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Some results on the dynamics of the linear parametric oscillator with general time-varying frequency

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dc.contributor.author Kourdis, PD en
dc.contributor.author Vakakis, AF en
dc.date.accessioned 2014-03-01T01:25:11Z
dc.date.available 2014-03-01T01:25:11Z
dc.date.issued 2006 en
dc.identifier.issn 0096-3003 en
dc.identifier.uri http://hdl.handle.net/123456789/17579
dc.subject Non-periodic parametric excitation en
dc.subject Stability en
dc.subject.classification Mathematics, Applied en
dc.subject.other Computational complexity en
dc.subject.other Degrees of freedom (mechanics) en
dc.subject.other Perturbation techniques en
dc.subject.other General time-varying frequency en
dc.subject.other Non-periodic parametric excitation en
dc.subject.other Parameter estimation en
dc.title Some results on the dynamics of the linear parametric oscillator with general time-varying frequency en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.amc.2006.06.049 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.amc.2006.06.049 en
heal.language English en
heal.publicationDate 2006 en
heal.abstract The dynamics of single-degree-of-freedom linear oscillators under parametric excitation of general type (periodic or non-periodic) is considered. An analytical approach based on complexification and amplitude-phase decomposition of the response is developed leading to an (exact) set of first-order ordinary differential equations governing the amplitude and phase of the motion. Perturbation schemes for solving this set are developed and the solutions of the derived modulation equation are outlined. In addition, some results and comments on the stability of the derived solutions are provided. (c) 2006 Elsevier Inc. All rights reserved. en
heal.publisher ELSEVIER SCIENCE INC en
heal.journalName Applied Mathematics and Computation en
dc.identifier.doi 10.1016/j.amc.2006.06.049 en
dc.identifier.isi ISI:000244051100054 en
dc.identifier.volume 183 en
dc.identifier.issue 2 en
dc.identifier.spage 1235 en
dc.identifier.epage 1248 en


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