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dc.contributor.author
Zanette, Damian Horacio
dc.date.available
2020-02-12T17:55:10Z
dc.date.issued
2018-05
dc.identifier.citation
Zanette, Damian Horacio; Stability of two-mode internal resonance in a nonlinear oscillator; Springer; European Physical Journal B - Condensed Matter; 91; 5; 5-2018
dc.identifier.issn
1434-6028
dc.identifier.uri
http://hdl.handle.net/11336/97283
dc.description.abstract
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing two interacting oscillation modes in a nonlinear vibrating beam. The main oscillation mode is governed by the forced Duffing equation, while the other mode is linear. By means of the multiple-scale approach, the system is studied in two situations: an open-loop configuration, where the excitation is an external force, and a closed-loop configuration, where the system is fed back with an excitation obtained from the oscillation itself. The latter is relevant to the functioning of time-keeping micromechanical devices. While the accessible amplitudes and frequencies of stationary oscillations are identical in the two situations, their stability properties are substantially different. Emphasis is put on resonant oscillations, where energy transfer between the two coupled modes is maximized and, consequently, the strong interdependence between frequency and amplitude caused by nonlinearity is largely suppressed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
SYNCHRONIZATION
dc.subject
MECHANICAL OSCILLATORS
dc.subject
INTERNAL RESONANCE
dc.subject
DUFFING OSCILLATOR
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Stability of two-mode internal resonance in a nonlinear oscillator
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-15T17:30:57Z
dc.identifier.eissn
1434-6036
dc.journal.volume
91
dc.journal.number
5
dc.journal.pais
Alemania
dc.description.fil
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
European Physical Journal B - Condensed Matter
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2018-90030-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1140/epjb/e2018-90030-0
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