三维多层地基的递归分析方法

Recursive analysis for three-dimensional multi-layered subgrade

为进行层状地基的力学行为分析,基于弹性力学基本方程,考虑地基土体的层状和各向异性的特性,采用一维离散、二维解析的有限层元技术,以土体层元界面上的应力和位移为基本状态变量,建立了三维线弹性问题层元的基本递归方程.根据层元界面上状态变量的连续性条件,建立了多层线弹性体系的广义递归方程,并给出了计算方法和算例.计算方法将半解析技术同状态方程矩阵传递求解技术有机的结合起来,为同类问题的求解提供了一个简便、可行、有效的方法.

By using the essential formula of the elastic theory, taking into consideration the layered and anisotropic characteristics of the foundation mass, adopting the finite layer element technique that one dimension separating, and two dimensions analytical approaching, taking the stresses and displacements as basic status variables on boundary of the layer element, essential recursive equations are established for three-dimensional linear-elastic layered elements. According to the continuous conditions on boundary, a generalized recursive method is brought forward for the three dimensions multi-layered linear-elastic body.