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    The Stability of the Normal Modes of Nonlinear Systems With Polynomial Restoring Forces of High Degree

    Source: Journal of Applied Mechanics:;1963:;volume( 030 ):;issue: 002::page 193
    Author:
    C. P. Atkinson
    ,
    S. J. Bhatt
    ,
    Tercio Pacitti
    DOI: 10.1115/1.3636511
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents methods for determining the exact solutions of certain two-degree-of-freedom nonlinear systems with high-degree polynomial restoring forces. The exact solutions are the normal modes of the systems. A stability analysis of solutions in the normal modes is given. Some systems have normal modes whose stability is a function of amplitude. The stability of complicated systems can be approximated by superposing the stability characteristics of simpler systems. Some experimental confirmation by analog computer is also presented.
    keyword(s): Force , Stability , Nonlinear systems , Polynomials AND Computers ,
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      The Stability of the Normal Modes of Nonlinear Systems With Polynomial Restoring Forces of High Degree

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    contributor authorC. P. Atkinson
    contributor authorS. J. Bhatt
    contributor authorTercio Pacitti
    date accessioned2017-05-08T23:08:44Z
    date available2017-05-08T23:08:44Z
    date copyrightJune, 1963
    date issued1963
    identifier issn0021-8936
    identifier otherJAMCAV-25708#193_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/93301
    description abstractThis paper presents methods for determining the exact solutions of certain two-degree-of-freedom nonlinear systems with high-degree polynomial restoring forces. The exact solutions are the normal modes of the systems. A stability analysis of solutions in the normal modes is given. Some systems have normal modes whose stability is a function of amplitude. The stability of complicated systems can be approximated by superposing the stability characteristics of simpler systems. Some experimental confirmation by analog computer is also presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Stability of the Normal Modes of Nonlinear Systems With Polynomial Restoring Forces of High Degree
    typeJournal Paper
    journal volume30
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3636511
    journal fristpage193
    journal lastpage198
    identifier eissn1528-9036
    keywordsForce
    keywordsStability
    keywordsNonlinear systems
    keywordsPolynomials AND Computers
    treeJournal of Applied Mechanics:;1963:;volume( 030 ):;issue: 002
    contenttypeFulltext
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