Large Deflection Analysis of Circular Ring Plates under Uniform Transverse Force along the Inner Edge

抄録

Numerical calculations of large deflection of circular ring plates subjected to uniform transverse force along the inner edge, are carried out for three edge conditions and some geometric configurations. Iterative procedure developed by H.B. Keller and E.L. Reiss is applied here, and a finite difference method is used to solve the set of differential equations, which appears in each step of iterative procedures. The purposes of this paper are mainly to reveal the limitations of small deflection theory and the limitations of the approximate solutions of large deflection theory. Experimental results are given for the case of the circular ring plates which are clamped along inner and outer edges. These results are quite satisfactory, and the Keller-Reiss method is also proved to be valid for this problem.