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    Generalized Variational Principle of Plates on Elastic Foundation

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004::page 1001
    Author:
    R. L. Yuan
    ,
    L. S. Wang
    DOI: 10.1115/1.2897674
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The theory of variational principle is enhanced by using the Lagrange multiplier to establish a generalized variational principle for plates on an elastic foundation. In the first part of this paper, the principle of minimum potential energy is introduced in which the integral equation is employed as the variational constrained condition. In the second part, it is shown that the generalized variational principle with two variational functions can be established. This represents, to the authors’ knowledge, the first treatment of the variational principle with these types of equations.
    keyword(s): Variational principles , Plates (structures) , Equations , Functions , Integral equations AND Potential energy ,
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      Generalized Variational Principle of Plates on Elastic Foundation

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    contributor authorR. L. Yuan
    contributor authorL. S. Wang
    date accessioned2017-05-08T23:34:29Z
    date available2017-05-08T23:34:29Z
    date copyrightDecember, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26335#1001_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/107943
    description abstractThe theory of variational principle is enhanced by using the Lagrange multiplier to establish a generalized variational principle for plates on an elastic foundation. In the first part of this paper, the principle of minimum potential energy is introduced in which the integral equation is employed as the variational constrained condition. In the second part, it is shown that the generalized variational principle with two variational functions can be established. This represents, to the authors’ knowledge, the first treatment of the variational principle with these types of equations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGeneralized Variational Principle of Plates on Elastic Foundation
    typeJournal Paper
    journal volume58
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897674
    journal fristpage1001
    journal lastpage1004
    identifier eissn1528-9036
    keywordsVariational principles
    keywordsPlates (structures)
    keywordsEquations
    keywordsFunctions
    keywordsIntegral equations AND Potential energy
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004
    contenttypeFulltext
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