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    Dynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002::page 474
    Author:
    Sen Yung Lee
    ,
    Shueei Muh Lin
    DOI: 10.1115/1.2788892
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic response of a nonuniform beam with time-dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained nonuniform beams given by Lee and Kuo. The time-dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third-order degree, instead of the fifth-order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.
    keyword(s): Dynamic analysis , Boundary-value problems , Polynomials , Dynamic response AND Functions ,
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      Dynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116469
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    contributor authorSen Yung Lee
    contributor authorShueei Muh Lin
    date accessioned2017-05-08T23:49:15Z
    date available2017-05-08T23:49:15Z
    date copyrightJune, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26392#474_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116469
    description abstractThe dynamic response of a nonuniform beam with time-dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained nonuniform beams given by Lee and Kuo. The time-dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third-order degree, instead of the fifth-order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Analysis of Nonuniform Beams With Time-Dependent Elastic Boundary Conditions
    typeJournal Paper
    journal volume63
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2788892
    journal fristpage474
    journal lastpage478
    identifier eissn1528-9036
    keywordsDynamic analysis
    keywordsBoundary-value problems
    keywordsPolynomials
    keywordsDynamic response AND Functions
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 002
    contenttypeFulltext
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