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    Polar Orthotropic Inhomogeneous Circular Plates: Vibration Tailoring

    Source: Journal of Applied Mechanics:;2010:;volume( 077 ):;issue: 003::page 31019
    Author:
    Demetris Pentaras
    ,
    Isaac Elishakoff
    DOI: 10.1115/1.4000410
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Problem of matching a desired fundamental natural frequency is solved in the closed form for the polar-orthotropic inhomogeneous circular plate, which is clamped along its circumference. The vibration tailoring is performed by posing a semi-inverse eigenvalue problem. To do this, the fundamental mode shape is postulated. Namely, the analytical expression due to Lekhnitskii, and pertaining to the static deflection of the homogeneous circular plate is demanded to serve as an exact mode shape of the inhomogeneous plate. The analytical and numerical results are reported for several ratios of orthotropic coefficient.
    keyword(s): Plates (structures) , Vibration , Equations , Shapes , Design AND Deflection ,
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      Polar Orthotropic Inhomogeneous Circular Plates: Vibration Tailoring

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    http://yetl.yabesh.ir/yetl1/handle/yetl/142435
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    contributor authorDemetris Pentaras
    contributor authorIsaac Elishakoff
    date accessioned2017-05-09T00:36:17Z
    date available2017-05-09T00:36:17Z
    date copyrightMay, 2010
    date issued2010
    identifier issn0021-8936
    identifier otherJAMCAV-26787#031019_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142435
    description abstractProblem of matching a desired fundamental natural frequency is solved in the closed form for the polar-orthotropic inhomogeneous circular plate, which is clamped along its circumference. The vibration tailoring is performed by posing a semi-inverse eigenvalue problem. To do this, the fundamental mode shape is postulated. Namely, the analytical expression due to Lekhnitskii, and pertaining to the static deflection of the homogeneous circular plate is demanded to serve as an exact mode shape of the inhomogeneous plate. The analytical and numerical results are reported for several ratios of orthotropic coefficient.
    publisherThe American Society of Mechanical Engineers (ASME)
    titlePolar Orthotropic Inhomogeneous Circular Plates: Vibration Tailoring
    typeJournal Paper
    journal volume77
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4000410
    journal fristpage31019
    identifier eissn1528-9036
    keywordsPlates (structures)
    keywordsVibration
    keywordsEquations
    keywordsShapes
    keywordsDesign AND Deflection
    treeJournal of Applied Mechanics:;2010:;volume( 077 ):;issue: 003
    contenttypeFulltext
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