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Article: Forced vibration analysis for damped periodic systems with one nonlinear disorder

TitleForced vibration analysis for damped periodic systems with one nonlinear disorder
Authors
Issue Date2000
PublisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal Of Applied Mechanics, Transactions Asme, 2000, v. 67 n. 1, p. 140-147 How to Cite?
AbstractThe steady-state responses of damped periodic systems with finite or infinite degrees-of-freedom and one nonlinear disorder to harmonic excitation are investigated by using the Lindstedt-Poincare method and the U-transformation technique. The perturbation solutions with zero-order and first-order approximations, which involve a parameter n, i.e., the total number of subsystems, as well as the other structural parameters, are derived. When n approaches infinity, the limiting solutions are applicable to the system with infinite number of subsystems. For the zero-order approximation, there is an attenuation constant which denotes the ratio of amplitudes between any two adjacent subsystems. The attenuation constant is derived in an explicit form and calculated for several values of the damping coefficient and the ratio of the driving frequency to the lower limit of the pass band.
Persistent Identifierhttp://hdl.handle.net/10722/71811
ISSN
2023 Impact Factor: 2.6
2023 SCImago Journal Rankings: 0.726
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, HCen_HK
dc.contributor.authorCai, CWen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:35:23Z-
dc.date.available2010-09-06T06:35:23Z-
dc.date.issued2000en_HK
dc.identifier.citationJournal Of Applied Mechanics, Transactions Asme, 2000, v. 67 n. 1, p. 140-147en_HK
dc.identifier.issn0021-8936en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71811-
dc.description.abstractThe steady-state responses of damped periodic systems with finite or infinite degrees-of-freedom and one nonlinear disorder to harmonic excitation are investigated by using the Lindstedt-Poincare method and the U-transformation technique. The perturbation solutions with zero-order and first-order approximations, which involve a parameter n, i.e., the total number of subsystems, as well as the other structural parameters, are derived. When n approaches infinity, the limiting solutions are applicable to the system with infinite number of subsystems. For the zero-order approximation, there is an attenuation constant which denotes the ratio of amplitudes between any two adjacent subsystems. The attenuation constant is derived in an explicit form and calculated for several values of the damping coefficient and the ratio of the driving frequency to the lower limit of the pass band.en_HK
dc.languageengen_HK
dc.publisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_HK
dc.relation.ispartofJournal of Applied Mechanics, Transactions ASMEen_HK
dc.titleForced vibration analysis for damped periodic systems with one nonlinear disorderen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0021-8936&volume=67&spage=140 &epage= 147&date=2000&atitle=Forced+vibration+analysis+for+damped+periodic+systems+with+one+nonlinear+disorderen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1115/1.321158en_HK
dc.identifier.scopuseid_2-s2.0-0034155605en_HK
dc.identifier.hkuros56582en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034155605&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume67en_HK
dc.identifier.issue1en_HK
dc.identifier.spage140en_HK
dc.identifier.epage147en_HK
dc.identifier.isiWOS:000087541900018-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, HC=7403402425en_HK
dc.identifier.scopusauthoridCai, CW=7202874053en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.issnl0021-8936-

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