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    Equivalent Linearization for Continuous Dynamical Systems

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002::page 415
    Author:
    W. D. Iwan
    ,
    C. M. Krousgrill
    DOI: 10.1115/1.3167053
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An approximate method is presented for determining the dynamical response of certain continuous nonlinear systems. In the proposed method, the system equation is linearized in the time domain prior to generation of a solution in the spatial domain. The approach is particularly suited to problems with complex boundary conditions which make selection of realistic global, spatial, domain comparison functions difficult. The approach is ideally suited to problems where discretization using finite elements is appropriate. The transverse response of a nonlinear rectangular plate is examined by way of the application of the proposed method.
    keyword(s): Dynamic systems , Finite element analysis , Nonlinear systems , Boundary-value problems , Equations AND Functions ,
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      Equivalent Linearization for Continuous Dynamical Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/96675
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    contributor authorW. D. Iwan
    contributor authorC. M. Krousgrill
    date accessioned2017-05-08T23:14:48Z
    date available2017-05-08T23:14:48Z
    date copyrightJune, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26217#415_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96675
    description abstractAn approximate method is presented for determining the dynamical response of certain continuous nonlinear systems. In the proposed method, the system equation is linearized in the time domain prior to generation of a solution in the spatial domain. The approach is particularly suited to problems with complex boundary conditions which make selection of realistic global, spatial, domain comparison functions difficult. The approach is ideally suited to problems where discretization using finite elements is appropriate. The transverse response of a nonlinear rectangular plate is examined by way of the application of the proposed method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEquivalent Linearization for Continuous Dynamical Systems
    typeJournal Paper
    journal volume50
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167053
    journal fristpage415
    journal lastpage420
    identifier eissn1528-9036
    keywordsDynamic systems
    keywordsFinite element analysis
    keywordsNonlinear systems
    keywordsBoundary-value problems
    keywordsEquations AND Functions
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002
    contenttypeFulltext
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