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dc.contributor.author
Zanette, Damian Horacio  
dc.date.available
2020-05-28T16:16:34Z  
dc.date.issued
2018-09  
dc.identifier.citation
Zanette, Damian Horacio; Energy exchange between coupled mechanical oscillators: linear regimes; IOP Publishing; Journal of Physics Communications; 2; 9; 9-2018; 1-13  
dc.identifier.issn
2399-6528  
dc.identifier.uri
http://hdl.handle.net/11336/106144  
dc.description.abstract
Nonlinear mechanisms are frequently invoked to explain unexpected observations during processes of energy exchange in mechanical systems. However, whether the same phenomena could be observed in a purely linear system is seldom considered. In this paper, we revisit the problem of two linearly coupled, damped, harmonic oscillators, with emphasis on the dynamics of their mutual exchange of energy. A novel criterion is established to discern between two well-differentiated regimes of energy exchange under ringdown conditions, when all external excitations are turned off and the oscillatorymotion is left to decay by dissipation. The two regimes are induced by different sets of initial conditions, and correspond to extremal values of the total net energy transferred during ringdown. Although the problem is in principle fully solvable, its algebraic involvedness requires in practice to resort to approximated expressions for oscillation frequencies and decay rates.Weexplicitly provide such approximations in the limit of high quality factors and weak coupling. This limit is relevant to current experiments on micro- and nanomechanical oscillators, whose physical behavior is usually explained by extensive allusion to energy exchange. Our results should help to discern between observations that are genuinely due to nonlinear effects, and those that can be explained in terms oflinear mechanisms only.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
IOP Publishing  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ENERGY EXCHANGE  
dc.subject
LINEAR OSCILLATORS  
dc.subject
RING-DOWN REGIME  
dc.subject
STATIONARY OSCILLATIONS  
dc.subject.classification
Otras Ciencias Físicas  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Energy exchange between coupled mechanical oscillators: linear regimes  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-15T17:57:25Z  
dc.journal.volume
2  
dc.journal.number
9  
dc.journal.pagination
1-13  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Londres  
dc.description.fil
Fil: Zanette, Damian Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina  
dc.journal.title
Journal of Physics Communications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/2399-6528/aadfc6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/2399-6528/aadfc6