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Control of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic System

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dc.contributor.authorGhommem, Mehdien
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorHajj, Muhammad R.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-06-11en
dc.date.accessioned2014-06-12T13:28:58Zen
dc.date.available2014-06-12T13:28:58Zen
dc.date.issued2010en
dc.description.abstractLinear and nonlinear static feedback controls are implemented on a nonlinear aeroelastic system that consists of a rigid airfoil supported by nonlinear springs in the pitch and plunge directions and subjected to nonlinear aerodynamic loads. The normal form is used to investigate the Hopf bifurcation that occurs as the freestream velocity is increased and to analytically predict the amplitude and frequency of the ensuing limit cycle oscillations (LCO). It is shown that linear control can be used to delay the flutter onset and reduce the LCO amplitude. Yet, its required gains remain a function of the speed. On the other hand, nonlinear control can be efficiently implemented to convert any subcritical Hopf bifurcation into a supercritical one and to significantly reduce the LCO amplitude.en
dc.description.sponsorshipVirginia Tech Institute for Critical Technology and Applied Science (ICTAS)en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationM. Ghommem, A. H. Nayfeh, and M. R. Hajj, "Control of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic System," Mathematical Problems in Engineering, vol. 2010, Article ID 782457, 13 pages, 2010. doi:10.1155/2010/782457en
dc.identifier.doihttps://doi.org/10.1155/2010/782457en
dc.identifier.issn1024-123Xen
dc.identifier.urihttp://hdl.handle.net/10919/48918en
dc.identifier.urlhttp://www.hindawi.com/journals/mpe/2010/782457/cta/en
dc.language.isoenen
dc.publisherHindawi Publishing Corporationen
dc.rightsCreative Commons Attribution 3.0 Unporteden
dc.rights.holderCopyright © 2010 M. Ghommem et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectLocal feedback stabilizationen
dc.subjectBifurcation controlen
dc.subjectNonlinearityen
dc.subjectAeroelasticityen
dc.subjectAirfoilen
dc.subjectEngineering, multidisciplinaryen
dc.subjectMathematics, interdisciplinaryen
dc.subjectApplicationsen
dc.titleControl of Limit Cycle Oscillations of a Two-Dimensional Aeroelastic Systemen
dc.title.serialMathematical Problems in Engineeringen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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