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    Calculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping

    Source: Journal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008::page 81004-1
    Author:
    Van Khang, Nguyen
    ,
    Thuy, Bui Thi
    ,
    Chung, Phạm Thanh
    DOI: 10.1115/1.4054151
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, the parametric resonance of third-order parametric nonlinear system with dynamic friction and fractional damping is investigated using the asymptotic method. The approximately analytical solution for the system is first determined, and the amplitude–frequency equation of the oscillator is established. The stability condition of the resonance solution is then obtained by means of Lyapunov theory. Additionally, the effect of the fractional derivative on the system dynamics is analyzed. The effects of the two parameters of the fractional-order derivative, i.e., the fractional coefficient and the fractional order, on the amplitude–frequency curves are investigated.
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      Calculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping

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    contributor authorVan Khang, Nguyen
    contributor authorThuy, Bui Thi
    contributor authorChung, Phạm Thanh
    date accessioned2022-05-08T09:02:11Z
    date available2022-05-08T09:02:11Z
    date copyright4/12/2022 12:00:00 AM
    date issued2022
    identifier issn1555-1415
    identifier othercnd_017_08_081004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4284654
    description abstractIn this paper, the parametric resonance of third-order parametric nonlinear system with dynamic friction and fractional damping is investigated using the asymptotic method. The approximately analytical solution for the system is first determined, and the amplitude–frequency equation of the oscillator is established. The stability condition of the resonance solution is then obtained by means of Lyapunov theory. Additionally, the effect of the fractional derivative on the system dynamics is analyzed. The effects of the two parameters of the fractional-order derivative, i.e., the fractional coefficient and the fractional order, on the amplitude–frequency curves are investigated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleCalculating Parametric Oscillation of Third-Order Nonlinear System With Dynamic Friction and Fractional Damping
    typeJournal Paper
    journal volume17
    journal issue8
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4054151
    journal fristpage81004-1
    journal lastpage81004-10
    page10
    treeJournal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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