Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment

Manevitch, LI; Gendelman, O; Musienko, AI; Vakakis, AF; Bergman, L

dc.contributor.author	Manevitch, LI	en
dc.contributor.author	Gendelman, O	en
dc.contributor.author	Musienko, AI	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Bergman, L	en
dc.date.accessioned	2014-03-01T01:18:54Z
dc.date.available	2014-03-01T01:18:54Z
dc.date.issued	2003	en
dc.identifier.issn	0167-2789	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15253
dc.subject	Asymptotic methods	en
dc.subject	Nonlinear energy pumping	en
dc.subject	Nonlinear localization	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Computer simulation	en
dc.subject.other	Energy transfer	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Wave propagation	en
dc.subject.other	Energy pumping	en
dc.subject.other	Standing waves	en
dc.subject.other	Oscillators (mechanical)	en
dc.title	Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0167-2789(02)00806-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0167-2789(02)00806-0	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	We study the dynamics of a semi-infinite linear chain of particles that is weakly coupled to a strongly nonlinear oscillator at its free end. We analyze families of localized standing waves situated inside the lower or upper attenuation zones of the linear chain, corresponding to energy predominantly confined in the nonlinear oscillator. These families of standing waves are generated due to resonant interactions between the chain and the nonlinear attachment. In addition, we estimate the energy radiated from the nonlinear oscillator back to the chain, when the oscillator is excited under nonresonant conditions by wavepackets with dominant frequencies inside the propagation zone of the chain. We conclude that the system is capable of energy pumping, i.e., of one-way, irreversible energy transfer from the semi-infinite chain to the nonlinear oscillator. Such energy transfer closely depends on the excitation by the external forcing of a localized standing wave of the type studied in this work. A scenario for the realization of energy pumping phenomena in the system under consideration is discussed, and is confirmed by direct numerical simulations of the chain-attachment dynamic interaction. (C) 2003 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Physica D: Nonlinear Phenomena	en
dc.identifier.doi	10.1016/S0167-2789(02)00806-0	en
dc.identifier.isi	ISI:000181756300001	en
dc.identifier.volume	178	en
dc.identifier.issue	1-2	en
dc.identifier.spage	1	en
dc.identifier.epage	18	en