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Deterministic and stochastic responses of nonlinear systems

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dc.contributor.authorAbou-Rayan, Ashraf M.en
dc.contributor.committeechairNayfeh, Ali H.en
dc.contributor.committeememberBesieris, Ioannis M.en
dc.contributor.committeememberHeller, Robert A.en
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberSingh, Mahendra P.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:21:08Zen
dc.date.adate2005-10-13en
dc.date.available2014-03-14T21:21:08Zen
dc.date.issued1991-12-03en
dc.date.rdate2005-10-13en
dc.date.sdate2005-10-13en
dc.description.abstractThis dissertation is concerned with the responses of nonlinear systems to both deterministic and stochastic excitations. For a single-degree-of-freedom system, the response of a simply-supported buckled beam to parametric excitations is investigated. Two types of excitations are examined: deterministic and random. For the nonlinear response to a harmonic axial load, the method of multiple scales is used to determine to second order the amplitude-and phase-modulation equations. Floquet theory is used to analyze the stability of periodic responses. The perturbation results are verified by integrating the governing equation using both digital and analog computers. For small excitation amplitudes, the analytical results are in good agreement with the numerical solutions. The large-amplitude responses are investigated by using simulations on a digital computer and are compared with results obtained using an analog computer. For the stochastic response to a wide-band random excitation, the Gaussian and non-Gaussian closure schemes are used to determine the response statistics. The results are compared with those obtained from real-time analysis (analog-computer simulation). The normality assumption is examined. A comparison between the responses to deterministic and random excitations is presented.en
dc.description.degreePh. D.en
dc.format.extentx, 191 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10132005-152546en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152546/en
dc.identifier.urihttp://hdl.handle.net/10919/39838en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1991.A268.pdfen
dc.relation.isformatofOCLC# 26091163en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1991.A268en
dc.subject.lcshNonlinear oscillatorsen
dc.subject.lcshRandom vibrationen
dc.subject.lcshResonant vibrationen
dc.titleDeterministic and stochastic responses of nonlinear systemsen
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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