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Article: Implicit implementation of harmonic balance method for non-linear dynamic systems

TitleImplicit implementation of harmonic balance method for non-linear dynamic systems
Authors
Issue Date1988
PublisherEmerald Group Publishing Limited. The Journal's web site is located at http://www.emeraldinsight.com/info/journals/ec/ec.jsp
Citation
Engineering Computations (Swansea, Wales), 1988, v. 5 n. 2, p. 134-140 How to Cite?
AbstractA simple numerical algorithm is developed for the implementation of the harmonic balance method to analyze periodic responses of a general dynamic system having geometrical nonlinearities of the quadratic and cubic types. The resulting nonlinear algebraic equations which are not explicitly determined are solved by nonlinear equation routines available in most mathematical libraries. Various nonlinear responses, such as the combinational resonances of a hinged-clamped beam, the nonlinear effect on degenerate vibration modes of a square plate and the nonlinear oscillation of thin rings, are presented to demonstrate the versatility of the algorithm.
Persistent Identifierhttp://hdl.handle.net/10722/149904
ISSN
2015 Impact Factor: 0.691
2015 SCImago Journal Rankings: 0.387

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLu, VPen_US
dc.date.accessioned2012-06-26T06:00:28Z-
dc.date.available2012-06-26T06:00:28Z-
dc.date.issued1988en_US
dc.identifier.citationEngineering Computations (Swansea, Wales), 1988, v. 5 n. 2, p. 134-140en_US
dc.identifier.issn0264-4401en_US
dc.identifier.urihttp://hdl.handle.net/10722/149904-
dc.description.abstractA simple numerical algorithm is developed for the implementation of the harmonic balance method to analyze periodic responses of a general dynamic system having geometrical nonlinearities of the quadratic and cubic types. The resulting nonlinear algebraic equations which are not explicitly determined are solved by nonlinear equation routines available in most mathematical libraries. Various nonlinear responses, such as the combinational resonances of a hinged-clamped beam, the nonlinear effect on degenerate vibration modes of a square plate and the nonlinear oscillation of thin rings, are presented to demonstrate the versatility of the algorithm.en_US
dc.languageengen_US
dc.publisherEmerald Group Publishing Limited. The Journal's web site is located at http://www.emeraldinsight.com/info/journals/ec/ec.jspen_US
dc.relation.ispartofEngineering Computations (Swansea, Wales)en_US
dc.titleImplicit implementation of harmonic balance method for non-linear dynamic 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-s2.0-0024029711en_US
dc.identifier.volume5en_US
dc.identifier.issue2en_US
dc.identifier.spage134en_US
dc.identifier.epage140en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLu, VP=36832554100en_US

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