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    A Higher-Order Theory for Vibration of Doubly Curved Shallow Shells

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 003::page 587
    Author:
    K. M. Liew
    ,
    C. W. Lim
    DOI: 10.1115/1.2823338
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A higher-order shear deformation theory is presented for vibration analysis of thick, doubly curved shallow shells. An orthogonal curvilinear coordinate system is employed to arrive at the strain components. A third-order displacement field in transverse coordinate is adopted. Though no transverse normal stress is assumed, the theory accounts for cubic distribution of the transverse shear strains through the shell thickness in contrast with existing parabolic shear distribution. The unsymmetric shear distribution is a physical consequence of the presence of shell curvatures where the stress and strain of a point above the mid-surface are different from its counterpart below the mid-surface. Imposing the vanishing of transverse shear strains on top and bottom surfaces, the rotation field is reduced from a six-degree to a two-degree system. The discrepancy between the existing and the present theories is highlighted.
    keyword(s): Vibration , Shells , Shear (Mechanics) , Stress , Rotation , Displacement , Shear deformation , Thickness AND Vibration analysis ,
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      A Higher-Order Theory for Vibration of Doubly Curved Shallow Shells

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116380
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    contributor authorK. M. Liew
    contributor authorC. W. Lim
    date accessioned2017-05-08T23:49:04Z
    date available2017-05-08T23:49:04Z
    date copyrightSeptember, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26399#587_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116380
    description abstractA higher-order shear deformation theory is presented for vibration analysis of thick, doubly curved shallow shells. An orthogonal curvilinear coordinate system is employed to arrive at the strain components. A third-order displacement field in transverse coordinate is adopted. Though no transverse normal stress is assumed, the theory accounts for cubic distribution of the transverse shear strains through the shell thickness in contrast with existing parabolic shear distribution. The unsymmetric shear distribution is a physical consequence of the presence of shell curvatures where the stress and strain of a point above the mid-surface are different from its counterpart below the mid-surface. Imposing the vanishing of transverse shear strains on top and bottom surfaces, the rotation field is reduced from a six-degree to a two-degree system. The discrepancy between the existing and the present theories is highlighted.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Higher-Order Theory for Vibration of Doubly Curved Shallow Shells
    typeJournal Paper
    journal volume63
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2823338
    journal fristpage587
    journal lastpage593
    identifier eissn1528-9036
    keywordsVibration
    keywordsShells
    keywordsShear (Mechanics)
    keywordsStress
    keywordsRotation
    keywordsDisplacement
    keywordsShear deformation
    keywordsThickness AND Vibration analysis
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 003
    contenttypeFulltext
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