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dc.contributor.authorYang, X.-D.
dc.contributor.authorLiu, M.
dc.contributor.authorZhang, W.
dc.contributor.authorQian, Y.J.
dc.contributor.authorMelnik, R. 
dc.date.accessioned2016-06-13T13:32:21Z
dc.date.available2016-06-13T13:32:21Z
dc.date.issued2016-01-01
dc.identifier.issn1758-8251
dc.identifier.urihttp://hdl.handle.net/20.500.11824/157
dc.description.abstractSome perturbation methods in the studying vibrations of the linear time-varying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method with linear scales, have been used from a new perspective based on analytical approximations to the corresponding LTV ordinary differential equations. The deploying beam model has been taken as an example to validate the explicit approximate solutions obtained by these perturbation methods. It is demonstrated that such approximate solutions have good agreement with numerical and exact solutions, excluding the vicinity of the turning point.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectdeploying beam problem
dc.subjectMultiple scales
dc.subjectperturbations
dc.subjecttime-varying systems
dc.titleOn the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1142/S1758825116500356
dc.relation.publisherversionhttp://www.worldscientific.com/doi/10.1142/S1758825116500356
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleInternational Journal of Applied Mechanicsen_US


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