Indian Journal of Science and Technology

Abstract

The present study is the computational prediction about the effect of sinusoidal varying thickness on the vibrations of non-homogeneous parallelogram plate. Consideration of the plate’s material is visco-elastic with clamped boundary. It is assumed that the temperature varies bi-linearly while the density of the plate’s material varies linearly in one direction due to non-homogeneity. The general equation of motion and consecutive equations are solved by using the Rayleigh-Ritz method. To study the vibrational behavior of parallelogram plate, natural frequency for both the modes of vibration is calculated for different values of parameters and shown in the graphs. All the calculations are carried out for duralumin.
Keywords: Vibration, Taper Constant, Sinusoidal, Thickness Variation, Non-homogeneity, Frequency, Thermal Gradient.