Title

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

Authors

Authors

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

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

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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