The Rayleigh-Ritz method has been employed to find the first three frequencies of free flexural vibration of a plate in the form of a quadrant of a circle and of thickness varying quadratically with radial distance. The results for constant thickness and linearly varying thickness have been obtained as special cases. The three edges of the plate have been taken as clamped, simply supported or free. This gives rise to 18 different cases. Previous results are available only for a few simple cases of uniform thickness which agree well with our results. Graphs and tables are given to depict the effect of various parameters on the frequencies and mode shapes. [References: 5]
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