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Article: 3-D vibration analysis of skew thick plates using Chebyshev-Ritz method

Title3-D vibration analysis of skew thick plates using Chebyshev-Ritz method
Authors
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
Citation
International Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/150373
ISSN
2014 Impact Factor: 2.034
2013 SCImago Journal Rankings: 1.387
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_US
dc.contributor.authorLo, SHen_US
dc.contributor.authorAu, FTKen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLiu, WQen_US
dc.date.accessioned2012-06-26T06:03:58Z-
dc.date.available2012-06-26T06:03:58Z-
dc.date.issued2006en_US
dc.identifier.citationInternational Journal Of Mechanical Sciences, 2006, v. 48 n. 12, p. 1481-1493en_US
dc.identifier.issn0020-7403en_US
dc.identifier.urihttp://hdl.handle.net/10722/150373-
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.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijmecscien_US
dc.relation.ispartofInternational Journal of Mechanical Sciencesen_US
dc.subjectChebyshev Polynomialen_US
dc.subjectEigenfrequencyen_US
dc.subjectElasticityen_US
dc.subjectRitz Methoden_US
dc.subjectSkew Thick Plateen_US
dc.subjectThree-Dimensional Vibrationen_US
dc.title3-D vibration analysis of skew thick plates using Chebyshev-Ritz methoden_US
dc.typeArticleen_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.ijmecsci.2006.06.015en_US
dc.identifier.scopuseid_2-s2.0-33749252919en_US
dc.identifier.hkuros137027-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33749252919&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume48en_US
dc.identifier.issue12en_US
dc.identifier.spage1481en_US
dc.identifier.epage1493en_US
dc.identifier.isiWOS:000242509700016-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLiu, WQ=14822104300en_US

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