To Study the Vibration of Non-Homogeneous Parallelogram Skew Plate with Circular Variation Thickness and Temperature Effect

Abstract

Analysis of vibration of plates attracts the interest in field of plate structure and its applications in various fields. Tapered Plates with uniform and non-uniform thickness and temperature are generally utilized in vehicle division, aeronautical field, control plants and marine structure etc. Vibration is natural in machines; therefore, every machine has its own vibration level it may be observed as usual or intrinsic. In present paper we investigate the free vibration of isotropic parallelogram plate under the effect of bi-linear thickness and bi-parabolic 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.