摩根斯坦-普莱斯法非微分形式求解边坡安全系数的研究(英文)

Study of safety factor based on the non-differential form of Morgenstern-Price Method

极限平衡法(LEM)是分析边坡稳定性的主要方法,摩根斯坦-普莱斯法是LEM中最严格的方法,适用于求解任意形状滑裂面的安全系数.研究改进了非微分形式的M-P法,使其达到了一般通用型的要求,使得求解安全系数的M-P法通俗易懂.引用ACADS考核题检验了算法的正确性,通过灵敏度分析研究条间力函数对于安全系数的影响.

Limit equilibrium method （LEM） is the main method in slope stability analysis. For the regular slipsurface, more reasonable factor of safety can be derived by the Morgenstern-Price Method, which is the most rigorous LEM. This paper used un-differential form to design a program. In this program, the un-differential form is re-modified to reach the universality of Morgenstern-Price Method. The modification is proved to be true by the ACADS examination examples. The influence of f（x） to Fs is studied by sensitivity analysis.