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    Bending Solutions of Axisymmetric Levinson Plates in Terms of Corresponding Kirchhoff Solutions

    Source: Journal of Engineering Mechanics:;2001:;Volume ( 127 ):;issue: 012
    Author:
    C. M. Wang
    ,
    G. T. Lim
    ,
    C. C. Sim
    DOI: 10.1061/(ASCE)0733-9399(2001)127:12(1296)
    Publisher: American Society of Civil Engineers
    Abstract: This paper presents exact axisymmetric bending solutions of circular and annular plates based on the higher-order plate theory of Levinson. The solutions are displayed in terms of the corresponding Kirchhoff (or classical thin) plate solutions. These Kirchhoff-Levinson bending relationships are derived using the mathematical similarity of the governing equations of the two plate theories and the basis of load equivalence. The relationships allow one to readily deduce the more accurate Levinson plate solutions that account for the effect of transverse shear deformation, without having to solve the more complicated Levinson plate equations.
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      Bending Solutions of Axisymmetric Levinson Plates in Terms of Corresponding Kirchhoff Solutions

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    contributor authorC. M. Wang
    contributor authorG. T. Lim
    contributor authorC. C. Sim
    date accessioned2017-05-08T22:39:28Z
    date available2017-05-08T22:39:28Z
    date copyrightDecember 2001
    date issued2001
    identifier other%28asce%290733-9399%282001%29127%3A12%281296%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/85321
    description abstractThis paper presents exact axisymmetric bending solutions of circular and annular plates based on the higher-order plate theory of Levinson. The solutions are displayed in terms of the corresponding Kirchhoff (or classical thin) plate solutions. These Kirchhoff-Levinson bending relationships are derived using the mathematical similarity of the governing equations of the two plate theories and the basis of load equivalence. The relationships allow one to readily deduce the more accurate Levinson plate solutions that account for the effect of transverse shear deformation, without having to solve the more complicated Levinson plate equations.
    publisherAmerican Society of Civil Engineers
    titleBending Solutions of Axisymmetric Levinson Plates in Terms of Corresponding Kirchhoff Solutions
    typeJournal Paper
    journal volume127
    journal issue12
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(2001)127:12(1296)
    treeJournal of Engineering Mechanics:;2001:;Volume ( 127 ):;issue: 012
    contenttypeFulltext
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