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    Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates

    Source: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004::page 868
    Author:
    Ahmed K. Noor
    ,
    W. Scott Burton
    DOI: 10.1115/1.2894055
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Analytic three-dimensional elasticity solutions are presented for the free vibration and buckling of thermally stressed, multilayered, angle-ply composite plates. Sensitivity derivatives are also evaluated and used to study the sensitivity of the vibration and buckling responses to variations in the different lamination and material parameters of the plate. The plates are assumed to have rectangular geometry and an antisymmetric lamination with respect to the middle plane. The temperature is assumed to be independent of the surface coordinates, but has an arbitrary symmetric variation through the thickness of the plate. A linear, Duhamel-Neumann type constitutive model is used, and the material properties are assumed to be independent of temperature. The thermal plate response is subjected to time-varying perturbation displacements, strains, and stresses. A mixed formulation is used with the fundamental unknowns consisting of the six perturbation stress components and the three perturbation displacement components of the plate. The initial thermal deformations are accounted for. Each of the plate variables is decomposed into symmetric and antisymmetric components in the thickness direction, and is expressed in terms of a double Fourier series in the Cartesian surface coordinates. Numerical results are presented showing the effects of variations in material characteristics and fiber orientation of different layers, as well as the effects of initial thermal deformations on the vibrational and buckling responses of the plate, as well as their sensitivity derivatives.
    keyword(s): Composite materials , Plates (structures) , Buckling , Free vibrations , Laminations , Thickness , Stress , Deformation , Temperature , Fibers , Materials properties , Constitutive equations , Vibration , Elasticity , Geometry , Displacement AND Fourier series ,
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      Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates

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    http://yetl.yabesh.ir/yetl1/handle/yetl/109619
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    • Journal of Applied Mechanics

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    contributor authorAhmed K. Noor
    contributor authorW. Scott Burton
    date accessioned2017-05-08T23:37:20Z
    date available2017-05-08T23:37:20Z
    date copyrightDecember, 1992
    date issued1992
    identifier issn0021-8936
    identifier otherJAMCAV-26345#868_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109619
    description abstractAnalytic three-dimensional elasticity solutions are presented for the free vibration and buckling of thermally stressed, multilayered, angle-ply composite plates. Sensitivity derivatives are also evaluated and used to study the sensitivity of the vibration and buckling responses to variations in the different lamination and material parameters of the plate. The plates are assumed to have rectangular geometry and an antisymmetric lamination with respect to the middle plane. The temperature is assumed to be independent of the surface coordinates, but has an arbitrary symmetric variation through the thickness of the plate. A linear, Duhamel-Neumann type constitutive model is used, and the material properties are assumed to be independent of temperature. The thermal plate response is subjected to time-varying perturbation displacements, strains, and stresses. A mixed formulation is used with the fundamental unknowns consisting of the six perturbation stress components and the three perturbation displacement components of the plate. The initial thermal deformations are accounted for. Each of the plate variables is decomposed into symmetric and antisymmetric components in the thickness direction, and is expressed in terms of a double Fourier series in the Cartesian surface coordinates. Numerical results are presented showing the effects of variations in material characteristics and fiber orientation of different layers, as well as the effects of initial thermal deformations on the vibrational and buckling responses of the plate, as well as their sensitivity derivatives.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThree-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates
    typeJournal Paper
    journal volume59
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2894055
    journal fristpage868
    journal lastpage877
    identifier eissn1528-9036
    keywordsComposite materials
    keywordsPlates (structures)
    keywordsBuckling
    keywordsFree vibrations
    keywordsLaminations
    keywordsThickness
    keywordsStress
    keywordsDeformation
    keywordsTemperature
    keywordsFibers
    keywordsMaterials properties
    keywordsConstitutive equations
    keywordsVibration
    keywordsElasticity
    keywordsGeometry
    keywordsDisplacement AND Fourier series
    treeJournal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004
    contenttypeFulltext
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