边坡矢量和分析法最危险滑面搜索研究  

Searching for the Most Dangerous Failure Surface of Slope Based on the Vector Sum Analysis Method

作　　者：杨超[1] 董立山[2] 申俊敏[2] 徐光黎[1] 李丽萍[1] 

机构地区：[1]中国地质大学工程学院,湖北武汉430074 [2]山西省交通科学研究院,山西太原030006

出　　处：《安全与环境工程》2014年第3期28-35,共8页Safety and Environmental Engineering

基　　金：山西省交通建设科技项目(编号:11-2-15)

摘　　要：边坡矢量和分析法主要考虑了力的矢量特征,在求得边坡真实的应力情况下,将潜在滑面的总抗滑力矢量与总下滑力矢量在边坡整体下滑趋势方向上投影的比值作为边坡稳定性安全系数。本文首先对边坡矢量和分析法的基本原理和安全系数表达式进行了介绍;然后在此基础上,将指定滑面入口和出口搜索最危险圆弧滑面并对其进行优化处理的方法运用到矢量和分析法最危险滑面的搜索中;最后通过两个算例进行了验证分析。算例的分析结果表明:使用该方法搜索得到的边坡最危险滑面在位置上与极限平衡法中Morgenster-Price法以及强度折减法得到的滑带虽然有一定差别,但得到的边坡稳定性安全系数十分相近,相对误差很小,从而验证了该方法在求取边坡稳定性安全系数中的适用性和准确性。该矢量和分析法最危险滑面搜索方法概念清楚,搜索过程简单,能进一步提高结果的准确性,值得进一步研究和应用。The vector sum analysis method（VSAM） of slope mainly considers the vector characteristics of forces;on the basis of obtaining the real stress distribution of slope, the safety factor of the slope is defined as the ratio of the total anti-sliding force vector to the total sliding force vector as they are both projected on the whole slip direction. Firstly,this paper introduces the fundamental theory of VSAM and the expres- sion of the safety factor, and then incorporates the method of entry and exit specification and its optimiza- tion into VSAM for searching the critical slip surface. Finally, the paper examines the feasibility of the method by two examples. The results of these two examples indicate that, although there are some differ- ences of the critical slip surfaces calculated by VASM,Morgenster-Price method and shear strength reduc- tion method, the safety factors of them are almost the same and their relative errors are very small. The results prove the serviceability and reliability of applying VASM to obtaining the safety factors of slopes. This new method of searching critical slip surface is worth further research and application because it has a clear concept and an easy searching process, which leads to more accurate results.

关 键 词：边坡 矢量和分析法 最危险滑面搜索 安全系数 指定入口与出口 

分 类 号：P642.22[天文地球—工程地质学] TU457[天文地球—地质矿产勘探]