Equations of orthotropic plates of variable thickness

1968 ◽  
Vol 4 (6) ◽  
pp. 9-13 ◽  
Author(s):  
L. Yu. Khoma
2018 ◽  
Vol 245 ◽  
pp. 01003 ◽  
Author(s):  
Rustamkhan Abdikarimov ◽  
Dadakhan Khodzhaev ◽  
Nikolay Vatin

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.


Author(s):  
Bakhodir Normuminov ◽  
Rustamkhan Abdikarimov ◽  
Dadakhan Khodzhaev ◽  
Zulfiya Khafizova

AIAA Journal ◽  
1968 ◽  
Vol 6 (8) ◽  
pp. 1625-1626 ◽  
Author(s):  
ALAN P. SALZMAN ◽  
SHARAD A. PATEL

1980 ◽  
Vol 12 (4) ◽  
pp. 508-512
Author(s):  
A. D. Lizarev ◽  
V. P. Kuz'mentsov

1982 ◽  
Vol 49 (1) ◽  
pp. 243-245 ◽  
Author(s):  
B. Banerjee

The large deflection of a clamped circular plate of variable thickness under uniform load has been investigated using von Karman’s equations. Numerical results obtained for the deflections and stresses at the center of the plate have been given in tabular forms.


1981 ◽  
Vol 77 (2) ◽  
pp. 291-294 ◽  
Author(s):  
P.A.A. Laura ◽  
R.H. Gutiérrez ◽  
G. Sánchez Sarmiento

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