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    Methods and Gaussian Criterion for Statistical Linearization of Stochastic Parametrically and Externally Excited Nonlinear Systems

    Source: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001::page 179
    Author:
    R. J. Chang
    ,
    G. E. Young
    DOI: 10.1115/1.3176042
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The methods of Gaussian linearization along with a new Gaussian Criterion used in the prediction of the stationary output variances of stable nonlinear oscillators subjected to both stochastic parametric and external excitations are presented. The techniques of Gaussian linearization are first derived and the accuracy in the prediction of the stationary output variances is illustrated. The justification of using Gaussian linearization a priori is further investigated by establishing a Gaussian Criterion. The non-Gaussian effects due to system nonlinearities and/or large noise intensities in a Duffing oscillator are also illustrated. The validity of employing the Gaussian Criterion test for assuring accuracy of Gaussian linearization is supported by performing the Chi-square Gaussian goodness-of-fit test.
    keyword(s): Nonlinear systems , Goodness-of-fit tests AND Noise (Sound) ,
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      Methods and Gaussian Criterion for Statistical Linearization of Stochastic Parametrically and Externally Excited Nonlinear Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/105022
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    contributor authorR. J. Chang
    contributor authorG. E. Young
    date accessioned2017-05-08T23:29:17Z
    date available2017-05-08T23:29:17Z
    date copyrightMarch, 1989
    date issued1989
    identifier issn0021-8936
    identifier otherJAMCAV-26303#179_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105022
    description abstractThe methods of Gaussian linearization along with a new Gaussian Criterion used in the prediction of the stationary output variances of stable nonlinear oscillators subjected to both stochastic parametric and external excitations are presented. The techniques of Gaussian linearization are first derived and the accuracy in the prediction of the stationary output variances is illustrated. The justification of using Gaussian linearization a priori is further investigated by establishing a Gaussian Criterion. The non-Gaussian effects due to system nonlinearities and/or large noise intensities in a Duffing oscillator are also illustrated. The validity of employing the Gaussian Criterion test for assuring accuracy of Gaussian linearization is supported by performing the Chi-square Gaussian goodness-of-fit test.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMethods and Gaussian Criterion for Statistical Linearization of Stochastic Parametrically and Externally Excited Nonlinear Systems
    typeJournal Paper
    journal volume56
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3176042
    journal fristpage179
    journal lastpage185
    identifier eissn1528-9036
    keywordsNonlinear systems
    keywordsGoodness-of-fit tests AND Noise (Sound)
    treeJournal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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