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    The Onset of Chaos in a Two-Degree-of-Freedom Impacting System

    Source: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 001::page 168
    Author:
    Jinsiang Shaw
    ,
    Steven W. Shaw
    DOI: 10.1115/1.3176040
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic response of a two-degree-of-freedom impacting system is considered. The system consists of an inverted pendulum with motion limiting stops attached to a sinusoidally excited mass-spring system. Two types of periodic response for this system are analyzed in detail; existence, stability, and bifurcations of these motions can be explicitly computed using a piecewise linear model. The appearance and loss of stability of very long period subharmonics is shown to coincide with a global bifurcation in which chaotic motions, in the form of Smale horseshoes, arise. Application of this device as an impact damper is also briefly discussed.
    keyword(s): Chaos , Motion , Stability , Bifurcation , Dampers , Dynamic response , Pendulums AND Springs ,
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      The Onset of Chaos in a Two-Degree-of-Freedom Impacting System

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    contributor authorJinsiang Shaw
    contributor authorSteven W. Shaw
    date accessioned2017-05-08T23:29:17Z
    date available2017-05-08T23:29:17Z
    date copyrightMarch, 1989
    date issued1989
    identifier issn0021-8936
    identifier otherJAMCAV-26303#168_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105020
    description abstractThe dynamic response of a two-degree-of-freedom impacting system is considered. The system consists of an inverted pendulum with motion limiting stops attached to a sinusoidally excited mass-spring system. Two types of periodic response for this system are analyzed in detail; existence, stability, and bifurcations of these motions can be explicitly computed using a piecewise linear model. The appearance and loss of stability of very long period subharmonics is shown to coincide with a global bifurcation in which chaotic motions, in the form of Smale horseshoes, arise. Application of this device as an impact damper is also briefly discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Onset of Chaos in a Two-Degree-of-Freedom Impacting System
    typeJournal Paper
    journal volume56
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3176040
    journal fristpage168
    journal lastpage174
    identifier eissn1528-9036
    keywordsChaos
    keywordsMotion
    keywordsStability
    keywordsBifurcation
    keywordsDampers
    keywordsDynamic response
    keywordsPendulums AND Springs
    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
    yabeshDSpacePersian