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    Fundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness

    Source: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 001::page 163
    Author:
    F. C. Appl
    ,
    N. R. Byers
    DOI: 10.1115/1.3625713
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Upper and lower bounds for the fundamental eigenvalue (frequency) of a simply supported rectangular plate with linearly varying thickness are given for several taper ratios and plan geometries. These bounds were determined using a previously published method which yields convergent bounds. In the present study, all results have been obtained to within 0.5 percent maximum possible error.
    keyword(s): Plates (structures) , Thickness , Eigenvalues AND Errors ,
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      Fundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness

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    contributor authorF. C. Appl
    contributor authorN. R. Byers
    date accessioned2017-05-08T23:29:32Z
    date available2017-05-08T23:29:32Z
    date copyrightMarch, 1965
    date issued1965
    identifier issn0021-8936
    identifier otherJAMCAV-25796#163_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/105156
    description abstractUpper and lower bounds for the fundamental eigenvalue (frequency) of a simply supported rectangular plate with linearly varying thickness are given for several taper ratios and plan geometries. These bounds were determined using a previously published method which yields convergent bounds. In the present study, all results have been obtained to within 0.5 percent maximum possible error.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFundamental Frequency of Simply Supported Rectangular Plates With Linearly Varying Thickness
    typeJournal Paper
    journal volume32
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3625713
    journal fristpage163
    journal lastpage168
    identifier eissn1528-9036
    keywordsPlates (structures)
    keywordsThickness
    keywordsEigenvalues AND Errors
    treeJournal of Applied Mechanics:;1965:;volume( 032 ):;issue: 001
    contenttypeFulltext
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