Parameter Estimation of Structural Systems Possessing One or Two Nonlinear Normal Modes

dc.contributor.authorFahey, Sean O'Flahertyen
dc.contributor.committeechairNayfeh, Alien
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T20:18:01Zen
dc.date.adate2000-11-07en
dc.date.available2014-03-14T20:18:01Zen
dc.date.issued2000-10-30en
dc.date.rdate2001-11-07en
dc.date.sdate2000-11-06en
dc.description.abstractIn this Dissertation, we develop, and provide proof of principle for, parameter identification techniques for structural systems that can be described in terms of one or two nonlinear normal modes. We model the dynamics of these modes by second-order ordinary-differential equations based on the principles of mechanics, past experience, and engineering judgment. We perform a number of separate experiments on a two-mass structure using several different types of excitation. For the linear tests, the theoretical system response is known in closed-form. For the nonlinear test, we use the method of multiple scales to determine second-order uniform expansions of the model equations and hence determine the approximations to responses of the structure. Then, we estimate the linear and nonlinear parameters by regressive fits between the theoretically and experimentally obtained response relations. We report deviations and agreements between model and experiment.en
dc.description.degreePh. D.en
dc.identifier.otheretd-11062000-19060022en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11062000-19060022/en
dc.identifier.urihttp://hdl.handle.net/10919/29477en
dc.publisherVirginia Techen
dc.relation.haspartfahey.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectsignal processingen
dc.subjectline spectrumen
dc.subjectsystem identificationen
dc.subjectmodal analysisen
dc.subjectNonlinear dynamicsen
dc.subjectbuilding dynamicsen
dc.subjectvibrationen
dc.subjectstructural dynamicsen
dc.titleParameter Estimation of Structural Systems Possessing One or Two Nonlinear Normal Modesen
dc.typeDissertationen
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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