Generalized hypergeometric function solutions for transverse vibration of a class of non-uniform annular plates

    Authors

    W. H. Duan; S. T. Quek;Q. Wang

    Comments

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    Abbreviated Journal Title

    J. Sound Vibr.

    Keywords

    VARIABLE THICKNESS; VARYING THICKNESS; CIRCULAR PLATES; VALUES; Acoustics; Engineering, Mechanical; Mechanics

    Abstract

    Free vibration analysis of thin annular plate with thickness varying monotonically in arbitrary power form is presented. Transformation of variable is introduced to translate the governing equation for the free vibration of thin annular plate into a fourth-order generalized hypergeometric equation. The analytical solutions in terms of generalized hypergeometric function taking either logarithmic or non-logarithmic forms are proposed, which encompass existing published solutions as special cases. To illustrate the use of the closed form solutions presented, free vibration analyses of a thin annular ultra-high-molecular weight polyethylene and a steel plate with linear and nonlinear thickness variation are performed. The results are compared with those from FE analysis based on Kirchhoff thin plate theory and 3D elasticity theory indicating good agreement. (c) 2004 Elsevier Ltd. All rights reserved.

    Journal Title

    Journal of Sound and Vibration

    Volume

    287

    Issue/Number

    4-5

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    785

    Last Page

    807

    WOS Identifier

    WOS:000232272300007

    ISSN

    0022-460X

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