Bi-Parabolic temperature variation effect on free vibration of visco–elastic parallelogram plate with linear thickness variation in one dimensions

Abstract

This study analyzes the vibration modes of a
non-homogeneous isotropic parallelogram
plate with one-dimensional thickness
variation, focusing on CSCS edge
conditions, where "C" and "S" denote
clamped and simply supported edges,
respectively.. Thermal Induced vibration of
these plates has been taken as bi-parabolic
temperature distributions in both directions..
The time period corresponding to the first
two modes of vibration has been calculated
for a parallelogram plate under CSCS
boundary conditions for various values of
aspect ratio, thermal constant and taper
constant.