File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Application of the incremental harmonic balance method to cubic non-linearity systems

TitleApplication of the incremental harmonic balance method to cubic non-linearity systems
Authors
Issue Date1990
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1990, v. 140 n. 2, p. 273-286 How to Cite?
AbstractIn this paper, the formulation of the incremental harmonic balance (IHB) method is derived for a general system of differential equations with cubic non-linearity, which governs a wide range of engineering problems such as large-amplitude vibration of beams or plates. An incremental arc-length method combined with a cubic extrapolation technique is adopted to trace the response curve automatically. The stability of its periodic solutions can also be evaluated from the IHB formulation by multi-variable Floquet theory. Hsu's method is adopted for computing the transition matrix at the end of one period. Two numerical examples are presented which demonstrate the effectiveness of the IHB method and Hsu's method in treating the non-linear vibration of a strongly non-linear multiple degree of freedom system. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/149797
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChen, SHen_US
dc.contributor.authorLau, SLen_US
dc.date.accessioned2012-06-26T05:59:49Z-
dc.date.available2012-06-26T05:59:49Z-
dc.date.issued1990en_US
dc.identifier.citationJournal Of Sound And Vibration, 1990, v. 140 n. 2, p. 273-286en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149797-
dc.description.abstractIn this paper, the formulation of the incremental harmonic balance (IHB) method is derived for a general system of differential equations with cubic non-linearity, which governs a wide range of engineering problems such as large-amplitude vibration of beams or plates. An incremental arc-length method combined with a cubic extrapolation technique is adopted to trace the response curve automatically. The stability of its periodic solutions can also be evaluated from the IHB formulation by multi-variable Floquet theory. Hsu's method is adopted for computing the transition matrix at the end of one period. Two numerical examples are presented which demonstrate the effectiveness of the IHB method and Hsu's method in treating the non-linear vibration of a strongly non-linear multiple degree of freedom system. © 1990.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.titleApplication of the incremental harmonic balance method to cubic non-linearity systemsen_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.scopuseid_2-s2.0-0001315863en_US
dc.identifier.volume140en_US
dc.identifier.issue2en_US
dc.identifier.spage273en_US
dc.identifier.epage286en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats