Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies

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dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorChin, C.en
dc.contributor.authorMook, Dean T.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessioned2017-09-18T10:11:21Zen
dc.date.available2017-09-18T10:11:21Zen
dc.date.issued1995-01-01en
dc.date.updated2017-09-18T10:11:21Zen
dc.description.abstractThe method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation. The linear part of the system has a nonsemisimple one-to-one resonance. The character of the stability and various types of bifurcation including the formation of a homoclinic orbit are analyzed. The results are applied to the flutter of a simply supported panel in a supersonic airstream.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationA. H. Nayfeh, C. Chin, and D. T. Mook, “Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies,” Shock and Vibration, vol. 2, no. 1, pp. 43-57, 1995. doi:10.3233/SAV-1995-2105en
dc.identifier.doihttps://doi.org/10.3233/SAV-1995-2105en
dc.identifier.urihttp://hdl.handle.net/10919/79116en
dc.language.isoenen
dc.publisherHindawien
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderCopyright © 1995 Hindawi Publishing Corporation. 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/4.0/en
dc.titleParametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequenciesen
dc.title.serialShock and Vibrationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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