Parameter Identification of Nonlinear Systems Using Perturbation Methods and Higher-Order Statistics

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dc.contributor.authorFung, Jimmy Jr.en
dc.contributor.committeechairHajj, Muhammad R.en
dc.contributor.committeememberMook, Dean T.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T20:52:13Zen
dc.date.adate1998-08-21en
dc.date.available2014-03-14T20:52:13Zen
dc.date.issued1998-08-03en
dc.date.rdate1999-08-21en
dc.date.sdate1998-08-03en
dc.description.abstractA parametric identification procedure is proposed that combines the method of multiple scales and higher-order statistics to efficiently and accurately model nonlinear systems. A theoretical background for the method of multiple scales and higher-order statistics is given. Validation of the procedure is performed through applying it to numerical simulations of two nonlinear systems. The results show how the procedure can successfully characterize the system damping and nonlinearities and determine the corresponding parameters. The procedure is then applied to experimental measurements from two structural systems, a cantilevered beam and a three-beam frame. The results show that quadratic damping should be accounted for in both systems. Moreover, for the three-beam frame, the parametric excitation is much more important than the direct excitation. To show the flexibility of the procedure, numerical simulations of ship motion under parametric excitation are used to determine nonlinear parameters govening the relation between pitch, heave, and roll motions. The results show a high level of agreement between the numerical simulation and the mathematical model with the identified parameters.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-72098-173139en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-72098-173139/en
dc.identifier.urihttp://hdl.handle.net/10919/36921en
dc.publisherVirginia Techen
dc.relation.haspartfung_etd.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectNonlinear systemsen
dc.subjectsystem identificationen
dc.subjectparametric identificationen
dc.subjecthigher-order statisticsen
dc.subjectbispectraen
dc.subjectperturbation methodsen
dc.subjectmethod of multiple scales.en
dc.titleParameter Identification of Nonlinear Systems Using Perturbation Methods and Higher-Order Statisticsen
dc.typeThesisen
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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