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

Kourdis, PD; Vakakis, AF

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	https://dspace.lib.ntua.gr/xmlui/handle/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