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Article: 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
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Title3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
 
AuthorsZhou, D1
Lo, SH2
Au, FTK2
Cheung, YK2
Liu, WQ1
 
KeywordsChebyshev Polynomial
Eigenfrequency
Elasticity
Ritz Method
Skew Thick Plate
Three-Dimensional Vibration
 
Issue Date2006
 
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecsci
 
CitationInternational Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015
 
AbstractThe free vibration characteristics of skew thick plates with arbitrary boundary conditions have been studied based on the three-dimensional, linear and small strain elasticity theory. The actual skew plate domain is mapped onto a basic cubic domain and the eigenvalue equation is then derived from the energy functional of the plate by using the Ritz method. A set of triplicate Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometric boundary conditions of the plate is developed as the trial functions of the displacement components. The vibration modes are divided into antisymmetric and symmetric ones in the thickness direction and can be studied individually. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. Parametric investigations on rhombic plates with fully clamped edges and completely free edges are performed in detail, with respect to the thickness-span ratio and skew angle. Some results known for the first time are reported, which may serve as the benchmark values for future numerical technique research. © 2006 Elsevier Ltd. All rights reserved.
 
ISSN0020-7403
2013 Impact Factor: 2.061
2013 SCImago Journal Rankings: 1.387
 
DOIhttp://dx.doi.org/10.1016/j.ijmecsci.2006.06.015
 
ISI Accession Number IDWOS:000242509700016
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorZhou, D
 
dc.contributor.authorLo, SH
 
dc.contributor.authorAu, FTK
 
dc.contributor.authorCheung, YK
 
dc.contributor.authorLiu, WQ
 
dc.date.accessioned2012-06-26T06:03:58Z
 
dc.date.available2012-06-26T06:03:58Z
 
dc.date.issued2006
 
dc.description.abstractThe free vibration characteristics of skew thick plates with arbitrary boundary conditions have been studied based on the three-dimensional, linear and small strain elasticity theory. The actual skew plate domain is mapped onto a basic cubic domain and the eigenvalue equation is then derived from the energy functional of the plate by using the Ritz method. A set of triplicate Chebyshev polynomial series multiplied by a boundary function chosen to satisfy the essential geometric boundary conditions of the plate is developed as the trial functions of the displacement components. The vibration modes are divided into antisymmetric and symmetric ones in the thickness direction and can be studied individually. The convergence and comparison studies show that rather accurate results can be obtained by using this approach. Parametric investigations on rhombic plates with fully clamped edges and completely free edges are performed in detail, with respect to the thickness-span ratio and skew angle. Some results known for the first time are reported, which may serve as the benchmark values for future numerical technique research. © 2006 Elsevier Ltd. All rights reserved.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationInternational Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.ijmecsci.2006.06.015
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.ijmecsci.2006.06.015
 
dc.identifier.epage1493
 
dc.identifier.hkuros137027
 
dc.identifier.isiWOS:000242509700016
 
dc.identifier.issn0020-7403
2013 Impact Factor: 2.061
2013 SCImago Journal Rankings: 1.387
 
dc.identifier.issue12
 
dc.identifier.scopuseid_2-s2.0-33749252919
 
dc.identifier.spage1481
 
dc.identifier.urihttp://hdl.handle.net/10722/150373
 
dc.identifier.volume48
 
dc.languageeng
 
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecsci
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofInternational Journal of Mechanical Sciences
 
dc.relation.referencesReferences in Scopus
 
dc.subjectChebyshev Polynomial
 
dc.subjectEigenfrequency
 
dc.subjectElasticity
 
dc.subjectRitz Method
 
dc.subjectSkew Thick Plate
 
dc.subjectThree-Dimensional Vibration
 
dc.title3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
 
dc.typeArticle
 
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Author Affiliations
  1. Nanjing University of Technology
  2. The University of Hong Kong