A SEMI-ANALYTICAL SOLUTION OF THE FLEXURAL VIBRATION OF ORTHOTROPIC PLATES OF VARIABLE THICKNESS

2001 ◽  
Vol 240 (3) ◽  
pp. 431-445 ◽  
Author(s):  
A.S. ASHOUR
Keyword(s):  
Analytical Solution ◽  
Variable Thickness ◽  
Flexural Vibration ◽  
Orthotropic Plates ◽  
Plates Of Variable Thickness

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.

scholarly journals Parametric oscillations of viscoelastic orthotropic plates of variable thickness

2020 ◽  
Vol 896 ◽  
pp. 012029
Author(s):  
Bakhodir Normuminov ◽  
Rustamkhan Abdikarimov ◽  
Dadakhan Khodzhaev ◽  
Zulfiya Khafizova
Keyword(s):  
Variable Thickness ◽  
Orthotropic Plates ◽  
Parametric Oscillations ◽  
Plates Of Variable Thickness

scholarly journals Natural frequencies of orthotropic circular plates of variable thickness.

AIAA Journal ◽  
1968 ◽  
Vol 6 (8) ◽  
pp. 1625-1626 ◽  
Author(s):  
ALAN P. SALZMAN ◽  
SHARAD A. PATEL
Keyword(s):  
Variable Thickness ◽  
Natural Frequencies ◽  
Circular Plates ◽  
Plates Of Variable Thickness

Free vibrations of annular plates of variable thickness

1980 ◽  
Vol 12 (4) ◽  
pp. 508-512
Author(s):  
A. D. Lizarev ◽  
V. P. Kuz'mentsov
Keyword(s):  
Variable Thickness ◽  
Free Vibrations ◽  
Annular Plates ◽  
Plates Of Variable Thickness
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