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Article: Three-dimensional vibration analysis of prisms with isosceles triangular cross-section

TitleThree-dimensional vibration analysis of prisms with isosceles triangular cross-section
Authors
KeywordsElasticity solution
Prism
Ritz method
Three-dimensional vibration
Triangular cross-section
Issue Date2010
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00419/index.htm
Citation
Archive Of Applied Mechanics, 2010, v. 80 n. 6, p. 699-710 How to Cite?
AbstractThis paper studies the three-dimensional (3-D) free vibration of uniform prisms with isosceles triangular cross-section, based on the exact, linear and small strain elasticity theory. The actual triangular prismatic domain is first mapped onto a basic cubic domain. Then the Ritz method is applied to derive the eigenfrequency equation from the energy functional of the prism. A set of triplicate Chebyshev polynomial series, multiplied by a boundary function chosen to, a priori, satisfy the geometric boundary conditions of the prism is developed as the admissible functions of each displacement component. The convergence and comparison study demonstrates the high accuracy and numerical robustness of the present method. The effect of length-thickness ratio and apex angle on eigenfrequencies of the prisms is studied in detail and the results are compared with those obtained from the classical one-dimensional theory and the 3-D finite element method. Sets of valuable data known for the first time are reported, which can serve as benchmark values in applying various approximate beam and rod theories. © 2009 Springer-Verlag.
Persistent Identifierhttp://hdl.handle.net/10722/124008
ISSN
2014 Impact Factor: 1.114
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorAu, FTKen_HK
dc.date.accessioned2010-10-19T04:32:44Z-
dc.date.available2010-10-19T04:32:44Z-
dc.date.issued2010en_HK
dc.identifier.citationArchive Of Applied Mechanics, 2010, v. 80 n. 6, p. 699-710en_HK
dc.identifier.issn0939-1533en_HK
dc.identifier.urihttp://hdl.handle.net/10722/124008-
dc.description.abstractThis paper studies the three-dimensional (3-D) free vibration of uniform prisms with isosceles triangular cross-section, based on the exact, linear and small strain elasticity theory. The actual triangular prismatic domain is first mapped onto a basic cubic domain. Then the Ritz method is applied to derive the eigenfrequency equation from the energy functional of the prism. A set of triplicate Chebyshev polynomial series, multiplied by a boundary function chosen to, a priori, satisfy the geometric boundary conditions of the prism is developed as the admissible functions of each displacement component. The convergence and comparison study demonstrates the high accuracy and numerical robustness of the present method. The effect of length-thickness ratio and apex angle on eigenfrequencies of the prisms is studied in detail and the results are compared with those obtained from the classical one-dimensional theory and the 3-D finite element method. Sets of valuable data known for the first time are reported, which can serve as benchmark values in applying various approximate beam and rod theories. © 2009 Springer-Verlag.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00419/index.htmen_HK
dc.relation.ispartofArchive of Applied Mechanicsen_HK
dc.rightsThe original publication is available at www.springerlink.comen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectElasticity solutionen_HK
dc.subjectPrismen_HK
dc.subjectRitz methoden_HK
dc.subjectThree-dimensional vibrationen_HK
dc.subjectTriangular cross-sectionen_HK
dc.titleThree-dimensional vibration analysis of prisms with isosceles triangular cross-sectionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0939-1533&volume=80&issue=6&spage=699&epage=710&date=2010&atitle=Three-dimensional+vibration+analysis+of+prisms+with+isosceles+triangular+cross-section-
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailAu, FTK:francis.au@hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityAu, FTK=rp00083en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1007/s00419-009-0337-7en_HK
dc.identifier.scopuseid_2-s2.0-77952011371en_HK
dc.identifier.hkuros175835-
dc.identifier.hkuros195765-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77952011371&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume80en_HK
dc.identifier.issue6en_HK
dc.identifier.spage699en_HK
dc.identifier.epage710en_HK
dc.identifier.isiWOS:000276489400009-
dc.publisher.placeGermanyen_HK
dc.description.otherSpringer Open Choice, 01 Dec 2010-
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridAu, FTK=7005204072en_HK
dc.identifier.citeulike4935435-

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