Response of nonlinear structures to deterministic and random excitations

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dc.contributor.authorSerhan, Samir Jawdaten
dc.contributor.committeechairNayfeh, Ali H.en
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberSingh, Mahendra P.en
dc.contributor.committeememberClough, G. Wayneen
dc.contributor.committeememberKraige, Luther G.en
dc.contributor.committeememberBesieris, Ioannis M.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2015-07-10T20:00:02Zen
dc.date.available2015-07-10T20:00:02Zen
dc.date.issued1989en
dc.description.abstractThree methods are developed to study the response of nonlinear systems to combined deterministic and stochastic excitations. They are a second-order closure method, a generalized method of equivalent linearization, and a reduced non-Gaussian closure scheme. Primary resonances of single- and two-degree-of-freedom systems in the presence of different internal (autoparametric) resonances are investigated. We propose these methods to overcome some of the limitations of the existing methods of solution and explain some observed experimental results in the context of the response of randomly excited nonlinear systems. These include non-Gaussian responses, broadening effects, and shift in the resonant frequency. When available, the results of these methods are compared with those obtained by using the exact stationary solutions of the Fokker-Planck-Kolmogorov equation. It is found that the presence of the nonlinearities bend the frequency-response curves and this causes multi-valued regions for the mean-square responses. The multi-valuedness is responsible for a jump phenomenon. The results show that for some range of parameters, noise can expand the stability region of the mean response. As applications, we study the response of a shallow arch, a string, and a hinged-clamped beam to random excitations.en
dc.description.degreePh. D.en
dc.format.extentviii, 208 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/54414en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 20623092en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1989.S475en
dc.subject.lcshNonlinear theories -- Researchen
dc.subject.lcshStochastic processesen
dc.titleResponse of nonlinear structures to deterministic and random excitationsen
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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