Effect of Circular Variation in Thickness and Linear Variation in Density on Vibrational Frequencies

Natural vibration of tapered rectangular plate with exponential variation in non homogeneity

“…An effect of circular variation in thickness on vibrational frequencies of parallelogram plate has been studied by Sharma [9] and obtained first two modes of vibrations for different combinations of plate parameters on clamped edges. Sharma et al [10] also studied the vibration of tapered rectangular plate with linear variation in density and evaluated first two modes of vibration on clamped edges. Khanna and Kaur [11,12] analyzed the free vibration of non uniform (linear and exponential variation in thickness) and non homogeneous (exponential variation in Poisson's ratio) of rectangular plate with temperature (linear and exponential) variation by using Rayleigh Ritz method on clamped boundary condition.…”

Vibration of rectangle plate with variable density and Poisson’s ratio

“…Vibration of circular plate with parabolic thickness, exponential variation in density and Young's modulus is discussed in [17] using Ritz method. The effect of various plate parameters [18,19] on vibration of skew and rectangular plate is presented, on clamped edge, using Rayleigh Ritz method. The temperature effect on vibration of rectangular plate made of non-homogeneous material, with variable thickness, is discussed in [20,21] using Classical plate theory.…”