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dc.contributor.authorGentry, Jeanette J.en_US

A second-order system of differential equations containing a multifrequency parametric excitation and weak quadratic and cubic nonlinearities is investigated. The method of multiple scales is used to carry out a general analysis, and three resonance conditions are considered in detail. First, the case in which the sum of two excitation frequencies is near two times a natural frequency, λs + λt ~q, is examined. Second, the influence of an internal resonance, Ï q~3Ï r, on the previous case is studied. Finally, the effect of the internal resonance wr~3wq on the resonance λs + λt ~q is investigated. Results are presented as plots of response amplitudes as functions of a detuning parameter, excitation amplitude, and, for the first case, a measure of the relative values of λs + λt.

dc.publisherVirginia Techen_US
dc.subjectStructural dynamicsen_US
dc.subject.lccLD5655.V855 1988.G467en_US
dc.titleNonlinear oscillations under multifrequency parametric excitationen_US
dc.contributor.departmentEngineering Mechanicsen_US
dc.description.degreeMaster of Scienceen_US of Scienceen_US Polytechnic Institute and State Universityen_US Mechanicsen_US
dc.contributor.committeememberNayfeh, Ali H.en_US
dc.contributor.committeecochairMook, Dean T.en_US
dc.contributor.committeecochairPlaut, Raymond H.en_US

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