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Article: Three-dimensional vibration analysis of a cantilevered parallelepiped: Exact and approximate solutions

TitleThree-dimensional vibration analysis of a cantilevered parallelepiped: Exact and approximate solutions
Authors
KeywordsPhysics
Sound
Issue Date1999
PublisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.html
Citation
Journal of the Acoustical Society of America, 1999, v. 106 n. 6, p. 3375-3383 How to Cite?
AbstractThe paper investigates the hypothetical assumption of neglecting transverse normal stress in vibration analysis for cantilevered thick plates and rectangular parallelepiped. The analysis solves the three-dimensional elasticity energy functional including, as well as excluding, transverse normal stress and obtains free vibration solutions for a cantilevered parallelepiped. Although it is widely accepted, the omission of transverse normal stress is well justified in Kirchhoff–Love thin-plate theory and higher-order thick-plate models; the transverse normal stress effects and thickness extent to which the thick-plate models apply as the thickness increases are practically unknown. The inconsistency of assuming constant transverse normal displacement through thickness for thick-plate models is also addressed. The paper concludes that for a rectangular parallelepiped with thickness exceeding a certain limit, there is considerable discrepancy if transverse normal stress is neglected.
Persistent Identifierhttp://hdl.handle.net/10722/44933
ISSN
2015 Impact Factor: 1.572
2015 SCImago Journal Rankings: 0.938
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLim, CWen_HK
dc.date.accessioned2007-10-30T06:13:46Z-
dc.date.available2007-10-30T06:13:46Z-
dc.date.issued1999en_HK
dc.identifier.citationJournal of the Acoustical Society of America, 1999, v. 106 n. 6, p. 3375-3383en_HK
dc.identifier.issn0001-4966en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44933-
dc.description.abstractThe paper investigates the hypothetical assumption of neglecting transverse normal stress in vibration analysis for cantilevered thick plates and rectangular parallelepiped. The analysis solves the three-dimensional elasticity energy functional including, as well as excluding, transverse normal stress and obtains free vibration solutions for a cantilevered parallelepiped. Although it is widely accepted, the omission of transverse normal stress is well justified in Kirchhoff–Love thin-plate theory and higher-order thick-plate models; the transverse normal stress effects and thickness extent to which the thick-plate models apply as the thickness increases are practically unknown. The inconsistency of assuming constant transverse normal displacement through thickness for thick-plate models is also addressed. The paper concludes that for a rectangular parallelepiped with thickness exceeding a certain limit, there is considerable discrepancy if transverse normal stress is neglected.en_HK
dc.format.extent127062 bytes-
dc.format.extent2079 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAcoustical Society of America. The Journal's web site is located at http://asa.aip.org/jasa.htmlen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectPhysicsen_HK
dc.subjectSounden_HK
dc.titleThree-dimensional vibration analysis of a cantilevered parallelepiped: Exact and approximate solutionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0001-4966&volume=106&issue=6&spage=3375&epage=3383&date=1999&atitle=Three-dimensional+vibration+analysis+of+a+cantilevered+parallelepiped:+Exact+and+approximate+solutionsen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1121/1.428191en_HK
dc.identifier.scopuseid_2-s2.0-0032761355-
dc.identifier.isiWOS:000084328700037-

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