Free vibration and buckling analysis of clamped rectangular plates of variable thickness by the Galerkin method

1989 ◽  
Vol 135 (2) ◽  
pp. 263-274 ◽  
Author(s):  
S.F. Ng ◽  
Y. Araar
Keyword(s):  
Free Vibration ◽  
Galerkin Method ◽  
Variable Thickness ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
The Galerkin Method ◽  
Plates Of Variable Thickness

Inplane Vibrations of Circular Rings With a Radially Variable Thickness

1983 ◽  
Vol 105 (1) ◽  
pp. 137-143 ◽  
Author(s):  
H. Lecoanet ◽  
J. Piranda
Keyword(s):  
Experimental Data ◽  
Galerkin Method ◽  
Variable Thickness ◽  
Circular Ring ◽  
Constant Thickness ◽  
Circular Rings ◽  
The Galerkin Method ◽  
Good Agreement

This paper gives some results on inplane vibrations of circular ring with a radially variable thickness. The problem is solved with the Galerkin method [1] making use of the eigenfunctions of a constant thickness ring. Good agreement is obtained between the approximate results and those of the exact calculus or experimental data.

scholarly journals To Calculation of Rectangular Plates on Periodic Oscillations

2018 ◽  
Vol 245 ◽  
pp. 01003 ◽  
Author(s):  
Rustamkhan Abdikarimov ◽  
Dadakhan Khodzhaev ◽  
Nikolay Vatin
Keyword(s):  
Variable Thickness ◽  
Dynamic Instability ◽  
Rheological Parameters ◽  
Problem Solution ◽  
Rectangular Plates ◽  
Orthotropic Plates ◽  
Weakly Singular Kernel ◽  
Parametric Oscillations ◽  
Plate Of Variable Thickness ◽  
Plates Of Variable Thickness

Geometrically nonlinear mathematical model of the problem of parametric oscillations of a viscoelastic orthotropic plate of variable thickness is developed using the classical Kirchhoff-Love hypothesis. The technique of the nonlinear problem solution by applying the Bubnov-Galerkin method at polynomial approximation of displacements (and deflection) and a numerical method that uses quadrature formula are proposed. The Koltunov-Rzhanitsyn kernel with three different rheological parameters is chosen as a weakly singular kernel. Parametric oscillations of viscoelastic orthotropic plates of variable thickness under the effect of an external load are investigated. The effect on the domain of dynamic instability of geometric nonlinearity, viscoelastic properties of material, as well as other physical-mechanical and geometric parameters and factors are taken into account. The results obtained are in good agreement with the results and data of other authors.

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