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    Application of Homotopy Analysis Method in Nonlinear Oscillations

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004::page 914
    Author:
    Shi-Jun Liao
    ,
    A. T. Chwang
    DOI: 10.1115/1.2791935
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, we apply a new analytical technique for nonlinear problems, namely the Homotopy Analysis Method (Liao 1992a), to give two-period formulas for oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. These two formulas are uniformly valid for any possible amplitudes of oscillation. Four examples are given to illustrate the validity of the two formulas. This paper also demonstrates the general validity and the great potential of the Homotopy Analysis Method.
    keyword(s): Oscillations AND Formulas ,
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      Application of Homotopy Analysis Method in Nonlinear Oscillations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/119851
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    contributor authorShi-Jun Liao
    contributor authorA. T. Chwang
    date accessioned2017-05-08T23:55:34Z
    date available2017-05-08T23:55:34Z
    date copyrightDecember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26457#914_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119851
    description abstractIn this paper, we apply a new analytical technique for nonlinear problems, namely the Homotopy Analysis Method (Liao 1992a), to give two-period formulas for oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. These two formulas are uniformly valid for any possible amplitudes of oscillation. Four examples are given to illustrate the validity of the two formulas. This paper also demonstrates the general validity and the great potential of the Homotopy Analysis Method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of Homotopy Analysis Method in Nonlinear Oscillations
    typeJournal Paper
    journal volume65
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2791935
    journal fristpage914
    journal lastpage922
    identifier eissn1528-9036
    keywordsOscillations AND Formulas
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004
    contenttypeFulltext
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