Effect of Thermal Gradient on Vibration of Visco-Elastic Plate with Thickness Variation

Anupam Khanna,Ashish Kumar Sharma

doi:10.5923/j.ajcam.20120201.06

Abstract

Visco- Elastic Plates are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. Plates with variable thickness are of great importance in a wide variety of engineering applications i.e. nuclear reactor, aeronautical field, naval structure, submarine, earth-quake resistors etc. The analysis is presented here is to study the two dimensional thermal effect on vibration of visco-elastic square plate of variable thickness. Temperature & thickness both vary linearly in one direction and parabolically in another direction. A frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Both the modes of the frequency are calculated by the latest computational technique, MATLAB, for the various values of taper parameters and temperature gradient.

Highlights

Since new materials and alloys are in great use in the construction of technically designed structures the application of visco-elasticity is the need of the hour
With the advancement of technology, the requirement to know the effect of temperature on visco-elastic plates of variable thickness has become vital due to their applications in various engineering branches such as nuclear power plants, engineering, industries etc
In an up-date survey of literature, authors have come across various models to account for non-homogeneity of plate materials proposed by researchers dealing with vibration but none of them consider non-homogeneity with thermal effect on visco-elastic plates

Summary

Introduction

Since new materials and alloys are in great use in the construction of technically designed structures the application of visco-elasticity is the need of the hour. A.K. Gupta and Anupam Khanna[1], studied the Thermal Effect on Vibrations of Parallelogram Plate of. A.K. Gupta and Anupam Khanna[2], studied the Vibration of clamped visco-elastic rectangular plate with parabolic thickness variations. A.K. Gupta and Anupam Khanna[3], has been studied on Free vibration of clamped visco-elastic rectangular plate having bi-direction exponentially thickness variations. Khanna[4], studied the, Vibration of Viscoelastic rectangular plate with linearly thickness variations in both directions.

Equation of Motion and Analysis

Result and Discussion

Conclusions