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    Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 002::page 545
    Author:
    Y. B. Kim
    ,
    S. T. Noah
    DOI: 10.1115/1.2897218
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general approach is developed for determining the periodic solutions and their stability of nonlinear oscillators with piecewise-smooth characteristics. A modified harmonic balance/Fourier transform procedure is devised for the analysis. The procedure avoids certain numerical differentiation employed previously in determining the periodic solutions, therefore enhancing the reliability and efficiency of the method. Stability of the solutions is determined via perturbations of their state variables. The method is applied to a forced oscillator interacting with a stop of finite stiffness. Flip and fold bifurcations are found to occur. This led to the identification of parameter ranges in which chaotic response occurred.
    keyword(s): Stability , Bifurcation , Fourier transforms , Stiffness AND Reliability ,
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      Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach

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    http://yetl.yabesh.ir/yetl1/handle/yetl/108054
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    contributor authorY. B. Kim
    contributor authorS. T. Noah
    date accessioned2017-05-08T23:34:37Z
    date available2017-05-08T23:34:37Z
    date copyrightJune, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26332#545_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/108054
    description abstractA general approach is developed for determining the periodic solutions and their stability of nonlinear oscillators with piecewise-smooth characteristics. A modified harmonic balance/Fourier transform procedure is devised for the analysis. The procedure avoids certain numerical differentiation employed previously in determining the periodic solutions, therefore enhancing the reliability and efficiency of the method. Stability of the solutions is determined via perturbations of their state variables. The method is applied to a forced oscillator interacting with a stop of finite stiffness. Flip and fold bifurcations are found to occur. This led to the identification of parameter ranges in which chaotic response occurred.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach
    typeJournal Paper
    journal volume58
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897218
    journal fristpage545
    journal lastpage553
    identifier eissn1528-9036
    keywordsStability
    keywordsBifurcation
    keywordsFourier transforms
    keywordsStiffness AND Reliability
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 002
    contenttypeFulltext
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