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Article: 3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method

Title3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz method
Authors
Issue Date2004
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal of Solids and Structures, 2004, v. 41 n. 16-17, p. 4697-4712 How to Cite?
Abstract
The 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.
Persistent Identifierhttp://hdl.handle.net/10722/150337
ISSN
2013 Impact Factor: 2.035
2013 SCImago Journal Rankings: 1.713
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_US
dc.contributor.authorLo, SHen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorAu, FTKen_US
dc.date.accessioned2012-06-26T06:03:27Z-
dc.date.available2012-06-26T06:03:27Z-
dc.date.issued2004en_US
dc.identifier.citationInternational Journal of Solids and Structures, 2004, v. 41 n. 16-17, p. 4697-4712en_US
dc.identifier.issn0020-7683en_US
dc.identifier.urihttp://hdl.handle.net/10722/150337-
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.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_US
dc.relation.ispartofInternational Journal of Solids and Structuresen_US
dc.title3-D vibration analysis of generalized super elliptical plates using Chebyshev-Ritz methoden_US
dc.typeArticleen_US
dc.identifier.emailZhou, D: dingzhou57@yahoo.comen_US
dc.identifier.emailLo, SH: hreclsh@hkucc.hku.hken_US
dc.identifier.emailCheung, YK: hreccyk@hkucc.hku.hken_US
dc.identifier.emailAu, FTK: francis.au@hku.hk-
dc.identifier.authorityLo, SH=rp00223en_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.ijsolstr.2004.02.045en_US
dc.identifier.scopuseid_2-s2.0-3042537206en_US
dc.identifier.hkuros92892-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-3042537206&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume41en_US
dc.identifier.issue16-17en_US
dc.identifier.spage4697en_US
dc.identifier.epage4712en_US
dc.identifier.isiWOS:000222819000024-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US

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