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    On Higher-Order Elastodynamic Plate Theories

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002::page 423
    Author:
    T. C. Bache
    ,
    G. A. Hegemier
    DOI: 10.1115/1.3423304
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A hierarchy of approximate elastodynamic plate theories is deduced from the three-dimensional equations of elasticity. The derivation is based upon asymptotic expansions in a parameter viewed as the ratio of plate half thickness to a dominant signal wavelength of motion. Approximate theories of any desired order of accuracy are contained in a single compact set of partial differential equations with the order of approximation determined by the order of truncation of the differential operators appearing in the equations. As examples, particular cases of free extensional and forced flexural vibrations are studied. Lower-order theories for these cases are compared to some existing approximate theories of the same order.
    keyword(s): Elasticity , Wavelength , Motion , Vibration , Approximation , Equations , Partial differential equations , Signals AND Thickness ,
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      On Higher-Order Elastodynamic Plate Theories

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    contributor authorT. C. Bache
    contributor authorG. A. Hegemier
    date accessioned2017-05-09T01:37:35Z
    date available2017-05-09T01:37:35Z
    date copyrightJune, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26010#423_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164465
    description abstractA hierarchy of approximate elastodynamic plate theories is deduced from the three-dimensional equations of elasticity. The derivation is based upon asymptotic expansions in a parameter viewed as the ratio of plate half thickness to a dominant signal wavelength of motion. Approximate theories of any desired order of accuracy are contained in a single compact set of partial differential equations with the order of approximation determined by the order of truncation of the differential operators appearing in the equations. As examples, particular cases of free extensional and forced flexural vibrations are studied. Lower-order theories for these cases are compared to some existing approximate theories of the same order.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Higher-Order Elastodynamic Plate Theories
    typeJournal Paper
    journal volume41
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423304
    journal fristpage423
    journal lastpage428
    identifier eissn1528-9036
    keywordsElasticity
    keywordsWavelength
    keywordsMotion
    keywordsVibration
    keywordsApproximation
    keywordsEquations
    keywordsPartial differential equations
    keywordsSignals AND Thickness
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002
    contenttypeFulltext
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