Transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness: A spline technique

2007 ◽  
Vol 306 (1-2) ◽  
pp. 203-214 ◽  
Author(s):  
Roshan Lal ◽  
Dhanpati
Keyword(s):  
Variable Thickness ◽  
Rectangular Plates ◽  
Transverse Vibrations ◽  
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.

Deflection and Moment Data for Rectangular Plates of Variable Thickness

1972 ◽  
Vol 39 (3) ◽  
pp. 814-815 ◽  
Author(s):  
P. Petrina ◽  
H. D. Conway
Keyword(s):  
Variable Thickness ◽  
Rectangular Plates ◽  
Direction Parallel ◽  
Simply Supported ◽  
Aspect Ratios ◽  
Plates Of Variable Thickness

Numerical values of deflections and moments are given for uniformly loaded rectangular plates with a pair of opposite sides simply supported and the others either simply supported or clamped. The plates are tapered in a direction parallel to the simply supported sides. Data are given for two tapers and for plate aspect ratios equal to 1 (square plates), 1.5 and 2.

On the Determination of the Fundamental Frequency of Vibration of Clamped Rectangular Plates of Variable Thickness

1978 ◽  
Vol 100 (4) ◽  
pp. 703-705 ◽  
Author(s):  
P. A. A. Laura ◽  
L. E. Luisoni
Keyword(s):  
Fundamental Frequency ◽  
Variable Thickness ◽  
Variational Approach ◽  
Practical Interest ◽  
Rectangular Plates ◽  
Polynomial Approximations ◽  
Plates Of Variable Thickness

It is shown that use of polynomial approximations and a variational approach allows for a very simple determination of the fundamental frequency of vibration in two cases of practical interest and results are obtained for several values of width to length ratios.

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