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    Axisymmetric Vibrations of Homogeneous and Sandwich Spherical Caps

    Source: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003::page 667
    Author:
    B. Koplik
    ,
    Yi-Yuan Yu
    DOI: 10.1115/1.3607759
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: From the generalized variational equation of motion is derived a complete system of equations for sandwich as well as homogeneous spherical shells including the effect of thickness-shear deformation. Based on these equations the exact solution is obtained for the natural frequencies of axisymmetric vibrations of homogeneous and sandwich spherical caps with clamped edges. Emphasis in our investigation is on the transition from the vibrations of a circular disk to those of a spherical cap, for both homogeneous and sandwich cases, with numerical results showing the effects of thickness-shear and of curvature.
    keyword(s): Vibration , Shear (Mechanics) , Equations , Thickness , Deformation , Frequency , Spherical shells , Equations of motion AND Disks ,
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      Axisymmetric Vibrations of Homogeneous and Sandwich Spherical Caps

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116234
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    contributor authorB. Koplik
    contributor authorYi-Yuan Yu
    date accessioned2017-05-08T23:48:46Z
    date available2017-05-08T23:48:46Z
    date copyrightSeptember, 1967
    date issued1967
    identifier issn0021-8936
    identifier otherJAMCAV-25856#667_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116234
    description abstractFrom the generalized variational equation of motion is derived a complete system of equations for sandwich as well as homogeneous spherical shells including the effect of thickness-shear deformation. Based on these equations the exact solution is obtained for the natural frequencies of axisymmetric vibrations of homogeneous and sandwich spherical caps with clamped edges. Emphasis in our investigation is on the transition from the vibrations of a circular disk to those of a spherical cap, for both homogeneous and sandwich cases, with numerical results showing the effects of thickness-shear and of curvature.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAxisymmetric Vibrations of Homogeneous and Sandwich Spherical Caps
    typeJournal Paper
    journal volume34
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3607759
    journal fristpage667
    journal lastpage673
    identifier eissn1528-9036
    keywordsVibration
    keywordsShear (Mechanics)
    keywordsEquations
    keywordsThickness
    keywordsDeformation
    keywordsFrequency
    keywordsSpherical shells
    keywordsEquations of motion AND Disks
    treeJournal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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