scholarly journals Study the Effect of Thermal Gradient on Transverse Vibration of Non-Homogeneous Orthotropic Trapezoidal Plate of Parabolically Varying Thickness

2011 ◽  
Vol 02 (01) ◽  
pp. 1-10 ◽  
Author(s):  
Arun K. Gupta ◽  
Shanu Sharma
Keyword(s):  
Transverse Vibration ◽  
Thermal Gradient ◽  
Varying Thickness ◽  
Trapezoidal Plate

scholarly journals Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Arun Kumar Gupta ◽  
Shanu Sharma
Keyword(s):  
Temperature Distribution ◽  
Aspect Ratio ◽  
Transverse Vibration ◽  
Thermal Gradient ◽  
Ritz Method ◽  
Linear Temperature ◽  
Varying Thickness ◽  
Free Transverse Vibration ◽  
Trapezoidal Plate ◽  
Taper Constant

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.

scholarly journals Analysis of free vibration of non-homogenous trapezoidal plate with 2D varying thickness and thermal effect

2016 ◽  
Vol 4 (4) ◽  
pp. 201-208 ◽  
Author(s):  
Ashish Kumar Sharma ◽  
Amit Sharma ◽  
A. K. Raghav ◽  
Vijay Kumar
Keyword(s):  
Free Vibration ◽  
Thermal Effect ◽  
Varying Thickness ◽  
Trapezoidal Plate
Sign in / Sign up

Export Citation Format

Share Document