Vibration of Orthotropic Circular Plate with Thermal Effect in Exponential Thickness and Quadratic Temperature Distribution

Authors:

Anukul De ,D. Debnath ,

DOI NO:

https://doi.org/10.26782/jmcms.2013.07.00002

Keywords:

orthotropic circular plate ,quadratic temperature distribution,Frobenius method,

Abstract

The object of this paper is to investigate the vibration problem of orthotropic circular plate with exponentially varying thickness in the radial direction subject to quadratic temperature distribution. The equation of equilibrium for the above mentioned plate is obtained. The differential equation of equilibrium is solved using the Frobenius method. The frequency equation for clamped plate and simply supported plate are obtained. For both the boundary condition the variations of deflection with radial distance are shown graphically for first mode of vibration.

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