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    Equivalent Statistical Cubicization for System and Forcing Nonlinearities

    Source: Journal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 008
    Author:
    Michael A. Tognarelli
    ,
    Jun Zhao
    ,
    Ahsan Kareem
    DOI: 10.1061/(ASCE)0733-9399(1997)123:8(890)
    Publisher: American Society of Civil Engineers
    Abstract: This technical note outlines the treatment of a single-degree-of-freedom (SDOF) system containing statistically symmetric nonlinearities in both its stiffness characteristics and its excitation. Via equivalent statistical cubicization, the nonlinearities that are not in polynomial form are cast as polynomials containing firstand third-order terms. This allows the use of a Volterra series approach that yields a system of two differential equations for the firstand third-order components of the response. Transforming this system into the frequency domain produces transfer functions from which power spectral density and statistics up to the fourth order may be obtained for the system response. Finally, using the statistics within the framework of a moment-based Hermite transformation model yields an estimate of the non-Gaussian probability-density function (PDF) for the system response.
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      Equivalent Statistical Cubicization for System and Forcing Nonlinearities

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    http://yetl.yabesh.ir/yetl1/handle/yetl/84664
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    contributor authorMichael A. Tognarelli
    contributor authorJun Zhao
    contributor authorAhsan Kareem
    date accessioned2017-05-08T22:38:24Z
    date available2017-05-08T22:38:24Z
    date copyrightAugust 1997
    date issued1997
    identifier other%28asce%290733-9399%281997%29123%3A8%28890%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/84664
    description abstractThis technical note outlines the treatment of a single-degree-of-freedom (SDOF) system containing statistically symmetric nonlinearities in both its stiffness characteristics and its excitation. Via equivalent statistical cubicization, the nonlinearities that are not in polynomial form are cast as polynomials containing firstand third-order terms. This allows the use of a Volterra series approach that yields a system of two differential equations for the firstand third-order components of the response. Transforming this system into the frequency domain produces transfer functions from which power spectral density and statistics up to the fourth order may be obtained for the system response. Finally, using the statistics within the framework of a moment-based Hermite transformation model yields an estimate of the non-Gaussian probability-density function (PDF) for the system response.
    publisherAmerican Society of Civil Engineers
    titleEquivalent Statistical Cubicization for System and Forcing Nonlinearities
    typeJournal Paper
    journal volume123
    journal issue8
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1997)123:8(890)
    treeJournal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 008
    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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