Mechanical Vibration of Trapezoidal Visco Elastic Plate With Thermal Effect Along With Thickness Variation

Abstract

This work aims to examine the influence of bi-parabolic thickness temperature change on the vibrations of bi-linear temperature non-homogeneous trapezoidal plates. The plate has boundary conditions on all four edges that are simply supported (SSSS). The modulus of elasticity is not uniform because of temperature fluctuation. Different numerical values of the tapering constant, non-homogeneity, aspect ratio and temperature gradient are derived to determine the frequency of the 1^st and2^nd modes of vibration.