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Article: Free vibration of line supported rectangular plates using a set of static beam functions

TitleFree vibration of line supported rectangular plates using a set of static beam functions
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. 2, p. 231-245 How to Cite?
AbstractThe free vibration of thin orthotropic rectangular plates, which may be continuous over a number of intermediate line supports in one or two directions, is analyzed by the Rayleigh-Ritz method. A new set of admissible functions which are the static solutions of a point supported beam under a series of sine loads is developed. The eigenfrequency equation for the plate is derived by minimizing the potential energy. A very simple and general computer programme has been compiled. The basic concept to form the set of static beam functions is very clear and requires no complicated mathematical knowledge. Some numerical results presented are compared with those obtained by other numerical methods in the literature. It is shown that this set of static beam functions has some advantages in terms of computational cost, application versatility and numerical accuracy, especially for the plate problem with a large number of intermediate line supports and/or when higher vibrating modes need to be calculated. © 1999 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/71020
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:28:11Z-
dc.date.available2010-09-06T06:28:11Z-
dc.date.issued1999en_HK
dc.identifier.citationJournal Of Sound And Vibration, 1999, v. 223 n. 2, p. 231-245en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71020-
dc.description.abstractThe free vibration of thin orthotropic rectangular plates, which may be continuous over a number of intermediate line supports in one or two directions, is analyzed by the Rayleigh-Ritz method. A new set of admissible functions which are the static solutions of a point supported beam under a series of sine loads is developed. The eigenfrequency equation for the plate is derived by minimizing the potential energy. A very simple and general computer programme has been compiled. The basic concept to form the set of static beam functions is very clear and requires no complicated mathematical knowledge. Some numerical results presented are compared with those obtained by other numerical methods in the literature. It is shown that this set of static beam functions has some advantages in terms of computational cost, application versatility and numerical accuracy, especially for the plate problem with a large number of intermediate line supports and/or when higher vibrating modes need to be calculated. © 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.titleFree vibration of line supported rectangular plates using a set of static beam functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=223 &issue=2&spage=231 &epage= 245&date=1999&atitle=Free+vibration+of+line+supported+rectangular+plates+using+a+set+of+static+beam+functionsen_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-s2.0-0000727982en_HK
dc.identifier.hkuros56571en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0000727982&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume223en_HK
dc.identifier.issue2en_HK
dc.identifier.spage231en_HK
dc.identifier.epage245en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridZhou, D=7403395115en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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