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    Forced Nonlinear Oscillations of an Autoparametric System—Part 1: Periodic Responses

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 003::page 657
    Author:
    H. Hatwal
    ,
    A. K. Mallik
    ,
    A. Ghosh
    DOI: 10.1115/1.3167106
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Forced oscillations of a two degree-of-freedom autoparametric system are studied with moderately high excitations. The approximate results obtained by the method of harmonic balance are found to be satisfactory by comparing with those obtained by numerical integration. In the primary parametric instability zone, separate regions of stable and unstable harmonic solutions are obtained. In the regions of unstable harmonic solutions, depending on the forcing amplitude and frequency, the solutions may be amplitude modulated or completely nonperiodic. In the latter case the numerical integrations do not converge.
    keyword(s): Oscillations AND Degrees of freedom ,
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      Forced Nonlinear Oscillations of an Autoparametric System—Part 1: Periodic Responses

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    http://yetl.yabesh.ir/yetl1/handle/yetl/96617
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    contributor authorH. Hatwal
    contributor authorA. K. Mallik
    contributor authorA. Ghosh
    date accessioned2017-05-08T23:14:42Z
    date available2017-05-08T23:14:42Z
    date copyrightSeptember, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26223#657_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96617
    description abstractForced oscillations of a two degree-of-freedom autoparametric system are studied with moderately high excitations. The approximate results obtained by the method of harmonic balance are found to be satisfactory by comparing with those obtained by numerical integration. In the primary parametric instability zone, separate regions of stable and unstable harmonic solutions are obtained. In the regions of unstable harmonic solutions, depending on the forcing amplitude and frequency, the solutions may be amplitude modulated or completely nonperiodic. In the latter case the numerical integrations do not converge.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleForced Nonlinear Oscillations of an Autoparametric System—Part 1: Periodic Responses
    typeJournal Paper
    journal volume50
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167106
    journal fristpage657
    journal lastpage662
    identifier eissn1528-9036
    keywordsOscillations AND Degrees of freedom
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 003
    contenttypeFulltext
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