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    Parametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise

    Source: Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 004::page 41007
    Author:
    Jinyu Zhu
    ,
    Ronald M. C. So
    ,
    X. Q. Wang
    ,
    W.-C. Xie
    DOI: 10.1115/1.2999427
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic stability of a two degrees-of-freedom system under bounded noise excitation with a narrowband characteristic is studied through the determination of moment Lyapunov exponents. The partial differential eigenvalue problem governing the moment Lyapunov exponent is established. For weak noise excitations, a singular perturbation method is employed to obtain second-order expansions of the moment Lyapunov exponents and Lyapunov exponents, which are shown to be in good agreement with those obtained using Monte Carlo simulation. The different cases when the system is in subharmonic resonance, combination additive resonance, and combined resonance in the absence of noise, respectively, are considered. The effects of noise and frequency detuning on the parametric resonance are investigated.
    keyword(s): Resonance , Noise (Sound) , Degrees of freedom , Stability AND Eigenvalues ,
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      Parametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise

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    http://yetl.yabesh.ir/yetl1/handle/yetl/139724
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    contributor authorJinyu Zhu
    contributor authorRonald M. C. So
    contributor authorX. Q. Wang
    contributor authorW.-C. Xie
    date accessioned2017-05-09T00:31:14Z
    date available2017-05-09T00:31:14Z
    date copyrightJuly, 2009
    date issued2009
    identifier issn0021-8936
    identifier otherJAMCAV-26755#041007_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/139724
    description abstractThe dynamic stability of a two degrees-of-freedom system under bounded noise excitation with a narrowband characteristic is studied through the determination of moment Lyapunov exponents. The partial differential eigenvalue problem governing the moment Lyapunov exponent is established. For weak noise excitations, a singular perturbation method is employed to obtain second-order expansions of the moment Lyapunov exponents and Lyapunov exponents, which are shown to be in good agreement with those obtained using Monte Carlo simulation. The different cases when the system is in subharmonic resonance, combination additive resonance, and combined resonance in the absence of noise, respectively, are considered. The effects of noise and frequency detuning on the parametric resonance are investigated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleParametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise
    typeJournal Paper
    journal volume76
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2999427
    journal fristpage41007
    identifier eissn1528-9036
    keywordsResonance
    keywordsNoise (Sound)
    keywordsDegrees of freedom
    keywordsStability AND Eigenvalues
    treeJournal of Applied Mechanics:;2009:;volume( 076 ):;issue: 004
    contenttypeFulltext
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