The triplicate Chebyshev polynomial series form the backbones of the admissible functions, as modified by a characteristic boundary function to ensure the satisfaction of geometric boundary conditions of the plate. Utilizing the symmetry of the plate under consideration, eight distinct vibration modes can be classified and individually solved while maintaining the same level of accuracy. The accuracy of the present method has been examined by the convergence and comparison studies. The effect of geometric parameters on vibration behaviour of the generalized super elliptical plates with free and fixed perimeters have been studied for different powers, thickness ratios and aspect ratios. © 2004 Published by Elsevier Ltd.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationInternational Journal of Solids and Structures, 2004, v. 41 n. 16-17, p. 4697-4712 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.ijsolstr.2004.02.045
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.ijsolstr.2004.02.045
 
dc.identifier.epage4712
 
dc.identifier.hkuros92892
 
dc.identifier.isiWOS:000222819000024
 
dc.identifier.issn0020-7683
2013 Impact Factor: 2.035
2013 SCImago Journal Rankings: 1.713
 
dc.identifier.issue16-17
 
dc.identifier.scopuseid_2-s2.0-3042537206
 
dc.identifier.spage4697
 
dc.identifier.urihttp://hdl.handle.net/10722/150337
 
dc.identifier.volume41
 
dc.languageeng
 
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofInternational Journal of Solids and Structures
 
dc.relation.referencesReferences in Scopus
 
dc.title3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Nanjing University of Information Science and Technology