用传递矩阵法求解多层地基的轴对称问题

本文应用Hankel积分变换,求解单层弹性地基表面在轴对称荷载作用下位移和应力的初始函数解答,然后,利用矩阵传递方法求出多层地基位移和应力的一般表达式,不论弹性层数目多少,都不必求解任何联立方程。根据本文导出的公式编制了微型计算机程序。给出的算例说明了提供方法的正确性。

Solving Axix-Symmetry problems of Loyers by Recurrence Metix Method

By use of the hankel Intergral transform, the initial function solution of single elastic layer subjected to axis-symmery surface Ioad is derived, And then, using the recurrence matrix method, the analytical formulas are presented to study the displacements and stresses of layers.No matter how many soil layers are there, it is not to solve simultaneous equations. Accoding to these formulas, we draw up a computing program of micro-computer. The results of examples show that the method provided is correct