Examples of Physical Systems Described by the Duffing Equation

Detalhes bibliográficos
Autor(a) principal: Brennan, Michael J. [UNESP]
Data de Publicação: 2011
Outros Autores: Kovacic, Ivana
Tipo de documento: Capítulo de livro
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1002/9780470977859.ch2
http://hdl.handle.net/11449/219944
Resumo: In this chapter several examples of physical systems whose dynamic behaviour can be approximated by several forms of the Duffing equation are given. The physical systems are chosen to illustrate the physical phenomena that result in different forms of this equation related to several types of geometric nonlinearity: hardening, softening, positive linear-negative cubic nonlinearity and pure nonlinearity. The equations of motion are derived and are then non-dimensionalised. The equations that describe these systems are subsequently investigated in more detail in later chapters. © 2011 John Wiley & Sons, Ltd. All rights reserved.
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spelling Examples of Physical Systems Described by the Duffing EquationAsymmetryBeamsCablesDuffing; pendulumIn-plane tensionNonlinear stiffnessIn this chapter several examples of physical systems whose dynamic behaviour can be approximated by several forms of the Duffing equation are given. The physical systems are chosen to illustrate the physical phenomena that result in different forms of this equation related to several types of geometric nonlinearity: hardening, softening, positive linear-negative cubic nonlinearity and pure nonlinearity. The equations of motion are derived and are then non-dimensionalised. The equations that describe these systems are subsequently investigated in more detail in later chapters. © 2011 John Wiley & Sons, Ltd. All rights reserved.University of Southampton Institute of Sound and Vibration ResearchUniversity of Novi Sad Faculty of Technical SciencesUNESP, Ilha SolteiraUNESP, Ilha SolteiraInstitute of Sound and Vibration ResearchFaculty of Technical SciencesUniversidade Estadual Paulista (UNESP)Brennan, Michael J. [UNESP]Kovacic, Ivana2022-04-28T18:58:35Z2022-04-28T18:58:35Z2011-03-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart25-53http://dx.doi.org/10.1002/9780470977859.ch2The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 25-53.http://hdl.handle.net/11449/21994410.1002/9780470977859.ch22-s2.0-84886031214Scopusreponame: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:11449/219944Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T18:58:35Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Examples of Physical Systems Described by the Duffing Equation
title Examples of Physical Systems Described by the Duffing Equation
spellingShingle Examples of Physical Systems Described by the Duffing Equation
Brennan, Michael J. [UNESP]
Asymmetry
Beams
Cables
Duffing; pendulum
In-plane tension
Nonlinear stiffness
title_short Examples of Physical Systems Described by the Duffing Equation
title_full Examples of Physical Systems Described by the Duffing Equation
title_fullStr Examples of Physical Systems Described by the Duffing Equation
title_full_unstemmed Examples of Physical Systems Described by the Duffing Equation
title_sort Examples of Physical Systems Described by the Duffing Equation
author Brennan, Michael J. [UNESP]
author_facet Brennan, Michael J. [UNESP]
Kovacic, Ivana
author_role author
author2 Kovacic, Ivana
author2_role author
dc.contributor.none.fl_str_mv Institute of Sound and Vibration Research
Faculty of Technical Sciences
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Brennan, Michael J. [UNESP]
Kovacic, Ivana
dc.subject.por.fl_str_mv Asymmetry
Beams
Cables
Duffing; pendulum
In-plane tension
Nonlinear stiffness
topic Asymmetry
Beams
Cables
Duffing; pendulum
In-plane tension
Nonlinear stiffness
description In this chapter several examples of physical systems whose dynamic behaviour can be approximated by several forms of the Duffing equation are given. The physical systems are chosen to illustrate the physical phenomena that result in different forms of this equation related to several types of geometric nonlinearity: hardening, softening, positive linear-negative cubic nonlinearity and pure nonlinearity. The equations of motion are derived and are then non-dimensionalised. The equations that describe these systems are subsequently investigated in more detail in later chapters. © 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.ch2
The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 25-53.
http://hdl.handle.net/11449/219944
10.1002/9780470977859.ch2
2-s2.0-84886031214
url http://dx.doi.org/10.1002/9780470977859.ch2
http://hdl.handle.net/11449/219944
identifier_str_mv The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 25-53.
10.1002/9780470977859.ch2
2-s2.0-84886031214
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 25-53
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_ 1799964670495293440

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