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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
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 0.687
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. 3375-3383-
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.relation.ispartofJournal of the Acoustical Society of America-
dc.rightsCopyright 1999 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Journal of the Acoustical Society of America, 1999, v. 106 n. 6, p. 3375-3383 and may be found at https://doi.org/10.1121/1.428191-
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.volume106-
dc.identifier.issue6-
dc.identifier.spage3375-
dc.identifier.epage3383-
dc.identifier.isiWOS:000084328700037-
dc.identifier.issnl0001-4966-

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