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Article: Convergence Studies of Dynamic Analysis by Using the Finite Element Method With Lumped Mass Matrix

TitleConvergence Studies of Dynamic Analysis by Using the Finite Element Method With Lumped Mass Matrix
Authors
Issue Date1993
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1993, v. 165 n. 2, p. 193-207 How to Cite?
AbstractThe convergence rates of the natural frequencies and the dynamic response of plates obtained when using the 12-degree-of-freedom, non-conforming rectangular plate element with the lumped mass formulation are studied for particular problems. Finite element solutions for a square plate with all edges simply supported are derived in explicit form by using the double U-transformation method. It has been found that the convergence rate of the natural frequencies for the lumped mass discretization is the same as that for a consistent mass formulation and is dependent on the Poisson ratio μ. The finite element solutions of the dynamic response with arbitrary excitation may similarly be derived. It is shown that the rate of convergence is dependent on the type of loading. © 1993 Academic Press. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150021
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, HCen_US
dc.contributor.authorCai, CWen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:01:08Z-
dc.date.available2012-06-26T06:01:08Z-
dc.date.issued1993en_US
dc.identifier.citationJournal Of Sound And Vibration, 1993, v. 165 n. 2, p. 193-207en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150021-
dc.description.abstractThe convergence rates of the natural frequencies and the dynamic response of plates obtained when using the 12-degree-of-freedom, non-conforming rectangular plate element with the lumped mass formulation are studied for particular problems. Finite element solutions for a square plate with all edges simply supported are derived in explicit form by using the double U-transformation method. It has been found that the convergence rate of the natural frequencies for the lumped mass discretization is the same as that for a consistent mass formulation and is dependent on the Poisson ratio μ. The finite element solutions of the dynamic response with arbitrary excitation may similarly be derived. It is shown that the rate of convergence is dependent on the type of loading. © 1993 Academic Press. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titleConvergence Studies of Dynamic Analysis by Using the Finite Element Method With Lumped Mass Matrixen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1006/jsvi.1993.1253en_US
dc.identifier.scopuseid_2-s2.0-0027912132en_US
dc.identifier.volume165en_US
dc.identifier.issue2en_US
dc.identifier.spage193en_US
dc.identifier.epage207en_US
dc.identifier.isiWOS:A1993LV60300001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChan, HC=7403402425en_US
dc.identifier.scopusauthoridCai, CW=7202874053en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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