AXISYMMETRICAL VIBRATION OF A CIRCULAR PLATE WITH EXPONENTIAL THICKNESS VARIATION

The Rayleigh-Ritz method has been used to find the first four frequenc ies, mode shapes and nodal radii for axisymmetric vibration of a circu lar plate when the thickness varies exponentially with the radial dist ance. Results are given for a clamped as well as simply supported boun dary for various values of the parameter controlling the thickness var iation. Convergence is ensured by working out a sufficient number of a pproximations. Comparison has been made with existing results for unif orm thickness and linearly varying thickness. (C) 1996 Academic Press Limited