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    Analytical Solutions for Stable and Unstable Period 1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity

    Source: Journal of Vibration and Acoustics:;2013:;volume( 135 ):;issue: 003::page 34503
    Author:
    Luo, Albert C. J.
    ,
    Yu, Bo
    DOI: 10.1115/1.4023834
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this note, a closedform solution of periodic motions in a periodically forced oscillator with quadratic nonlinearity is presented without any small parameters. The perturbation method is based on one harmonic term plus perturbation modification, and the traditional harmonic balance is to arbitrarily select harmonic terms with constant coefficients. If harmonic terms are not enough included in the approximate solution, such a solution is not an appropriate, analytical solution for periodic motions, and some analytical solutions cannot be caught.
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      Analytical Solutions for Stable and Unstable Period 1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity

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    http://yetl.yabesh.ir/yetl1/handle/yetl/153596
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    contributor authorLuo, Albert C. J.
    contributor authorYu, Bo
    date accessioned2017-05-09T01:04:12Z
    date available2017-05-09T01:04:12Z
    date issued2013
    identifier issn1048-9002
    identifier othervib_135_3_034503.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153596
    description abstractIn this note, a closedform solution of periodic motions in a periodically forced oscillator with quadratic nonlinearity is presented without any small parameters. The perturbation method is based on one harmonic term plus perturbation modification, and the traditional harmonic balance is to arbitrarily select harmonic terms with constant coefficients. If harmonic terms are not enough included in the approximate solution, such a solution is not an appropriate, analytical solution for periodic motions, and some analytical solutions cannot be caught.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical Solutions for Stable and Unstable Period 1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity
    typeJournal Paper
    journal volume135
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4023834
    journal fristpage34503
    journal lastpage34503
    identifier eissn1528-8927
    treeJournal of Vibration and Acoustics:;2013:;volume( 135 ):;issue: 003
    contenttypeFulltext
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