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    Bifurcations of a Nonlinear Two-Degree-of-Freedom System Under Narrow-Band Stochastic Excitation

    Source: Journal of Vibration and Acoustics:;1992:;volume( 114 ):;issue: 001::page 24
    Author:
    R. Lin
    ,
    C. W. S. To
    ,
    K. Huseyin
    DOI: 10.1115/1.2930228
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, bifurcations of a nonlinear two-degree-of-freedom system subjected to a narrow-band stochastic excitation are investigated. Under the assumption that the correlation time greatly exceeds the relaxation time, a quasi-static approach combined with averaging method is adopted to obtain the bifurcation equations, and the singularity theory is applied to analyze the bifurcations. It is demonstrated that bifurcation patterns jump from one to another due to the influence of a random parameter. The probabilities of the jumping bifurcation patterns are given.
    keyword(s): Bifurcation , Equations , Probability AND Relaxation (Physics) ,
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      Bifurcations of a Nonlinear Two-Degree-of-Freedom System Under Narrow-Band Stochastic Excitation

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/111220
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    contributor authorR. Lin
    contributor authorC. W. S. To
    contributor authorK. Huseyin
    date accessioned2017-05-08T23:40:09Z
    date available2017-05-08T23:40:09Z
    date copyrightJanuary, 1992
    date issued1992
    identifier issn1048-9002
    identifier otherJVACEK-28800#24_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111220
    description abstractIn this paper, bifurcations of a nonlinear two-degree-of-freedom system subjected to a narrow-band stochastic excitation are investigated. Under the assumption that the correlation time greatly exceeds the relaxation time, a quasi-static approach combined with averaging method is adopted to obtain the bifurcation equations, and the singularity theory is applied to analyze the bifurcations. It is demonstrated that bifurcation patterns jump from one to another due to the influence of a random parameter. The probabilities of the jumping bifurcation patterns are given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleBifurcations of a Nonlinear Two-Degree-of-Freedom System Under Narrow-Band Stochastic Excitation
    typeJournal Paper
    journal volume114
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930228
    journal fristpage24
    journal lastpage31
    identifier eissn1528-8927
    keywordsBifurcation
    keywordsEquations
    keywordsProbability AND Relaxation (Physics)
    treeJournal of Vibration and Acoustics:;1992:;volume( 114 ):;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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