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    A Multiparameter Perturbation Approach for the Vibration of Plates Subject to Arbitrary, Independent, In-Plane Loads

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 004::page 1081
    Author:
    S. F. Bassily
    ,
    S. M. Dickinson
    DOI: 10.1115/1.3423438
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A multiparameter perturbation approach for the solution of a class of differential equations is developed and is applied to the study of the vibration of rectangular plates under arbitrary in-plane loading fields describable by linear combinations of two or more independent loading parameters. The solution takes the form of a power series involving all the independent loading parameters and is valid over whole ranges of those parameters. Numerical results for fully clamped plates subject to uniform, combined, direct, and shear in-plane loads are presented in order to demonstrate the utility of the approach.
    keyword(s): Stress , Plates (structures) , Vibration , Shear (Mechanics) AND Differential equations ,
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      A Multiparameter Perturbation Approach for the Vibration of Plates Subject to Arbitrary, Independent, In-Plane Loads

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164333
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    contributor authorS. F. Bassily
    contributor authorS. M. Dickinson
    date accessioned2017-05-09T01:37:25Z
    date available2017-05-09T01:37:25Z
    date copyrightDecember, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26023#1081_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164333
    description abstractA multiparameter perturbation approach for the solution of a class of differential equations is developed and is applied to the study of the vibration of rectangular plates under arbitrary in-plane loading fields describable by linear combinations of two or more independent loading parameters. The solution takes the form of a power series involving all the independent loading parameters and is valid over whole ranges of those parameters. Numerical results for fully clamped plates subject to uniform, combined, direct, and shear in-plane loads are presented in order to demonstrate the utility of the approach.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Multiparameter Perturbation Approach for the Vibration of Plates Subject to Arbitrary, Independent, In-Plane Loads
    typeJournal Paper
    journal volume41
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423438
    journal fristpage1081
    journal lastpage1086
    identifier eissn1528-9036
    keywordsStress
    keywordsPlates (structures)
    keywordsVibration
    keywordsShear (Mechanics) AND Differential equations
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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