scholarly journals Study of the Effect of the Linear Temperature Behaviour on a Non-Homogeneous Trapezoidal Plate of Parabolically Varying Thickness

Author(s):  
A. K. Gupta ◽  
Pragati Sharma
2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Arun Kumar Gupta ◽  
Shanu Sharma

The present paper deals with the free transverse vibration of orthotropic thin trapezoidal plate of parabolically varying thickness inx-direction subjected to linear temperature distribution inx-direction through a numerical method. The deflection function is defined by the product of the equations of the prescribed continuous piecewise boundary shape. Rayleigh-Ritz method is used to evaluate the fundamental frequencies. The equations of motion, governing the free transverse vibrations of orthotropic thin trapezoidal plates, are derived with boundary condition CSCS. Frequency corresponding to the first two modes of vibration is calculated for the orthotropic thin trapezoidal plate having CSCS edges for different values of thermal gradient, taper constant, and aspect ratio. The proposed method is applied to solve orthotropic thin trapezoidal plate of variable thickness with C-S-C-S boundary conditions. Results are shown by figures for different values of thermal gradient, taper constant, and aspect ratio for the first two modes of vibrations.


2016 ◽  
Vol 4 (4) ◽  
pp. 201-208 ◽  
Author(s):  
Ashish Kumar Sharma ◽  
Amit Sharma ◽  
A. K. Raghav ◽  
Vijay Kumar

1983 ◽  
Vol 44 (C3) ◽  
pp. C3-1083-C3-1086 ◽  
Author(s):  
S. Tomic ◽  
D. Jérôme ◽  
P. Monod ◽  
K. Bechgaard

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