TRANSVERSE VIBRATION OF A QUARTER OF A CIRCULAR PLATE WITH VARIABLE THICKNESS

The Rayleigh-Ritz method has been employed to find the first three fre quencies of free flexural vibration of a plate in the form of a quadra nt of a circle and of thickness varying quadratically with radial dist ance. The results for constant thickness and linearly varying thicknes s have been obtained as special cases. The three edges of the plate ha ve been taken as clamped, simply supported or free. This gives rise to 18 different cases. Previous results are available only for a few sim ple cases of uniform thickness which agree well with our results. Grap hs and tables are given to depict the effect of various parameters on the frequencies and mode shapes.