土坡稳定分析通用条分法及其改进

本文简要总结了土坡稳定分析条分法的各种方法,提出了条分法的普遍平衡方程式。对于求解此平衡方程的摩根斯顿-普赖斯法进行了如下改进:1.指出了对多余未知数进行假定时应注意其边界值是固定的,不能任意假定。2.改进了数值计算方法,解决了有时遇到的收敛困难的问题。3.建立了在变分原理基础上的数值计算方法,找出受合理性条件控制的安全系数的上,下限,从而获得了安全系数的严格解。

The Generalized Method of Slices for Slope Stability Analysis and Its Modifications

Based upon a comprehensive study of the various methods of slices for slope stability analysis, the general equilibrium equations have been put forward. Extensions have been made to the Morgenstern-Price method which is known to be a rigorous method for solving the equilibrium equations. They include:1. The argument about the restrictions on the boundary values of the unknown variables when assumptions are made for them.2. A refinement of the numerical process to solve the convergence problems which have occasionally affected other methods in common use.3. The development of a numerical procedure based on the calculus of variations which has made it possible to find the upper and lower bound of the safety factors subjected to the restrictions of physical admissibility. The rigorous solution for the factor of safety has accordingly been obtained.