Vibration Analysis of Non-Homogeneous Orthotropic Triangular Plates (S-C-S-C) with Bi-Parabolic Thickness and Temperature Variations

Abstract

This paper proposes a simple model to investigate the impact of non-homogeneity on the vibration of triangular plates with bi-parabolic thickness variation. The study considers thermal-induced vibration with two-dimensional parabolic temperature distributions. The Poisson ratio varies bi-linearly to account for material non-homogeneity. The governing differential equation is solved using the separation of variables method. The time period corresponding to the first two modes of vibration is calculated for a simply supported triangular plate, considering various aspect ratios, thermal constants, taper constants, and skew angles.