Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity

Kerschen, G; Gendelman, O; Vakakis, AF; Bergman, LA; McFarland, DM

dc.contributor.author	Kerschen, G	en
dc.contributor.author	Gendelman, O	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Bergman, LA	en
dc.contributor.author	McFarland, DM	en
dc.date.accessioned	2014-03-01T01:28:40Z
dc.date.available	2014-03-01T01:28:40Z
dc.date.issued	2008	en
dc.identifier.issn	1007-5704	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18908
dc.subject	Coupled oscillators	en
dc.subject	Impulsive responses	en
dc.subject	Targeted energy transfer	en
dc.subject.classification	Literature, British Isles	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Damping	en
dc.subject.other	Dynamics	en
dc.subject.other	Energy transfer	en
dc.subject.other	Stiffness	en
dc.subject.other	Coupled oscillator	en
dc.subject.other	Impulsive response	en
dc.subject.other	Oscillators (mechanical)	en
dc.subject.other	Damping	en
dc.subject.other	Dynamics	en
dc.subject.other	Energy transfer	en
dc.subject.other	Oscillators (mechanical)	en
dc.subject.other	Stiffness	en
dc.title	Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cnsns.2006.08.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cnsns.2006.08.001	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We study the impulsive responses of a grounded linear oscillator coupled to a light nonlinear attachment through an essentially nonlinear (nonlinearizable) stiffness. We analyze the periodic and quasi-periodic dynamics of the undamped system forced by a single impulse on the linear oscillator and being initially at rest, by considering separately low-, moderate- and high-energy impulsive motions. The motivation for studying the impulsive dynamics of this system centers on passive targeted energy transfer properties of the corresponding weakly damped one, that is, of the possibility of one-way, irreversible transfer of energy from the linear oscillator to the nonlinear attachment. A rather surprising aspect of this work is the complexity of the analysis required to study the impulsive dynamics of this system, due to its high degeneracy, as it undergoes a co-dimension three bifurcation. (C) 2006 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Communications in Nonlinear Science and Numerical Simulation	en
dc.identifier.doi	10.1016/j.cnsns.2006.08.001	en
dc.identifier.isi	ISI:000254602200010	en
dc.identifier.volume	13	en
dc.identifier.issue	5	en
dc.identifier.spage	959	en
dc.identifier.epage	978	en