A theoretical and experimental study of modal interactions in resonantly forced structures

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dc.contributor.authorBalachandran, Balakumaren
dc.contributor.committeechairNayfeh, Ali H.en
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberReddy, Junuthula N.en
dc.contributor.committeememberHendricks, Scott L.en
dc.contributor.committeememberKapania, Rakesh K.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:18:58Zen
dc.date.adate2005-09-16en
dc.date.available2014-03-14T21:18:58Zen
dc.date.issued1990-10-06en
dc.date.rdate2005-09-16en
dc.date.sdate2005-09-16en
dc.description.abstractThe influence of modal interactions on the response of harmonically excited flexible L-shaped metallic and composite structures has been investigated analytically and experimentally. Each metallic structure possesses a two-to-one internal resonance, while each composite structure possesses a three-to-one internal resonance and either a two-to-one or a one-to-·one internal resonance. For the metallic structures, a weakly nonlinear analysis is used to derive the autonomous system of equations which describe the evolution of the amplitudes and phases of the internally resonant modes. These equations are obtained for primary- and secondary-resonant excitations. The excitation frequency or amplitude is used as a control parameter and the resulting bifurcations (saddle-node, pitchfork, and Hopf bifurcations) are studied. Theoretical analyses for internally resonant systems are used to predict and explain the responses of the composite structures.en
dc.description.degreePh. D.en
dc.format.extentx, 298 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-09162005-115031en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09162005-115031/en
dc.identifier.urihttp://hdl.handle.net/10919/39374en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.B363.pdfen
dc.relation.isformatofOCLC# 23674053en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.B363en
dc.subject.lcshMetals -- Surfacesen
dc.subject.lcshResonanceen
dc.titleA theoretical and experimental study of modal interactions in resonantly forced structuresen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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