Free bending vibration analysis of thin bidirectionally exponentially graded orthotropic rectangular plates resting on two-parameter elastic foundations

2018 ◽  
Vol 184 ◽  
pp. 372-377 ◽  
Author(s):  
V.C. Haciyev ◽  
A.H. Sofiyev ◽  
N. Kuruoglu
Keyword(s):  
Vibration Analysis ◽  
Rectangular Plates ◽  
Bending Vibration ◽  
Elastic Foundations ◽  
Free Bending ◽  
Two Parameter ◽  
Exponentially Graded

Thermo-Mechanical Bending Response of Exponentially Graded Thick Plates Resting on Elastic Foundations

2015 ◽  
Vol 07 (04) ◽  
pp. 1550062 ◽  
Author(s):  
A. M. Zenkour ◽  
M. N. M. Allam ◽  
A. F. Radwan ◽  
H. F. El-Mekawy
Keyword(s):  
Thermal Loading ◽  
Plate Theory ◽  
Rectangular Plates ◽  
Elastic Foundations ◽  
Mechanical Responses ◽  
Mechanical Bending ◽  
Lamé Coefficients ◽  
Bending Response ◽  
Exponentially Graded ◽  
Principle Of Virtual Displacements

The trigonometric shear and normal deformations plate theory is used to study the thermo-mechanical bending analysis of exponentially graded (EG) thick rectangular plates resting on Pasternak elastic foundations. Material properties of the plate are assumed to be graded in the thickness direction according to an exponential law distribution, meaning that Lamé coefficients vary exponentially in a given fixed z-direction. The governing equations are derived from the principle of virtual displacements. The analytical solutions are obtained by using Navier technique and the effects of stiffness of the foundations, thermal loading, and gradient index on thermo-mechanical responses of the plates are discussed. Numerical results for the bending response for EG rectangular plates are investigated and some of them are compared with those available in the literature.

Free Vibration Analysis of Functionally Graded Plates on Two-Parameter Elastic Supports and in Contact With Stationary Fluid

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Arash Shahbaztabar ◽  
Ahmad Rahbar Ranji
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Volume Fraction ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Rectangular Plates ◽  
Power Law Distribution ◽  
Fg Plates ◽  
The Impact ◽  
Two Parameter

Free vibration analysis of functionally graded (FG) rectangular plates on two-parameter elastic foundation and vertically coupled with fluid is the objective of this work. The fluid domain is considered to be infinite in length, but it is bounded in depth and width directions, and the effects of hydrostatic pressure and free surface waves are not taken into account. The mechanical properties of the FG plates are assumed to vary continuously through the thickness direction according to a power-law distribution of the volume fraction of the constituents. The accuracy and applicability of the formulation is illustrated by comparison studies with those reported in the open literature. At the end, parametric studies are carried out to examine the impact of different parameters on the natural frequencies.

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