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Article: Nonlinear vibration of plane structures by finite element and incremental harmonic balance method

TitleNonlinear vibration of plane structures by finite element and incremental harmonic balance method
Authors
KeywordsFinite Element Method
Incremental Harmonic Balance Method
Nonlinear Vibration
Issue Date2001
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090X
Citation
Nonlinear Dynamics, 2001, v. 26 n. 1, p. 87-104 How to Cite?
AbstractA nonlinear steady state vibration analysis of a wide class of plane structures is analyzed. Both the finite element method and incremental harmonic balance method are used. The usual beam element is adopted in which the nonlinear effect arising from longitudinal stretching has been taken into account. Based on the geometric nonlinear finite element analysis, the nonlinear dynamic equations including quadratic and cubic nonlinearities are derived. These equations are solved by the incremental harmonic balance (IHB) method. To show the effectiveness and versatility of this method, some typical examples for a wide variety of vibration problems including fundamental resonance, super- and sub-harmonic resonance, and combination resonance of plane structures such as beams, shallow arches and frames are computed. Most of these examples have not been studied by other researchers before. Comparison with previous results are also made.
Persistent Identifierhttp://hdl.handle.net/10722/150191
ISSN
2015 Impact Factor: 3.0
2015 SCImago Journal Rankings: 1.511
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorXing, HXen_US
dc.date.accessioned2012-06-26T06:02:07Z-
dc.date.available2012-06-26T06:02:07Z-
dc.date.issued2001en_US
dc.identifier.citationNonlinear Dynamics, 2001, v. 26 n. 1, p. 87-104en_US
dc.identifier.issn0924-090Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150191-
dc.description.abstractA nonlinear steady state vibration analysis of a wide class of plane structures is analyzed. Both the finite element method and incremental harmonic balance method are used. The usual beam element is adopted in which the nonlinear effect arising from longitudinal stretching has been taken into account. Based on the geometric nonlinear finite element analysis, the nonlinear dynamic equations including quadratic and cubic nonlinearities are derived. These equations are solved by the incremental harmonic balance (IHB) method. To show the effectiveness and versatility of this method, some typical examples for a wide variety of vibration problems including fundamental resonance, super- and sub-harmonic resonance, and combination resonance of plane structures such as beams, shallow arches and frames are computed. Most of these examples have not been studied by other researchers before. Comparison with previous results are also made.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090Xen_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.subjectFinite Element Methoden_US
dc.subjectIncremental Harmonic Balance Methoden_US
dc.subjectNonlinear Vibrationen_US
dc.titleNonlinear vibration of plane structures by finite element and incremental harmonic balance methoden_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.doi10.1023/A:1012982009727en_US
dc.identifier.scopuseid_2-s2.0-0035466083en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035466083&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume26en_US
dc.identifier.issue1en_US
dc.identifier.spage87en_US
dc.identifier.epage104en_US
dc.identifier.isiWOS:000172384200006-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridChen, SH=7410249167en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridXing, HX=36641204100en_US

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