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    Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

    Source: Applied Mechanics Reviews:;2010:;volume( 063 ):;issue: 006::page 60802
    Author:
    Yuri V. Mikhlin
    ,
    Konstantin V. Avramov
    DOI: 10.1115/1.4003825
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two principal concepts of nonlinear normal vibrations modes (NNMs), namely the Kauderer–Rosenberg and Shaw–Pierre concepts, are analyzed. Properties of the NNMs and methods of their analysis are presented. NNMs stability and bifurcations are discussed. Combined application of the NNMs and the Rauscher method to analyze forced and parametric vibrations is discussed. Generalization of the NNMs to continuous systems dynamics is also described.
    keyword(s): Vibration , Bifurcation , Equations , Stability , Motion , Nonlinear systems , Dynamic systems AND Manifolds ,
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      Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments

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    https://yetl.yabesh.ir/yetl1/handle/yetl/142321
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    contributor authorYuri V. Mikhlin
    contributor authorKonstantin V. Avramov
    date accessioned2017-05-09T00:36:04Z
    date available2017-05-09T00:36:04Z
    date copyrightNovember, 2010
    date issued2010
    identifier issn0003-6900
    identifier otherAMREAD-25938#060802_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142321
    description abstractTwo principal concepts of nonlinear normal vibrations modes (NNMs), namely the Kauderer–Rosenberg and Shaw–Pierre concepts, are analyzed. Properties of the NNMs and methods of their analysis are presented. NNMs stability and bifurcations are discussed. Combined application of the NNMs and the Rauscher method to analyze forced and parametric vibrations is discussed. Generalization of the NNMs to continuous systems dynamics is also described.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments
    typeJournal Paper
    journal volume63
    journal issue6
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.4003825
    journal fristpage60802
    identifier eissn0003-6900
    keywordsVibration
    keywordsBifurcation
    keywordsEquations
    keywordsStability
    keywordsMotion
    keywordsNonlinear systems
    keywordsDynamic systems AND Manifolds
    treeApplied Mechanics Reviews:;2010:;volume( 063 ):;issue: 006
    contenttypeFulltext
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