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    Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002::page 436
    Author:
    A. Jahedi
    ,
    G. Ahmadi
    DOI: 10.1115/1.3167056
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Nonstationary random vibration of a Duffing oscillator is considered. The method of Wiener-Hermite series expansion of an arbitrary random function is reviewed and applied to the analysis of the response of a Duffing oscillator. Deterministic integral equations for the Wiener-Hermite kernel functions are derived and discussed. For the special case of a shaped white-noise excitation, the system of integral equations are solved by an iterative scheme and the mean square responses of a Duffing oscillator for various values of nonlinearity strength and damping coefficient are calculated and the results are elaborated in several graphs.
    keyword(s): Random vibration , Integral equations , White noise , Functions AND Damping ,
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      Application of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator

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    http://yetl.yabesh.ir/yetl1/handle/yetl/96679
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    contributor authorA. Jahedi
    contributor authorG. Ahmadi
    date accessioned2017-05-08T23:14:48Z
    date available2017-05-08T23:14:48Z
    date copyrightJune, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26217#436_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96679
    description abstractNonstationary random vibration of a Duffing oscillator is considered. The method of Wiener-Hermite series expansion of an arbitrary random function is reviewed and applied to the analysis of the response of a Duffing oscillator. Deterministic integral equations for the Wiener-Hermite kernel functions are derived and discussed. For the special case of a shaped white-noise excitation, the system of integral equations are solved by an iterative scheme and the mean square responses of a Duffing oscillator for various values of nonlinearity strength and damping coefficient are calculated and the results are elaborated in several graphs.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of Wiener-Hermite Expansion to Nonstationary Random Vibration of a Duffing Oscillator
    typeJournal Paper
    journal volume50
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167056
    journal fristpage436
    journal lastpage442
    identifier eissn1528-9036
    keywordsRandom vibration
    keywordsIntegral equations
    keywordsWhite noise
    keywordsFunctions AND Damping
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002
    contenttypeFulltext
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