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    On the Use of Beam Functions for Problems of Plates Involving Free Edges

    Source: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 004::page 858
    Author:
    S. F. Bassily
    ,
    S. M. Dickinson
    DOI: 10.1115/1.3423720
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set of functions, related to beam mode shapes, is postulated which allows considerably more accurate treatment of such plates. Several numerical examples concerning static deflection and free vibration of plates involving free edges are examined and serve to illustrate the applicability and accuracy of the new functions and to further demonstrate the inadequacy of the ordinary beam functions.
    keyword(s): Plates (structures) , Functions , Shapes , Vibration , Deflection AND Free vibrations ,
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      On the Use of Beam Functions for Problems of Plates Involving Free Edges

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    contributor authorS. F. Bassily
    contributor authorS. M. Dickinson
    date accessioned2017-05-08T22:57:39Z
    date available2017-05-08T22:57:39Z
    date copyrightDecember, 1975
    date issued1975
    identifier issn0021-8936
    identifier otherJAMCAV-26047#858_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/86985
    description abstractThe inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set of functions, related to beam mode shapes, is postulated which allows considerably more accurate treatment of such plates. Several numerical examples concerning static deflection and free vibration of plates involving free edges are examined and serve to illustrate the applicability and accuracy of the new functions and to further demonstrate the inadequacy of the ordinary beam functions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Use of Beam Functions for Problems of Plates Involving Free Edges
    typeJournal Paper
    journal volume42
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423720
    journal fristpage858
    journal lastpage864
    identifier eissn1528-9036
    keywordsPlates (structures)
    keywordsFunctions
    keywordsShapes
    keywordsVibration
    keywordsDeflection AND Free vibrations
    treeJournal of Applied Mechanics:;1975:;volume( 042 ):;issue: 004
    contenttypeFulltext
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