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    A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 003::page 34502
    Author:
    Hamid M. Sedighi
    ,
    Kourosh H. Shirazi
    DOI: 10.1115/1.4005924
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents the application of novel and reliable exact equivalent function (EF) for deadzone nonlinearity in an analytical investigation of nonlinear differential equations. A highly nonlinear equation of cantilever beam vibration with a deadzone nonlinear boundary condition is used to indicate the effectiveness of this EF. To obtain the analytical solution of dynamic behavior of the mentioned system, a powerful method, called He’s parameter expanding method (HPEM) is used. Comparison of the obtained solutions using a numerical method reveals the accuracy of this analytical EF.
    keyword(s): Cantilever beams , Vibration , Boundary-value problems , Equations AND Nonlinear equations ,
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      A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

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    https://yetl.yabesh.ir/yetl1/handle/yetl/148340
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    contributor authorHamid M. Sedighi
    contributor authorKourosh H. Shirazi
    date accessioned2017-05-09T00:48:46Z
    date available2017-05-09T00:48:46Z
    date copyrightJuly, 2012
    date issued2012
    identifier issn1555-1415
    identifier otherJCNDDM-25809#034502_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148340
    description abstractThis paper presents the application of novel and reliable exact equivalent function (EF) for deadzone nonlinearity in an analytical investigation of nonlinear differential equations. A highly nonlinear equation of cantilever beam vibration with a deadzone nonlinear boundary condition is used to indicate the effectiveness of this EF. To obtain the analytical solution of dynamic behavior of the mentioned system, a powerful method, called He’s parameter expanding method (HPEM) is used. Comparison of the obtained solutions using a numerical method reveals the accuracy of this analytical EF.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition
    typeJournal Paper
    journal volume7
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4005924
    journal fristpage34502
    identifier eissn1555-1423
    keywordsCantilever beams
    keywordsVibration
    keywordsBoundary-value problems
    keywordsEquations AND Nonlinear equations
    treeJournal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 003
    contenttypeFulltext
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