TO ANALYSIS THE VIBRATION OF NON-HOMOGENEOUS PARALLELOGRAM SKEW PLATE WITH CIRCULAR VARIATION THICKNESS WITH THERMAL EFFECT

Ashish Kumar Sharma1 and Vijyeta Verma2*

Abstract

The structure of high speed air-craft i.e. supersonic flights, missiles are subjected to high surface temperature and large thermal gradient. These conditions can damage the structure of vehicles. Variation in structures’ characteristics as a result of thermal effect can be observed by changes in frequency of vibration. In present paper we investigate the free vibration of isotropic parallelogram plate under the effect of bi-linear thickness and bi-linear temperature distribution in both directions. The frequency values for the primary two modes of vibration have been calculated for a simply supported parallelogram plate for various values of aspect ratio, , skew angle , thermal gradient and taper constants with the help of MAPLE (today's computational software). The Rayleigh-Ritz technique is used to calculate the frequency equation by two term deflection function.

Keywords:

: vibration, skew plate, thickness, taper constant, thermal gradient, non-homogeneity constant.


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References


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