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    A Note on a New Stability Method for the Linear Modes of Nonlinear Two-Degree-of-Freedom Systems

    Source: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 002::page 258
    Author:
    Jack Porter
    ,
    C. P. Atkinson
    DOI: 10.1115/1.3640538
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a method for analyzing the stability of the linearly related modes of nonlinear two-degree-of-freedom oscillatory systems. For systems described by the coupled equations ẍ1 = f(x1 , x2 ) and ẍ2 = g(x1 , x2 ) there exist solutions related by the linear modal restraint x1 = cx2 where c is a constant. Such oscillations are not always stable. The method of this paper allows the prediction of the stability of the modes in terms of the amplitudes of the oscillations and the parameters of the equations of motion. Analog-computer results are presented which confirm the theoretical predictions.
    keyword(s): Stability , Oscillations , Equations of motion , Computers AND Equations ,
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      A Note on a New Stability Method for the Linear Modes of Nonlinear Two-Degree-of-Freedom Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/88213
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    contributor authorJack Porter
    contributor authorC. P. Atkinson
    date accessioned2017-05-08T22:59:57Z
    date available2017-05-08T22:59:57Z
    date copyrightJune, 1962
    date issued1962
    identifier issn0021-8936
    identifier otherJAMCAV-25666#258_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/88213
    description abstractThis paper presents a method for analyzing the stability of the linearly related modes of nonlinear two-degree-of-freedom oscillatory systems. For systems described by the coupled equations ẍ1 = f(x1 , x2 ) and ẍ2 = g(x1 , x2 ) there exist solutions related by the linear modal restraint x1 = cx2 where c is a constant. Such oscillations are not always stable. The method of this paper allows the prediction of the stability of the modes in terms of the amplitudes of the oscillations and the parameters of the equations of motion. Analog-computer results are presented which confirm the theoretical predictions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Note on a New Stability Method for the Linear Modes of Nonlinear Two-Degree-of-Freedom Systems
    typeJournal Paper
    journal volume29
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3640538
    journal fristpage258
    journal lastpage262
    identifier eissn1528-9036
    keywordsStability
    keywordsOscillations
    keywordsEquations of motion
    keywordsComputers AND Equations
    treeJournal of Applied Mechanics:;1962:;volume( 029 ):;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
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