基于变分原理的三维土坡稳定分析方法研究及应用

采用变分方法研究了三维非均质土坡的稳定性．并编制了二、三维土坡稳定计算程序。将该程序应用于糯扎渡大坝的稳定计算,得到了各种工况下的安全系数及对应的最危险滑裂面．与传统的极限平衡法计算结果相比较得到了较为理想的解。说明基于变分原理的三维土坡稳定分析方法在实践应用中的合理性。

Research on Method for Three Dimensional Soil Slope Stability Based on Variation Principle

Natural and man-made slopes are often inhomogeneous and their geometry varies in space. Therefore, ignoring the 3-D effects in research is unreasonable. This paper develops a 3-D limit-equilibrium-analysis method based on variation principle. A routine estimating the stability of two and three dimensional inhomogeneous soil slope is developed. By solving dynamic and static stability problem of the Nuo-zhadu Dam, the process provides insight as to the performance of the method. Compared with the other limit-equilibrium-analysis methods, it is shown that the presented 3-D method yields a factor of safety that is generally greater than 2-D method's, thus demonstrates the importance of 3-D analysis.