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Nonlinear resonances in a class of multi-degree-of-freedom systems

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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten
dc.contributor.authorSridhar, Seshadrien
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorMook, Dean T.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-28T14:56:09Zen
dc.date.available2015-05-28T14:56:09Zen
dc.date.issued1975en
dc.description.abstractAn analysis is presented of the superharmonic, subharmonic, and combination resonances in a multi-degree-of-freedom system which has cubic nonlinearity and modal viscous damping and is subject to harmonic excitation. It is shown that in the absence of internal resonances, the steady-state response contains only the modes which are directly excited. It is shown that in the presence of internal resonances, modes other than those that are directly excited can appear in the response. The strong influence of internal resonances is exhibited in numerical examples involving hinged-clamped beams. It is shown that when a multimode solution exists the lowest mode can dominate the response, even when it is not directly excited.en
dc.description.sponsorshipLangley Research Center - Contract NAS1-10646-29en
dc.format.extent11 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationSridhar, S., Nayfeh, A. H. & Mook, D. T. (1975). Nonlinear resonances in a class of multi-degree-of-freedom systems. Journal of the Acoustical Society of America, 58(1), 113-123. doi: 10.1121/1.380639en
dc.identifier.doihttps://doi.org/10.1121/1.380639en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52722en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/58/1/10.1121/1.380639en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMaterials analysisen
dc.subjectViscosityen
dc.titleNonlinear resonances in a class of multi-degree-of-freedom systemsen
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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