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Article: On the internal resonance of multi-degree-of-freedom systems with cubic non-linearity

TitleOn the internal resonance of multi-degree-of-freedom systems with cubic non-linearity
Authors
Issue Date1989
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1989, v. 128 n. 1, p. 13-24 How to Cite?
AbstractA new method of multiple scales procedure is used to analyze the forced responses of multiple degrees of freedom systems with cubic non-linearity, in which the internal resonance takes place simultaneously together with the forced resonances. Attention is focused on the superharmonic and subharmonic resonance caused by internal resonance as Ω is near Ω1 or Ω2, where Ω is the forcing frequency, and Ω1 and Ω2 are the first and the second natural frequencies. It is found that the responses are usually excitation-level dependent and there is a critical excitation amplitude f{hook}c. In the case of Ω near Ω1, when f{hook}>f{hook}c the "out-of-phase" superharmonic resonance disappears. In the case of Ω near Ω2, when 0f{hook}c, one branch of responses vanishes. The critical excitation amplitudes in different forced vibration are determined analytically in this paper. © 1989.
Persistent Identifierhttp://hdl.handle.net/10722/149932
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLau, SLen_US
dc.date.accessioned2012-06-26T06:00:38Z-
dc.date.available2012-06-26T06:00:38Z-
dc.date.issued1989en_US
dc.identifier.citationJournal Of Sound And Vibration, 1989, v. 128 n. 1, p. 13-24en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149932-
dc.description.abstractA new method of multiple scales procedure is used to analyze the forced responses of multiple degrees of freedom systems with cubic non-linearity, in which the internal resonance takes place simultaneously together with the forced resonances. Attention is focused on the superharmonic and subharmonic resonance caused by internal resonance as Ω is near Ω1 or Ω2, where Ω is the forcing frequency, and Ω1 and Ω2 are the first and the second natural frequencies. It is found that the responses are usually excitation-level dependent and there is a critical excitation amplitude f{hook}c. In the case of Ω near Ω1, when f{hook}>f{hook}c the "out-of-phase" superharmonic resonance disappears. In the case of Ω near Ω2, when 0<f{hook}<f{hook}c, there are two branches of response; when f{hook}>f{hook}c, one branch of responses vanishes. The critical excitation amplitudes in different forced vibration are determined analytically in this paper. © 1989.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.titleOn the internal resonance of multi-degree-of-freedom systems with cubic non-linearityen_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-s2.0-0024964198en_US
dc.identifier.volume128en_US
dc.identifier.issue1en_US
dc.identifier.spage13en_US
dc.identifier.epage24en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US

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