Self-sustained oscillations with delayed velocity feedback

Autores
Zanette, Damian Horacio
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity.  Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity,  are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations.
Fil: Zanette, Damian Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; Argentina
Materia
SELF-SUSTAINED OSCILLATORS
NONLINEAR DYNAMiCS
DELAY DIFFERENTIAL EQUATIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/66236
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Self-sustained oscillations with delayed velocity feedbackZanette, Damian HoracioSELF-SUSTAINED OSCILLATORSNONLINEAR DYNAMiCSDELAY DIFFERENTIAL EQUATIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity.  Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity,  are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations.Fil: Zanette, Damian Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; ArgentinaInstituto de Física de Líquidos y Sistemas Biológicos2017-03-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66236Zanette, Damian Horacio; Self-sustained oscillations with delayed velocity feedback; Instituto de Física de Líquidos y Sistemas Biológicos; Papers in Physics; 9; 2017; 30-3-2017; 31-371852-4249CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4279/PIP.090003info:eu-repo/semantics/altIdentifier/url/https://www.papersinphysics.org/papersinphysics/article/view/380info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:03:01Zoai:ri.conicet.gov.ar:11336/66236instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:03:01.664CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Self-sustained oscillations with delayed velocity feedback
title Self-sustained oscillations with delayed velocity feedback
spellingShingle Self-sustained oscillations with delayed velocity feedback
Zanette, Damian Horacio
SELF-SUSTAINED OSCILLATORS
NONLINEAR DYNAMiCS
DELAY DIFFERENTIAL EQUATIONS
title_short Self-sustained oscillations with delayed velocity feedback
title_full Self-sustained oscillations with delayed velocity feedback
title_fullStr Self-sustained oscillations with delayed velocity feedback
title_full_unstemmed Self-sustained oscillations with delayed velocity feedback
title_sort Self-sustained oscillations with delayed velocity feedback
dc.creator.none.fl_str_mv Zanette, Damian Horacio
author Zanette, Damian Horacio
author_facet Zanette, Damian Horacio
author_role author
dc.subject.none.fl_str_mv SELF-SUSTAINED OSCILLATORS
NONLINEAR DYNAMiCS
DELAY DIFFERENTIAL EQUATIONS
topic SELF-SUSTAINED OSCILLATORS
NONLINEAR DYNAMiCS
DELAY DIFFERENTIAL EQUATIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity.  Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity,  are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations.
Fil: Zanette, Damian Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de Cuyo; Argentina
description We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanomechanical time-keeping devices, where periodic motion is sustained by a feedback force proportional to the oscillation velocity.  Specifically, we focus our attention on the effect of a time delay in the feedback loop, assumed to originate in the electric circuit that creates and injects the self-sustaining force. Stationary oscillating solutions to the equation of motion, whose stability is insured by the crucial role of nonlinearity,  are analytically obtained through suitable approximations. We show that a delay within the order of the oscillation period can suppress self-sustained oscillations. Numerical solutions are used to validate the analytical approximations.
publishDate 2017
dc.date.none.fl_str_mv 2017-03-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/66236
Zanette, Damian Horacio; Self-sustained oscillations with delayed velocity feedback; Instituto de Física de Líquidos y Sistemas Biológicos; Papers in Physics; 9; 2017; 30-3-2017; 31-37
1852-4249
CONICET Digital
CONICET
url http://hdl.handle.net/11336/66236
identifier_str_mv Zanette, Damian Horacio; Self-sustained oscillations with delayed velocity feedback; Instituto de Física de Líquidos y Sistemas Biológicos; Papers in Physics; 9; 2017; 30-3-2017; 31-37
1852-4249
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4279/PIP.090003
info:eu-repo/semantics/altIdentifier/url/https://www.papersinphysics.org/papersinphysics/article/view/380
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Instituto de Física de Líquidos y Sistemas Biológicos
publisher.none.fl_str_mv Instituto de Física de Líquidos y Sistemas Biológicos
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269779500466176
score 13.13397

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