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    Analytical Predication of Complex Motion of a Ball in a Periodically Shaken Horizontal Impact Pair

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 002::page 21001
    Author:
    Yu Guo
    ,
    Albert C. J. Luo
    DOI: 10.1115/1.4004884
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, complex motions of a ball in the horizontal impact pair with a periodic excitation are studied analytically using the theory of discontinuous dynamical system. Analytical conditions for motion switching caused by impacts are developed, and generic mapping structures are introduced to describe different periodic and chaotic motions. Analytical prediction of complex periodic motion of the ball in the periodically shaken impact pair is completed, and the corresponding stability and bifurcation analysis are also carried out. Numerical illustrations of periodic and chaotic motions are given.
    keyword(s): Motion AND Bifurcation ,
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      Analytical Predication of Complex Motion of a Ball in a Periodically Shaken Horizontal Impact Pair

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    http://yetl.yabesh.ir/yetl1/handle/yetl/148342
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    contributor authorYu Guo
    contributor authorAlbert C. J. Luo
    date accessioned2017-05-09T00:48:46Z
    date available2017-05-09T00:48:46Z
    date copyrightApril, 2012
    date issued2012
    identifier issn1555-1415
    identifier otherJCNDDM-25804#021001_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148342
    description abstractIn this paper, complex motions of a ball in the horizontal impact pair with a periodic excitation are studied analytically using the theory of discontinuous dynamical system. Analytical conditions for motion switching caused by impacts are developed, and generic mapping structures are introduced to describe different periodic and chaotic motions. Analytical prediction of complex periodic motion of the ball in the periodically shaken impact pair is completed, and the corresponding stability and bifurcation analysis are also carried out. Numerical illustrations of periodic and chaotic motions are given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalytical Predication of Complex Motion of a Ball in a Periodically Shaken Horizontal Impact Pair
    typeJournal Paper
    journal volume7
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4004884
    journal fristpage21001
    identifier eissn1555-1423
    keywordsMotion AND Bifurcation
    treeJournal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 002
    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
    yabeshDSpacePersian