NON-LINEAR THICKNESS VARIATION ON EXPONENTIALLY THERMAL INDUCED VIBRATION OF A NON-HOMOGENEOUS RECTANGULAR PLATE

The main objective of the present investigation is to study the effect of non-homogeneity on exponentially thermally induced vibration of rectangular plate of non-linear thickness variation on the basis of classical plate theory. Following Levy’s approach, the fourth-order differential equation governing the motion of such plates of non-linear varying thickness with exponentially temperature distribution and non-homogeneity variation has been solved by using Rayleigh Ritz method. Yet the Rayleigh Ritz method provides an approximate solution to the problem but it is convenient as well as an authentic one in the field of vibration-related problems. Frequency parameter is calculated for first two modes of vibration for clamped plate, for various values of thermal gradient, taper constants and non-homogeneity constant for fixed value of aspect ratio. Results are presented in tabular form.