Period-one rotating solution of parametric pendulums by iterative harmonic balance

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dc.contributor.authorZhang, Hui
dc.date.accessioned2016-02-19T22:12:29Z
dc.date.available2016-02-19T22:12:29Z
dc.date.issued2012-05
dc.descriptionM.S. University of Hawaii at Manoa 2012.
dc.descriptionIncludes bibliographical references.
dc.description.abstractIn this study, an iterative method based on harmonic balance for the period-one rotation of parametrically excited pendulum is proposed. Based on the characteristics of the period-one rotating orbit, the exact form of the solution is represented using the Fourier series. An iterative harmonic balance process is proposed to estimate the coefficients in the exact solution form. The general formula for each iteration step is presented. The bounds of excitations required for period-one rotations and the convergence of the method are investigated. The method is evaluated using two performance indexes, i.e. system energy error and global residual error. The performance of the proposed method is compared with the existing perturbation method. The numerical results obtained from MATLABĀ© are used as the baseline of the evaluation.
dc.identifier.urihttp://hdl.handle.net/10125/101326
dc.language.isoeng
dc.publisher[Honolulu] : [University of Hawaii at Manoa], [May 2012]
dc.relationTheses for the degree of Master of Science (University of Hawaii at Manoa). Civil Engineering.
dc.subjectIterative method
dc.subjectHarmonic balance
dc.subjectPeriod-one rotations
dc.subjectParametric pendulum
dc.titlePeriod-one rotating solution of parametric pendulums by iterative harmonic balance
dc.typeThesis
dc.type.dcmiText

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