基于Monte Carlo技术的临界滑面搜索算法的实现及改进

搜索临界滑面是边坡稳定分析的一项重要工作。本文对Venanzlo R Greco提出的Monte Carlo搜索算法进行了改进,增加一条几何合理性条件(除了滑面两端点,滑面与坡面不能相交),增加了方向控制与变自由度机制,这些措施有效地减少了不满足几何合理性条件的试算滑面,保证了搜索过程的准确、高效、稳定。笔者还将此算法加入到自主研发的边坡稳定分析软件ZSlope中,它还可以实时显示整个搜索过程。

Extended algorithm using Monte Carlo techniques for searching general critical slip surface in slope stability analysis

It was important to search the critical slip surface in slope stability analysis. Based on the algorithm suggested by Venanzlo R. Greco, which was extended in this paper, in order to reduce the number of trial slip surfaces which did not meet the condition of geometrical rationality, a condition of geometrical rationality that the slip surface and slope surface had no point of intersection except the two end points of slip surface was added, and the mechanism of movable orientation control and variable degree of freedom of slip surfaces were added too. All the above techniques ensured the accuracy, efficiency and stability of algorithm. The extended algorithm was adopted by the slope stability analysis software ZSlope developed by the authors, and the software could display every real time trial slip surface.