Forced Harmonic Vibration of an Asymmetric Duffing Oscillator
Autor(a) principal: | |
---|---|
Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Capítulo de livro |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1002/9780470977859.ch8 http://hdl.handle.net/11449/219947 |
Resumo: | Two nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a single-well potential. The equations of motion can be written in such a way that they include a quadratic and cubic nonlinearity, and only a harmonic forcing term. Different analytical and numerical approaches are used to study and illustrate the rich dynamics of the systems. © 2011 John Wiley & Sons, Ltd. All rights reserved. |
id |
UNSP_f4b1384f509c532b1a4264c441bbadea |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/219947 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Forced Harmonic Vibration of an Asymmetric Duffing OscillatorAsymmetryChaosHysteresisPeriod-doubling bifurcationSaddle-node bifurcationSingle-well potentialTwo nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a single-well potential. The equations of motion can be written in such a way that they include a quadratic and cubic nonlinearity, and only a harmonic forcing term. Different analytical and numerical approaches are used to study and illustrate the rich dynamics of the systems. © 2011 John Wiley & Sons, Ltd. All rights reserved.University of Novi Sad Faculty of Technical SciencesUniversity of Southampton Institute of Sound and Vibration ResearchUNESP, Ilha SolteiraUNESP, Ilha SolteiraFaculty of Technical SciencesInstitute of Sound and Vibration ResearchUniversidade Estadual Paulista (UNESP)Kovacic, IvanaBrennan, Michael J. [UNESP]2022-04-28T18:58:35Z2022-04-28T18:58:35Z2011-03-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart277-322http://dx.doi.org/10.1002/9780470977859.ch8The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 277-322.http://hdl.handle.net/11449/21994710.1002/9780470977859.ch82-s2.0-84886061506Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengThe Duffing Equation: Nonlinear Oscillators and their Behaviourinfo:eu-repo/semantics/openAccess2022-04-28T18:58:35Zoai:repositorio.unesp.br:11449/219947Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:09:41.476611Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
title |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
spellingShingle |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator Kovacic, Ivana Asymmetry Chaos Hysteresis Period-doubling bifurcation Saddle-node bifurcation Single-well potential |
title_short |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
title_full |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
title_fullStr |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
title_full_unstemmed |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
title_sort |
Forced Harmonic Vibration of an Asymmetric Duffing Oscillator |
author |
Kovacic, Ivana |
author_facet |
Kovacic, Ivana Brennan, Michael J. [UNESP] |
author_role |
author |
author2 |
Brennan, Michael J. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Faculty of Technical Sciences Institute of Sound and Vibration Research Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Kovacic, Ivana Brennan, Michael J. [UNESP] |
dc.subject.por.fl_str_mv |
Asymmetry Chaos Hysteresis Period-doubling bifurcation Saddle-node bifurcation Single-well potential |
topic |
Asymmetry Chaos Hysteresis Period-doubling bifurcation Saddle-node bifurcation Single-well potential |
description |
Two nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a single-well potential. The equations of motion can be written in such a way that they include a quadratic and cubic nonlinearity, and only a harmonic forcing term. Different analytical and numerical approaches are used to study and illustrate the rich dynamics of the systems. © 2011 John Wiley & Sons, Ltd. All rights reserved. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-03-03 2022-04-28T18:58:35Z 2022-04-28T18:58:35Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/bookPart |
format |
bookPart |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1002/9780470977859.ch8 The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 277-322. http://hdl.handle.net/11449/219947 10.1002/9780470977859.ch8 2-s2.0-84886061506 |
url |
http://dx.doi.org/10.1002/9780470977859.ch8 http://hdl.handle.net/11449/219947 |
identifier_str_mv |
The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 277-322. 10.1002/9780470977859.ch8 2-s2.0-84886061506 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
The Duffing Equation: Nonlinear Oscillators and their Behaviour |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
277-322 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129028088922112 |