边坡三维稳定分析的数学规划法

Mathematical Programming Method for the Stability Analysis of Three-dimensional Side Slope

在有限元法求解应力的基础上 ,采用数学规划法分析边坡稳定的问题。通过数学规划法与有限元法的结合 ,不但满足边坡力的平衡条件 ,而且考虑了材料的应力—应变关系 ,计算时不需做任何假定 ,使得计算结果更加精确合理。给出了计算例题及工程实例 ,计算结果较理想 ,表明用该方法解决三维边坡稳定分析问题是可行的。

Based on Finite Element Method (FEM), the stability of side slope is analyzed using the Mathematics Programming Method (MPM). Combined with the MPM and FEM, the method in this paper can not only satisfy the force equilibrium condition of side slope, but also consider the relationship between stress and strain of the materials. It makes the computing result more exactly without any assumption. In the end, an engineering example is presented. The reasonable result indicates that it is feasible to use this method to solve the stability analysis of three-dimensional side-slope.