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    Nonlinear Forced Vibrations of Beams

    Source: Journal of Applied Mechanics:;1985:;volume( 052 ):;issue: 001::page 163
    Author:
    M. Countryman
    ,
    R. Kannan
    DOI: 10.1115/1.3168988
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An iterative procedure for computing periodic solutions of nonlinear vibrating beams is presented. The nonlinear partial differential equation is replaced by a coupled system of equations. The contraction mapping principle is then applied to generate a method of successive approximations. The coupled equations are then approximated by discrete equations that are solved by matrix-theoretic techniques and numerical quadrature procedures. Some numerical examples are provided to illustrate the method.
    keyword(s): Vibration , Equations , Partial differential equations AND Approximation ,
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      Nonlinear Forced Vibrations of Beams

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    https://yetl.yabesh.ir/yetl1/handle/yetl/99471
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    contributor authorM. Countryman
    contributor authorR. Kannan
    date accessioned2017-05-08T23:19:34Z
    date available2017-05-08T23:19:34Z
    date copyrightMarch, 1985
    date issued1985
    identifier issn0021-8936
    identifier otherJAMCAV-26250#163_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/99471
    description abstractAn iterative procedure for computing periodic solutions of nonlinear vibrating beams is presented. The nonlinear partial differential equation is replaced by a coupled system of equations. The contraction mapping principle is then applied to generate a method of successive approximations. The coupled equations are then approximated by discrete equations that are solved by matrix-theoretic techniques and numerical quadrature procedures. Some numerical examples are provided to illustrate the method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Forced Vibrations of Beams
    typeJournal Paper
    journal volume52
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3168988
    journal fristpage163
    journal lastpage166
    identifier eissn1528-9036
    keywordsVibration
    keywordsEquations
    keywordsPartial differential equations AND Approximation
    treeJournal of Applied Mechanics:;1985:;volume( 052 ):;issue: 001
    contenttypeFulltext
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