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Article: Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators

TitleAveraging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
Authors
Issue Date1994
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1994, v. 174 n. 4, p. 563-576 How to Cite?
AbstractAn averaging method in which generalized harmonic functions are used is applied to study the approximate solutions of the strongly non-linear oscillators ẍ + g(x) = εf{hook}(x, ẋ) and ẍ + g(x) = εF(x, ẋ, Ωt), where g(x) is an arbitrary non-linear function. The method gives the approximate solutions in terms of generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. Some phenomena considered include limit cycles of strongly non-linear autonomous oscillators and steady state response of strongly non-linear oscillators subject to weak harmonic excitation. The procedure is simple and easy to apply. © 1994 Academic Press. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71253
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorXu, Zen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:30:18Z-
dc.date.available2010-09-06T06:30:18Z-
dc.date.issued1994en_HK
dc.identifier.citationJournal Of Sound And Vibration, 1994, v. 174 n. 4, p. 563-576en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71253-
dc.description.abstractAn averaging method in which generalized harmonic functions are used is applied to study the approximate solutions of the strongly non-linear oscillators ẍ + g(x) = εf{hook}(x, ẋ) and ẍ + g(x) = εF(x, ẋ, Ωt), where g(x) is an arbitrary non-linear function. The method gives the approximate solutions in terms of generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. Some phenomena considered include limit cycles of strongly non-linear autonomous oscillators and steady state response of strongly non-linear oscillators subject to weak harmonic excitation. The procedure is simple and easy to apply. © 1994 Academic Press. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.titleAveraging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillatorsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=174&spage=563&epage=576&date=1994&atitle=Averaging+method+using+generalized+harmonic+functions+for+strongly+non-linear+oscillatorsen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1006/jsvi.1994.1294en_HK
dc.identifier.scopuseid_2-s2.0-0028466109en_HK
dc.identifier.hkuros1200en_HK
dc.identifier.volume174en_HK
dc.identifier.issue4en_HK
dc.identifier.spage563en_HK
dc.identifier.epage576en_HK
dc.identifier.isiWOS:A1994NY35600009-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridXu, Z=8925299600en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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