Nonlinear oscillations of self-excited systems under multifrequency parametric excitation

dc.contributor.authorLimam, Wafaen
dc.contributor.departmentCivil Engineeringen
dc.date.accessioned2014-03-14T21:41:10Zen
dc.date.adate2012-07-24en
dc.date.available2014-03-14T21:41:10Zen
dc.date.issued1989en
dc.date.rdate2012-07-24en
dc.date.sdate2012-07-24en
dc.description.abstractA self·excited system with weak nonlinearities and multifrequency parametric excitation is investigated in this study. The method of multiple scales is used to analyze the system under four different resonances relating parametric excitation frequencies with the natural frequencies. In the first case, the parametric excitation frequency is approximately equal to twice the natural frequency, λ≃2ω. In the second case, the parametric excitation frequency is approximately equal to the natural frequency, λ≃ω. The third case treats a system with two parametric excitation frequencies under the condition λ₁±λ₂≃2ω. In the last case, a two-degree-of-freedom system with natural frequencies ω, and ω, is considered and the resonance λ₁+ λ₂≃ω<sub>r</sub>- ω<sub>q</sub> , is analyzed. Different parameters (the 1' load amplitudes, a detuning parameter, and a system stiffness parameter) are varied in each case and the responses obtained are presented in plots. The stability of the solutions is affected by all the parameters mentioned, especially the load amplitudes and the detuning parameter.en
dc.description.degreeMaster of Scienceen
dc.format.extentvii, 83 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-07242012-040158en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07242012-040158/en
dc.identifier.urihttp://hdl.handle.net/10919/43905en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1989.L553.pdfen
dc.relation.isformatofOCLC# 20590704en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1989.L553en
dc.subject.lcshSelf-induced vibration -- Researchen
dc.titleNonlinear oscillations of self-excited systems under multifrequency parametric excitationen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineCivil Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen
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