Quintic splines in vibrations of nonuniform annular plates

Abstract

Free axisymmetric vibrations of annular plates of non-uniform thickness have been studied on the basis of classical theory of plates. The fourth order differential equation governing the transverse motion is solved using the quintic spline interpolation technique. Characteristic equations for plates of linearly varying thickness have been obtained for three combinations of boundary conditions at the inner and outer boundaries. Frequencies, mode shapes and moments have been computed for different values of taper constant and radii ratio, for the first two modes of vibration.