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Article: Eigenfrequencies of tapered rectangular plates with intermediate line supports

TitleEigenfrequencies of tapered rectangular plates with intermediate line supports
Authors
Issue Date1999
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 1999, v. 36 n. 1, p. 143-166 How to Cite?
AbstractThe free vibrations of a wide range of tapered rectangular plates with an arbitrary number of intermediate line supports in one or two directions are investigated. The domain of the plate is bounded by x = αa, a (0 ≤ α < 1) and y = βb, b (0 ≤ β < 1) in the rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to a power function xsyt. A variety of tapered rectangular plates can be described by giving the taper factors s and t various values. The intermediate line supports run parallel to the edges of the plate. A new set of admissible functions, which are the static solutions of the tapered beam with intermediate point supports, or a strip taken from the plate structure in one or the other direction under a Taylor series of loads, is developed. Consistent convergency independent of the truncation factors α and β of the plate can be obtained by taking the midpoint of the beam as the expanding point of the Taylor series. Unlike conventional admissible functions, this set of static beam functions can appropriately vary with the thickness variation of the plate. The eigenfrequency equation of the plate is derived by the Rayleigh-Ritz approach. A general computer program has been compiled. It can be seen that the convergency of the numerical computation is very rapid and that the first few eigenfrequencies can be obtained with good accuracy by using only a small number of terms of the static beam functions. Sets of first-time reported eigenfrequency data are included for future reference.
Persistent Identifierhttp://hdl.handle.net/10722/71080
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
References

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorDing, Zen_HK
dc.date.accessioned2010-09-06T06:28:44Z-
dc.date.available2010-09-06T06:28:44Z-
dc.date.issued1999en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 1999, v. 36 n. 1, p. 143-166en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71080-
dc.description.abstractThe free vibrations of a wide range of tapered rectangular plates with an arbitrary number of intermediate line supports in one or two directions are investigated. The domain of the plate is bounded by x = αa, a (0 ≤ α < 1) and y = βb, b (0 ≤ β < 1) in the rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to a power function xsyt. A variety of tapered rectangular plates can be described by giving the taper factors s and t various values. The intermediate line supports run parallel to the edges of the plate. A new set of admissible functions, which are the static solutions of the tapered beam with intermediate point supports, or a strip taken from the plate structure in one or the other direction under a Taylor series of loads, is developed. Consistent convergency independent of the truncation factors α and β of the plate can be obtained by taking the midpoint of the beam as the expanding point of the Taylor series. Unlike conventional admissible functions, this set of static beam functions can appropriately vary with the thickness variation of the plate. The eigenfrequency equation of the plate is derived by the Rayleigh-Ritz approach. A general computer program has been compiled. It can be seen that the convergency of the numerical computation is very rapid and that the first few eigenfrequencies can be obtained with good accuracy by using only a small number of terms of the static beam functions. Sets of first-time reported eigenfrequency data are included for future reference.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_HK
dc.relation.ispartofInternational Journal of Solids and Structuresen_HK
dc.titleEigenfrequencies of tapered rectangular plates with intermediate line supportsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=36&spage=143 &epage= 166&date=1999&atitle=Eigenfrequencies+of+tapered+rectangular+plates+with+intermediate+line+supportsen_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-s2.0-0032803354en_HK
dc.identifier.hkuros39736en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032803354&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume36en_HK
dc.identifier.issue1en_HK
dc.identifier.spage143en_HK
dc.identifier.epage166en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridDing, Z=7401550597en_HK

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