Examples of Physical Systems Described by the Duffing Equation

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dc.contributor.authorBrennan, Michael J. [UNESP]
dc.contributor.authorKovacic, Ivana
dc.contributor.institutionInstitute of Sound and Vibration Research
dc.contributor.institutionFaculty of Technical Sciences
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-28T18:58:35Z
dc.date.available2022-04-28T18:58:35Z
dc.date.issued2011-03-03
dc.description.abstractIn 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.en
dc.description.affiliationUniversity of Southampton Institute of Sound and Vibration Research
dc.description.affiliationUniversity of Novi Sad Faculty of Technical Sciences
dc.description.affiliationUNESP, Ilha Solteira
dc.description.affiliationUnespUNESP, Ilha Solteira
dc.format.extent25-53
dc.identifierhttp://dx.doi.org/10.1002/9780470977859.ch2
dc.identifier.citationThe Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 25-53.
dc.identifier.doi10.1002/9780470977859.ch2
dc.identifier.scopus2-s2.0-84886031214
dc.identifier.urihttp://hdl.handle.net/11449/219944
dc.language.isoeng
dc.relation.ispartofThe Duffing Equation: Nonlinear Oscillators and their Behaviour
dc.sourceScopus
dc.subjectAsymmetry
dc.subjectBeams
dc.subjectCables
dc.subjectDuffing; pendulum
dc.subjectIn-plane tension
dc.subjectNonlinear stiffness
dc.titleExamples of Physical Systems Described by the Duffing Equationen
dc.typeCapítulo de livro

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