File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: 3-D vibration analysis of annular sector plates using the Chebyshev-Ritz method

Title3-D vibration analysis of annular sector plates using the Chebyshev-Ritz method
Authors
KeywordsBoundary conditions
Chebyshev approximation
Polynomial approximation
Linear elasticity theories
Vibration spectrums
Issue Date2009
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2009, v. 320 n. 1-2, p. 421-437 How to Cite?
Abstract
The three-dimensional free vibration of annular sector plates with various boundary conditions is studied by means of the Chebyshev-Ritz method. The analysis is based on the three-dimensional small strain linear elasticity theory. The product of Chebyshev polynomials satisfying the necessary boundary conditions is selected as admissible functions in such a way that the governing eigenvalue equation can be conveniently derived through an optimization process by the Ritz method. The boundary functions guarantee the satisfaction of the geometric boundary conditions of the plates and the Chebyshev polynomials provide the robustness for numerical calculation. The present study provides a full vibration spectrum for the thick annular sector plates, which cannot be given by the two-dimensional (2-D) theories such as the Mindlin theory. Comprehensive numerical results with high accuracy are systematically produced, which can be used as benchmark to evaluate other numerical methods. The effect of radius ratio, thickness ratio and sector angle on natural frequencies of the plates with a sector angle from 120° to 360° is discussed in detail. The three-dimensional vibration solutions for plates with a re-entrant sector angle (larger than 180°) and shallow helicoidal shells (sector angle larger than 360°) with a small helix angle are presented for the first time. © 2008 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/139096
ISSN
2013 Impact Factor: 1.857
ISI Accession Number ID
References

 

Author Affiliations
  1. Nanjing University of Technology
  2. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2011-09-23T05:44:55Z-
dc.date.available2011-09-23T05:44:55Z-
dc.date.issued2009en_HK
dc.identifier.citationJournal Of Sound And Vibration, 2009, v. 320 n. 1-2, p. 421-437en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/139096-
dc.description.abstractThe three-dimensional free vibration of annular sector plates with various boundary conditions is studied by means of the Chebyshev-Ritz method. The analysis is based on the three-dimensional small strain linear elasticity theory. The product of Chebyshev polynomials satisfying the necessary boundary conditions is selected as admissible functions in such a way that the governing eigenvalue equation can be conveniently derived through an optimization process by the Ritz method. The boundary functions guarantee the satisfaction of the geometric boundary conditions of the plates and the Chebyshev polynomials provide the robustness for numerical calculation. The present study provides a full vibration spectrum for the thick annular sector plates, which cannot be given by the two-dimensional (2-D) theories such as the Mindlin theory. Comprehensive numerical results with high accuracy are systematically produced, which can be used as benchmark to evaluate other numerical methods. The effect of radius ratio, thickness ratio and sector angle on natural frequencies of the plates with a sector angle from 120° to 360° is discussed in detail. The three-dimensional vibration solutions for plates with a re-entrant sector angle (larger than 180°) and shallow helicoidal shells (sector angle larger than 360°) with a small helix angle are presented for the first time. © 2008 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.subjectBoundary conditions-
dc.subjectChebyshev approximation-
dc.subjectPolynomial approximation-
dc.subjectLinear elasticity theories-
dc.subjectVibration spectrums-
dc.title3-D vibration analysis of annular sector plates using the Chebyshev-Ritz methoden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=320&issue=1-2&spage=421&epage=437&date=2009&atitle=3-D+vibration+analysis+of+annular+sector+plates+using+the+Chebyshev-Ritz+methoden_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jsv.2008.08.001en_HK
dc.identifier.scopuseid_2-s2.0-57349180711en_HK
dc.identifier.hkuros195799en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-57349180711&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume320en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage421en_HK
dc.identifier.epage437en_HK
dc.identifier.isiWOS:000262790500024-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats