Motion confinement in a linear chain of coupled oscillators with a strongly nonlinear end attachment

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

dc.contributor.author	Manevitch, L	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	2014-03-01T02:49:26Z
dc.date.available	2014-03-01T02:49:26Z
dc.date.issued	2003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34601
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-1842633108&partnerID=40&md5=80a7bb39a7f43c3c96e39c59895ff215	en
dc.subject.other	Motion confinement	en
dc.subject.other	Nonlinear oscillators	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Magnetooptical devices	en
dc.subject.other	Motion control	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Semiconductor superlattices	en
dc.subject.other	Waveguides	en
dc.subject.other	Oscillators (electronic)	en
dc.title	Motion confinement in a linear chain of coupled oscillators with a strongly nonlinear end attachment	en
heal.type	conferenceItem	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. 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.	en
heal.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	5 C	en
dc.identifier.spage	2369	en
dc.identifier.epage	2374	en