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    Vibration of Nonhomogeneous Orthotropic Elliptic and Circular Plates With Variable Thickness

    Source: Journal of Vibration and Acoustics:;2007:;volume( 129 ):;issue: 002::page 256
    Author:
    S. Chakraverty
    ,
    Ragini Jindal
    ,
    V. K. Agarwal
    DOI: 10.1115/1.2346695
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, study of nonhomogeneity as well as variable thickness in elliptic and circular orthotropic plates is undertaken. Nonhomogeneity of plate material is assumed to be a quadratic variation of Young’s modulii and density whereas shear modulus, is considered to vary linearly along both the axes. The quadratic thickness variation in orthotropic nonhomogeneous plates is also considered. Effect of variation of these parameters on vibrational characteristics are analyzed for various boundary conditions at the edges. Results are obtained using boundary characteristic orthogonal polynomials generated by using Gram-Schmidt orthogonalization procedure in Rayleigh-Ritz method.
    keyword(s): Plates (structures) , Vibration , Polynomials , Thickness , Boundary-value problems , Density , Rayleigh-Ritz methods AND Shear modulus ,
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      Vibration of Nonhomogeneous Orthotropic Elliptic and Circular Plates With Variable Thickness

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    http://yetl.yabesh.ir/yetl1/handle/yetl/137144
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    contributor authorS. Chakraverty
    contributor authorRagini Jindal
    contributor authorV. K. Agarwal
    date accessioned2017-05-09T00:26:23Z
    date available2017-05-09T00:26:23Z
    date copyrightApril, 2007
    date issued2007
    identifier issn1048-9002
    identifier otherJVACEK-28885#256_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137144
    description abstractIn this paper, study of nonhomogeneity as well as variable thickness in elliptic and circular orthotropic plates is undertaken. Nonhomogeneity of plate material is assumed to be a quadratic variation of Young’s modulii and density whereas shear modulus, is considered to vary linearly along both the axes. The quadratic thickness variation in orthotropic nonhomogeneous plates is also considered. Effect of variation of these parameters on vibrational characteristics are analyzed for various boundary conditions at the edges. Results are obtained using boundary characteristic orthogonal polynomials generated by using Gram-Schmidt orthogonalization procedure in Rayleigh-Ritz method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVibration of Nonhomogeneous Orthotropic Elliptic and Circular Plates With Variable Thickness
    typeJournal Paper
    journal volume129
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2346695
    journal fristpage256
    journal lastpage259
    identifier eissn1528-8927
    keywordsPlates (structures)
    keywordsVibration
    keywordsPolynomials
    keywordsThickness
    keywordsBoundary-value problems
    keywordsDensity
    keywordsRayleigh-Ritz methods AND Shear modulus
    treeJournal of Vibration and Acoustics:;2007:;volume( 129 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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