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Article: 3-D vibration analysis of circular rings with sectorial cross-sections

Title3-D vibration analysis of circular rings with sectorial cross-sections
Authors
KeywordsChebyshev polynomials
Circular ring
Free vibration characteristic
Linear elasticity theory
Vibration analysis
Issue Date2010
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2010, v. 329 n. 9, p. 1523-1535 How to Cite?
Abstract
The free vibration characteristics of circular rings with sectorial cross-section are studied based on the three-dimensional (3-D), small strain, linear elasticity theory. The complete vibration spectrum has been obtained by using the Ritz method. A set of three-dimensional orthogonal coordinates composing of the polar coordinates (r,θ) at the origin of the sectorial cross-section and circumferential coordinate φ{symbol} around the ring is developed to describe the variables in the analysis. Each of the displacement components is taken as a triplicate series: two Chebyshev polynomial series, respectively, about the r and θ coordinates, and a trigonometric series about the φ{symbol} coordinate. Frequency parameters and vibration mode shapes are computed by means of the displacement-based extremum energy principle. Upper bound convergence of the first eight frequency parameters accurate to at least five significant figures is presented. The effect of radius ratio, subtended angle, and initial slope angle on frequency parameters is investigated in detail. All major modes such as flexural modes, thickness-shear modes, stretching modes, and torsional modes, etc. are presented in the paper. The present results may serve as a benchmark reference to validate the accuracy of various approximate theories and other computational techniques for the vibration of circular rings. © 2009 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/139089
ISSN
2013 Impact Factor: 1.857
ISI Accession Number ID
Funding AgencyGrant Number
University of Hong Kong
Funding Information:

The work described in this paper was supported by the CAS membership "Structural vibrations in three-dimensional solids" from The University of Hong Kong.

References

 

Author Affiliations
  1. Nanjing University of Technology
  2. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2011-09-23T05:44:53Z-
dc.date.available2011-09-23T05:44:53Z-
dc.date.issued2010en_HK
dc.identifier.citationJournal Of Sound And Vibration, 2010, v. 329 n. 9, p. 1523-1535en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/139089-
dc.description.abstractThe free vibration characteristics of circular rings with sectorial cross-section are studied based on the three-dimensional (3-D), small strain, linear elasticity theory. The complete vibration spectrum has been obtained by using the Ritz method. A set of three-dimensional orthogonal coordinates composing of the polar coordinates (r,θ) at the origin of the sectorial cross-section and circumferential coordinate φ{symbol} around the ring is developed to describe the variables in the analysis. Each of the displacement components is taken as a triplicate series: two Chebyshev polynomial series, respectively, about the r and θ coordinates, and a trigonometric series about the φ{symbol} coordinate. Frequency parameters and vibration mode shapes are computed by means of the displacement-based extremum energy principle. Upper bound convergence of the first eight frequency parameters accurate to at least five significant figures is presented. The effect of radius ratio, subtended angle, and initial slope angle on frequency parameters is investigated in detail. All major modes such as flexural modes, thickness-shear modes, stretching modes, and torsional modes, etc. are presented in the paper. The present results may serve as a benchmark reference to validate the accuracy of various approximate theories and other computational techniques for the vibration of circular rings. © 2009 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.subjectChebyshev polynomials-
dc.subjectCircular ring-
dc.subjectFree vibration characteristic-
dc.subjectLinear elasticity theory-
dc.subjectVibration analysis-
dc.title3-D vibration analysis of circular rings with sectorial cross-sectionsen_HK
dc.typeArticleen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jsv.2009.11.004en_HK
dc.identifier.scopuseid_2-s2.0-74149084857en_HK
dc.identifier.hkuros195768en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-74149084857&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume329en_HK
dc.identifier.issue9en_HK
dc.identifier.spage1523en_HK
dc.identifier.epage1535en_HK
dc.identifier.isiWOS:000274758700022-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.citeulike6212007-

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