边坡稳定性分析改进的径向移动算法研究

Improved radial movement optimization algorithm for slope stability analysis

边坡非圆弧临界滑动面搜索是边坡稳定性计算中的一个关键问题,其实质是找到一条安全系数最小的滑动路径。采用新的全局最优化算法——径向移动优化算法搜索路径相对其他算法具有快速、存储空间小、计算简单等优势,但却存在搜索结果不稳定的现象,为克服这个问题,对其数据结构进行调整,提出了改进的径向移动算法,使路径搜索趋于稳定。搜索到的滑动面路径对应的安全系数采用不平衡推力法进行计算,在可行性分析的基础上,采用二分法对安全系数快速、精确地求解。通过一个水库岸坡的算例计算,验证了改进的径向移动算法用于非圆弧临界滑动面搜索的有效性。又通过分析对比改进的径向移动优化算法和粒子群算法的搜索结果,展示了改进的径向移动算法快速收敛,稳定性高的显著优势。

The search for non-circular slip surface is a key to slope stability analysis, and its essence is to find a slide path with a minimum safety factor. Using radial movement optimization, a new global optimization algorithm, to search a path has advantages in calculation, storage and step, but the result is unstable. To overcome the instability of the algorithm in the searching process, its data structure is adjusted and an improved radial movement algorithm is developed, which make the route search stable. A safety factor corresponding to a searched path is calculated with unbalanced thrust method. Under the premise of feasibility analysis, the dichotomy is employed to solve the safety factor quickly and accurately. Based on a calculation example of a reservoir bank slope, the effectiveness of the improved radial movement algorithm is verified. Analyzing and comparing the search results obtained by improved radial movement optimization algorithm and particle swarm optimization, it is shown that the former is apparently superior to the latter in convergence and stability.