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Article: The free vibrations of tapered rectangular plates using a new set of beam functions with the Rayleigh-Ritz method

TitleThe free vibrations of tapered rectangular plates using a new set of beam functions with the Rayleigh-Ritz method
Authors
Issue Date1999
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1999, v. 223 n. 5, p. 703-722 How to Cite?
AbstractIn this paper, the free vibrations of a wide range of non-uniform rectangular plates in one or two directions are considered. The domain of the plate is bounded by x = α1a, a and y = β1b, b in rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to the power function xsyt. A variety of tapered rectangular plates can be described by giving the taper factors, s and t, different values, s and t may be given arbitrary real numbers if both α1 ≠ 0 and β1 ≠ 0 or arbitrary non-negative numbers if α1 = 0 or β1 = 0. The uniform rectangular plate is a special case by letting both s and t equal to zero. A new set of admissible functions which are the static solutions of the tapered beam (or a strip taken from the tapered rectangular plate), under an arbitrary static load expanded into a Taylor series, is developed. Unlike conventional admissible functions, the set of static beam functions will vary appropriately with the thickness variation of the plate. The eigenfrequency equation is obtained by the use of the Rayleigh-Ritz method. A general computer program has been compiled and some numerical results are tabulated. On the basis of comparison with available results in the literature, it is shown that the first few eigenfrequencies can be obtained with good accuracy by using only a small number of terms of the static beam functions. © 1999 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/71015
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorZhou, Den_HK
dc.date.accessioned2010-09-06T06:28:09Z-
dc.date.available2010-09-06T06:28:09Z-
dc.date.issued1999en_HK
dc.identifier.citationJournal Of Sound And Vibration, 1999, v. 223 n. 5, p. 703-722en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71015-
dc.description.abstractIn this paper, the free vibrations of a wide range of non-uniform rectangular plates in one or two directions are considered. The domain of the plate is bounded by x = α1a, a and y = β1b, b in rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to the power function xsyt. A variety of tapered rectangular plates can be described by giving the taper factors, s and t, different values, s and t may be given arbitrary real numbers if both α1 ≠ 0 and β1 ≠ 0 or arbitrary non-negative numbers if α1 = 0 or β1 = 0. The uniform rectangular plate is a special case by letting both s and t equal to zero. A new set of admissible functions which are the static solutions of the tapered beam (or a strip taken from the tapered rectangular plate), under an arbitrary static load expanded into a Taylor series, is developed. Unlike conventional admissible functions, the set of static beam functions will vary appropriately with the thickness variation of the plate. The eigenfrequency equation is obtained by the use of the Rayleigh-Ritz method. A general computer program has been compiled and some numerical results are tabulated. On the basis of comparison with available results in the literature, it is shown that the first few eigenfrequencies can be obtained with good accuracy by using only a small number of terms of the static beam functions. © 1999 Academic Press.en_HK
dc.languageengen_HK
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.titleThe free vibrations of tapered rectangular plates using a new set of beam functions with the Rayleigh-Ritz methoden_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=223 &issue=5&spage=703 &epage= 722&date=1999&atitle=The+free+vibrations+of+tapered+rectangular+plates+using+a+new+set+of+beam+functions+with+the+Rayleigh-Ritz+Methoden_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0001626475en_HK
dc.identifier.hkuros42830en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0001626475&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume223en_HK
dc.identifier.issue5en_HK
dc.identifier.spage703en_HK
dc.identifier.epage722en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK

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