Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jsv.2004.11.027
Title: Generalized hypergeometric function solutions for transverse vibration of a class of non-uniform annular plates
Authors: Duan, W.H. 
Quek, S.T. 
Wang, Q.
Issue Date: 4-Nov-2005
Source: Duan, W.H., Quek, S.T., Wang, Q. (2005-11-04). Generalized hypergeometric function solutions for transverse vibration of a class of non-uniform annular plates. Journal of Sound and Vibration 287 (4-5) : 785-807. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsv.2004.11.027
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. © 2004 Elsevier Ltd. All rights reserved.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/65649
ISSN: 0022460X
DOI: 10.1016/j.jsv.2004.11.027
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

18
checked on Dec 6, 2017

WEB OF SCIENCETM
Citations

15
checked on Nov 17, 2017

Page view(s)

31
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.