Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0020-7683(01)00077-4
Title: Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule
Authors: Wu, T.Y. 
Liu, G.R. 
Keywords: Circular plate
Collocation method
Differential quadrature method
Elastic restraint
Free vibration
Pseudospectral method
Ring supports
Spectral method
Variable thickness
Issue Date: 12-Oct-2001
Source: Wu, T.Y.,Liu, G.R. (2001-10-12). Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule. International Journal of Solids and Structures 38 (44-45) : 7967-7980. ScholarBank@NUS Repository. https://doi.org/10.1016/S0020-7683(01)00077-4
Abstract: The generalized differential quadrature rule proposed recently by these authors is applied here to the free vibration analyses of solid circular plates with radially varying thickness and elastic restraints. The thickness can vary radially in any given continuous form, and it varies exponentially and linearly in this work. Two regularity conditions corresponding to the plate center are expressed in explicit formulae, since they have been inexactly or even wrongly expressed in the literature. Such errors are pointed out in the application of the differential quadrature techniques and in the expression of the regularity conditions at the plate center. Numerical results are presented for a number of plates, illustrating the versatility and accuracy of the approach. © 2001 Elsevier Science Ltd. All rights reserved.
Source Title: International Journal of Solids and Structures
URI: http://scholarbank.nus.edu.sg/handle/10635/60368
ISSN: 00207683
DOI: 10.1016/S0020-7683(01)00077-4
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