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Article: Internal resonance of strongly non-linear autonomous vibrating systems with many degrees of freedom

TitleInternal resonance of strongly non-linear autonomous vibrating systems with many degrees of freedom
Authors
Cheung, YKXu, Z
Issue Date1995
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1995, v. 180 n. 2, p. 229-238 How to Cite?
DOI: http://dx.doi.org/10.1006/jsvi.1995.0076
AbstractThis paper deals with an approximate method of analysis of strongly non-linear autonomous vibrating systems with many degrees of freedom. The approximate equations for amplitude and phase are obtained by a generalized averaging method using the generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. The case in which internal resonance may occur can be treated without difficulty. Results of the application of the method to coupled generalized van der Pol oscillators with a strong static non-linearity are shown and compared with other numerical results to demonstrate the validity of the approach. © 1995 Academic Press. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71708
ISSN
0022-460X
2023 Impact Factor: 4.3
2023 SCImago Journal Rankings: 1.225
ISI Accession Number ID
WOS:A1995QH08700003

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorXu, Zen_HK
dc.date.accessioned2010-09-06T06:34:27Z-
dc.date.available2010-09-06T06:34:27Z-
dc.date.issued1995en_HK
dc.identifier.citationJournal Of Sound And Vibration, 1995, v. 180 n. 2, p. 229-238en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/71708-
dc.description.abstractThis paper deals with an approximate method of analysis of strongly non-linear autonomous vibrating systems with many degrees of freedom. The approximate equations for amplitude and phase are obtained by a generalized averaging method using the generalized harmonic functions. These functions are also periodic and are exact solutions of strongly non-linear differential equations. The case in which internal resonance may occur can be treated without difficulty. Results of the application of the method to coupled generalized van der Pol oscillators with a strong static non-linearity are shown and compared with other numerical results to demonstrate the validity of the approach. © 1995 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.titleInternal resonance of strongly non-linear autonomous vibrating systems with many degrees of freedomen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-460X&volume=180&issue=2&spage=229&epage=238&date=1995&atitle=Internal+resonance+of+strongly+non-linear+autonomous+vibrating+systems+with+many+degrees+of+freedomen_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.1995.0076en_HK
dc.identifier.scopuseid_2-s2.0-0000705229en_HK
dc.identifier.hkuros1212en_HK
dc.identifier.volume180en_HK
dc.identifier.issue2en_HK
dc.identifier.spage229en_HK
dc.identifier.epage238en_HK
dc.identifier.isiWOS:A1995QH08700003-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridXu, Z=8925299600en_HK
dc.identifier.issnl0022-460X-

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