AXISYMMETRIC BENDING OF UNIFORMLY STRESSED ANNULAR PLATES WITH VARIABLE RIGIDITY.

Abstract

In this paper, the problem of axisymmetric bending of uniformly stressed annular plates with rigidity varying as the nth power of the radial co-ordinate is discussed. Exact solutions are obtained in terms of Bessel's and Lommel's functions for a general type of loading. The corresponding solutions are deduced for two cases of loading, namely (i) line loading at the inner edge and (ii) uniformly distributed load over the entire annular plate. In the case of line loading a numerical example is given for annuals with a hole size equal to 1/4 and rigidity varying as 'r'.