Semi-analytical method to study piecewise linear oscillators

Autores
Hernández Rocha, Agustín; Zanette, Damian Horacio; Wiercigroch, Marian
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This article proposes a semi-analytical method to investigate the dynamics and bifurcation scenarios of piecewise linear oscillators. The method is based on a mapping technique with a matrix structure that allows easy and rapid construction of any periodic orbit. When validated against direct numerical integration simulations, a good correlation and an accurate prediction of bifurcation phenomena were shown. The method is applied to analyse the nonlinear dynamic responses and bifurcations scenarios causes by changes of stiffness and viscous damping. A set of minimum conditions that the system must meet to present period doubling bifurcations and sub-harmonic orbits was given.
Fil: Hernández Rocha, Agustín. Comisión Nacional de Energía Atómica; Argentina
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Wiercigroch, Marian. University of Aberdeen; Reino Unido
Materia
NONLINEAR DYNAMICS ANALYSIS
NUMERICAL SIMULATION
PIECEWISE LINEAR OSCILLATOR
SEMI-ANALYTICAL SOLUTION
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:11336/223055
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Semi-analytical method to study piecewise linear oscillatorsHernández Rocha, AgustínZanette, Damian HoracioWiercigroch, MarianNONLINEAR DYNAMICS ANALYSISNUMERICAL SIMULATIONPIECEWISE LINEAR OSCILLATORSEMI-ANALYTICAL SOLUTIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1This article proposes a semi-analytical method to investigate the dynamics and bifurcation scenarios of piecewise linear oscillators. The method is based on a mapping technique with a matrix structure that allows easy and rapid construction of any periodic orbit. When validated against direct numerical integration simulations, a good correlation and an accurate prediction of bifurcation phenomena were shown. The method is applied to analyse the nonlinear dynamic responses and bifurcations scenarios causes by changes of stiffness and viscous damping. A set of minimum conditions that the system must meet to present period doubling bifurcations and sub-harmonic orbits was given.Fil: Hernández Rocha, Agustín. Comisión Nacional de Energía Atómica; ArgentinaFil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Wiercigroch, Marian. University of Aberdeen; Reino UnidoElsevier Science2023-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/223055Hernández Rocha, Agustín; Zanette, Damian Horacio; Wiercigroch, Marian; Semi-analytical method to study piecewise linear oscillators; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 121; 107193; 2-2023; 1-201007-5704CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S1007570423001119info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2023.107193info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:39:05Zoai:ri.conicet.gov.ar:11336/223055instacron: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:34982025-10-15 15:39:05.466CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Semi-analytical method to study piecewise linear oscillators
title Semi-analytical method to study piecewise linear oscillators
spellingShingle Semi-analytical method to study piecewise linear oscillators
Hernández Rocha, Agustín
NONLINEAR DYNAMICS ANALYSIS
NUMERICAL SIMULATION
PIECEWISE LINEAR OSCILLATOR
SEMI-ANALYTICAL SOLUTION
title_short Semi-analytical method to study piecewise linear oscillators
title_full Semi-analytical method to study piecewise linear oscillators
title_fullStr Semi-analytical method to study piecewise linear oscillators
title_full_unstemmed Semi-analytical method to study piecewise linear oscillators
title_sort Semi-analytical method to study piecewise linear oscillators
dc.creator.none.fl_str_mv Hernández Rocha, Agustín
Zanette, Damian Horacio
Wiercigroch, Marian
author Hernández Rocha, Agustín
author_facet Hernández Rocha, Agustín
Zanette, Damian Horacio
Wiercigroch, Marian
author_role author
author2 Zanette, Damian Horacio
Wiercigroch, Marian
author2_role author
author
dc.subject.none.fl_str_mv NONLINEAR DYNAMICS ANALYSIS
NUMERICAL SIMULATION
PIECEWISE LINEAR OSCILLATOR
SEMI-ANALYTICAL SOLUTION
topic NONLINEAR DYNAMICS ANALYSIS
NUMERICAL SIMULATION
PIECEWISE LINEAR OSCILLATOR
SEMI-ANALYTICAL SOLUTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This article proposes a semi-analytical method to investigate the dynamics and bifurcation scenarios of piecewise linear oscillators. The method is based on a mapping technique with a matrix structure that allows easy and rapid construction of any periodic orbit. When validated against direct numerical integration simulations, a good correlation and an accurate prediction of bifurcation phenomena were shown. The method is applied to analyse the nonlinear dynamic responses and bifurcations scenarios causes by changes of stiffness and viscous damping. A set of minimum conditions that the system must meet to present period doubling bifurcations and sub-harmonic orbits was given.
Fil: Hernández Rocha, Agustín. Comisión Nacional de Energía Atómica; Argentina
Fil: Zanette, Damian Horacio. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Wiercigroch, Marian. University of Aberdeen; Reino Unido
description This article proposes a semi-analytical method to investigate the dynamics and bifurcation scenarios of piecewise linear oscillators. The method is based on a mapping technique with a matrix structure that allows easy and rapid construction of any periodic orbit. When validated against direct numerical integration simulations, a good correlation and an accurate prediction of bifurcation phenomena were shown. The method is applied to analyse the nonlinear dynamic responses and bifurcations scenarios causes by changes of stiffness and viscous damping. A set of minimum conditions that the system must meet to present period doubling bifurcations and sub-harmonic orbits was given.
publishDate 2023
dc.date.none.fl_str_mv 2023-02
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/11336/223055
Hernández Rocha, Agustín; Zanette, Damian Horacio; Wiercigroch, Marian; Semi-analytical method to study piecewise linear oscillators; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 121; 107193; 2-2023; 1-20
1007-5704
CONICET Digital
CONICET
url http://hdl.handle.net/11336/223055
identifier_str_mv Hernández Rocha, Agustín; Zanette, Damian Horacio; Wiercigroch, Marian; Semi-analytical method to study piecewise linear oscillators; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 121; 107193; 2-2023; 1-20
1007-5704
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S1007570423001119
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2023.107193
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
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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
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score 13.22299

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