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    On Nonlinear Modes of Continuous Systems

    Source: Journal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 001::page 129
    Author:
    A. H. Nayfeh
    ,
    S. A. Nayfeh
    DOI: 10.1115/1.2930388
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We use several methods to study the nonlinear modes of one-dimensional continuous systems with cubic inertia and geometric nonlinearities. Invariant manifold and perturbation methods applied to the discretized system and the method of multiple scales applied to the partial-differential equation and boundary conditions are discussed and their equivalence is demonstrated. The method of multiple scales is then applied directly to the partial-differential equation and boundary conditions governing several nonlinear beam problems.
    keyword(s): Inertia (Mechanics) , Boundary-value problems , Equations AND Manifolds ,
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      On Nonlinear Modes of Continuous Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/114693
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    contributor authorA. H. Nayfeh
    contributor authorS. A. Nayfeh
    date accessioned2017-05-08T23:46:06Z
    date available2017-05-08T23:46:06Z
    date copyrightJanuary, 1994
    date issued1994
    identifier issn1048-9002
    identifier otherJVACEK-28812#129_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114693
    description abstractWe use several methods to study the nonlinear modes of one-dimensional continuous systems with cubic inertia and geometric nonlinearities. Invariant manifold and perturbation methods applied to the discretized system and the method of multiple scales applied to the partial-differential equation and boundary conditions are discussed and their equivalence is demonstrated. The method of multiple scales is then applied directly to the partial-differential equation and boundary conditions governing several nonlinear beam problems.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Nonlinear Modes of Continuous Systems
    typeJournal Paper
    journal volume116
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930388
    journal fristpage129
    journal lastpage136
    identifier eissn1528-8927
    keywordsInertia (Mechanics)
    keywordsBoundary-value problems
    keywordsEquations AND Manifolds
    treeJournal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 001
    contenttypeFulltext
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