TITLE:
Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions
AUTHORS:
Kavita, Satish Kumar, Pragati Sharma
KEYWORDS:
Vibration, Trapezoidal Plate, Taper Constants, Thermal Gradient, Aspect Ratio, Non-Homogeneity, Parabolically Thickness, Linearly Density
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.12,
July
25,
2016
ABSTRACT: The present analysis demonstrates the
thermal effect on vibrations of a symmetric, non-homoge- neous trapezoidal
plate with parabolically varying thickness in both directions. The variation in
Young’s modulus and mass density is the main cause for the occurrence of
non-homogeneity in plate’s material. In this consideration, density varies
linearly in one direction. The governing differential equations have been
derived by Rayleigh-Ritz method in order to attain fundamental frequencies.
With C-S-C-S boundary condition, a two term deflection function has been
considered. The effect of structural parameters such as taper constants,
thermal gradient, aspect ratio and non-homogeneity constant has been investigated
for first two modes of vibration. The obtained numerical results have been
presented in tabular and graphical form.