用积分变换及边界积分方法求解多层地基的静力问题

本文利用积分变换及矩阵递推方法得到了任意n层弹性体平面应变及轴对称问题的Mindlin解。再把此解作为基本解,利用Somigliana关系式,得到计算多层弹性体内部任意点位移的简便方法。利用此法很容易编制程序,且具有较高的计算精度与速度。

The Integral Transform and Boundary Integral Techniques for Solving the Static Problem of Multilayer Subsoils

In this paper, the Mindlin's solution of plane strain and axis-symmetrical problems within an n-layer elastic system is obtained by the integral transform technique and the recurrence laws of matrices. Using this solution as the fundamental solution, a simple method was" established to calculate displacements in any internal point within multi-layered elastic medium by the somigliana formula. By this method, the progrmming is easy, while the accuracy and the speed of computation are high.