弹性地基上圆板在轴对称载荷作用下的迭代解

提出了弹性地基上圆板承受轴对称载荷作用弯曲问题的一种新的解法－迭代法。文中导出了迭代过程的一般公式，并给出了关于收敛性的一般说明。未方法简单可靠，能收敛于精确解，可直接计算弹性地基圆板在轴对称载荷作用下的弯曲问题。文后给出算例，只二次迭代即得到了满意的结果。

Successive Solution for Bending of Circular Thin PlateLoaded by Axial Symmetrical Force on Elastic Foundation

In this paper,a new method,the successive substitution method,is presented for bending of cir-cular thin plate loaded by axial symmetrical force on elastic foundation. By this method, the generalformula is obtained for the process of successive substitution,and the convergence of the successivesubstitution method is proved.The method introduced by this paper is simple and reliable.And it canconverge on the exact solution. It can also be applied directly to the bending of circular thin plate withelastic foundation. Numerical example is given at the end of this paper,it indicates satisfactory resultsfor only two times successive substitution.