Examples of Physical Systems Described by the Duffing Equation
Autor(a) principal: | |
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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.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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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:29462024-08-05T15:44:46.056235Repositório 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_ |
1808128556188827648 |