Vibration Analysis of Non-Homogeneous Tapered
Parallelogram Plate with Two Dimensional Thickness and
Temperature Variation

Pratibha Arora

Abstract

Vibration Analysis of Non-Homogeneous Tapered Parallelogram Plate with Two Dimensional Thickness and Temperature Variation

Pratibha Arora

Present paper is a theoretical approach to analyze the vibration of nonhomogeneous parallelogram plate of variable thickness under the effect of two dimensional temperature variations. The plate has clamped boundary conditions on all the four edges. On the basis of classical plate theory the current study may assist the design engineers for making various structures used in aerospace, industry, nuclear plants etc. It is assumed that temperature and thickness of plate varies bi-linearly while density varies (due to non-homogeneity) parabolic in X-direction. To obtain frequency equation the Rayleigh-Ritz method is used. The frequency for first two modes of vibration is calculated for different values of aspect ratio, thermal gradient, taper constants and skew angle.