File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: On perturbation procedure for limit cycle analysis

TitleOn perturbation procedure for limit cycle analysis
Authors
Issue Date1991
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlm
Citation
International Journal Of Non-Linear Mechanics, 1991, v. 26 n. 1, p. 125-133 How to Cite?
AbstractIn the use of perturbation procedure for analysing the limit cycle of an autonomous system, people usually assumed an initial condition ẋ(0) = 0. However, this initial condition is often simplified to x ̇nh(0) = 0, (n= 0, 1, 2,...) and taken as an additional condition to determine a constant, say bn, of the homogeneous solution xn = an cosτ + bn sin τ of the perturbation equation of each order. Nevertheless, this commonly accepted procedure will lead to large errors, especially for the case of larger values of the parameter ε. In this paper, a condition of constant phase angle Øn in the homogeneous solutions xnh = Ancos (τ + Øn) (n = 0, 1, 2,...) is adopted, i.e. Ø1 = Ø2 = ... = Ø. The limit cycles obtained by use of the present condition and corresponding perturbation procedure are in good agreement with the numerical results of the Runge-Kutta integration, and with the analytical expression obtained by the incremental harmonic balance method even in the case of the parameter ε = 1. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/149958
ISSN
2015 Impact Factor: 1.92
2015 SCImago Journal Rankings: 1.211

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLau, SLen_US
dc.date.accessioned2012-06-26T06:00:47Z-
dc.date.available2012-06-26T06:00:47Z-
dc.date.issued1991en_US
dc.identifier.citationInternational Journal Of Non-Linear Mechanics, 1991, v. 26 n. 1, p. 125-133en_US
dc.identifier.issn0020-7462en_US
dc.identifier.urihttp://hdl.handle.net/10722/149958-
dc.description.abstractIn the use of perturbation procedure for analysing the limit cycle of an autonomous system, people usually assumed an initial condition ẋ(0) = 0. However, this initial condition is often simplified to x ̇nh(0) = 0, (n= 0, 1, 2,...) and taken as an additional condition to determine a constant, say bn, of the homogeneous solution xn = an cosτ + bn sin τ of the perturbation equation of each order. Nevertheless, this commonly accepted procedure will lead to large errors, especially for the case of larger values of the parameter ε. In this paper, a condition of constant phase angle Øn in the homogeneous solutions xnh = Ancos (τ + Øn) (n = 0, 1, 2,...) is adopted, i.e. Ø1 = Ø2 = ... = Ø. The limit cycles obtained by use of the present condition and corresponding perturbation procedure are in good agreement with the numerical results of the Runge-Kutta integration, and with the analytical expression obtained by the incremental harmonic balance method even in the case of the parameter ε = 1. © 1990.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlmen_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_US
dc.titleOn perturbation procedure for limit cycle analysisen_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-s2.0-0025798211en_US
dc.identifier.volume26en_US
dc.identifier.issue1en_US
dc.identifier.spage125en_US
dc.identifier.epage133en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats