Effect of Non-homogeneity on Thermally Induced Vibration of Parallelogram Plate of parabolically Varying Thickness

Authors

  • Arun Kumar Gupta Associate Professor, Department of Mathematics, M.S.College, Saharanpur, U.P., INDIA
  • Kumud Rana Department of Mathematics, M.S.College, Saharanpur, U.P.

Abstract

The paper present here is to study the effect of non-homogeneity on thermally induced vibration of parallelogram plate of parabolically varying thickness. Thermal Induced vibration of such plates has been taken as one dimensional temperature distribution in linear from only. For non-homogeneity of the plate material, density is assumed to vary linearly .Using the method of separation of variables; the governing differential equation is solved. An approximate but quite convenient frequency equation is derived by Rayleigh-Ritz technique with two term deflection function. The frequencies corresponding to the first two modes of vibration has been computed for a clamped parallelogram plate for different values of non -homogeneity constant, aspect ratio, thermal constant, taper constant and skew angle. 

Author Biography

Arun Kumar Gupta, Associate Professor, Department of Mathematics, M.S.College, Saharanpur, U.P., INDIA

Associate Professor, Department of Mathematics, M.S.College, Saharanpur, U.P., INDIA

Downloads

Published

2013-04-15

How to Cite

Gupta, A. K., & Rana, K. (2013). Effect of Non-homogeneity on Thermally Induced Vibration of Parallelogram Plate of parabolically Varying Thickness. Asian Journal of Applied Sciences, 1(1). Retrieved from https://www.ajouronline.com/index.php/AJAS/article/view/45

Issue

Section

Articles

Similar Articles

You may also start an advanced similarity search for this article.