Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0045-7825(02)00463-2
Title: Free vibration analysis of circular plates using generalized differential quadrature rule
Authors: Wu, T.Y.
Wang, Y.Y.
Liu, G.R. 
Keywords: Collocation method
Differential quadrature
Free vibration
Pseudo-spectral method
Ring support
Solid circular plate
Stepped thickness
Issue Date: 8-Nov-2002
Source: Wu, T.Y.,Wang, Y.Y.,Liu, G.R. (2002-11-08). Free vibration analysis of circular plates using generalized differential quadrature rule. Computer Methods in Applied Mechanics and Engineering 191 (46) : 5365-5380. ScholarBank@NUS Repository. https://doi.org/10.1016/S0045-7825(02)00463-2
Abstract: The free vibration of solid circular plates has been studied using the generalized differential quadrature rule (GDQR). The effects such as stepped thickness, intermediate concentric ring supports, and elastic restraints have been considered. Discrete system equations for natural frequency analysis were derived based on the GDQR. Issues related to the implementation of the boundary and compatibility conditions were addressed. Two regularity conditions at the solid circular plate center were formularized, since they were not quite clear in the present literature. Some wrong applications in the implementation of both differential quadrature methods and regularity conditions at the solid circular plate center have been pointed out. Execellent results have been obtained with the presented examples. © 2002 Elsevier Science B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/60367
ISSN: 00457825
DOI: 10.1016/S0045-7825(02)00463-2
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