Natural Vibration of Square Plate with Circular Variation in Thickness

In this paper, the authors study natural vibration of non-uniform and non-homogeneous square plate on clamped boundary condition. The authors characterize circular variation in thickness in x-direction and bi-linear temperature variation along both the axes. For non-homogeneity, the author viewed linear variation in density parameter along x-direction. Rayleigh–Ritz technique has been applied to obtained frequency equation and first two modes of vibration of square plate for different values of taper constant, non-homogeneity constant and temperature gradient. All the results are presented in tabular form.