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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/223055
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:41:13Zoai: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:34982025-09-29 10:41:13.569CONICET 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) |
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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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1844614442258530304 |
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13.070432 |