The aim of this study is to resolve outstanding problems in slope stability analysis including high calculation cost, poor critical slip surface search efficiency, and incomplete stability analysis of multistage loess slopes under earthquake action. A new method is proposed using mathematical analysis and optimization methods that comprehensively considers all possible failure modes based on limit equilibrium theory and the pseudo-static method to determine the minimum safety factor and critical slip surface of a multistage loess slope under earthquake action. The feasibility of the proposed method is validated by an example. This study provides an efficient method for analyzing the stability of multistage loess slopes under earthquake action.

本研究旨在解决多期黄土边坡地震作用下计算成本高、临界滑面搜索效率差、稳定性分析不完整等边坡稳定性分析中的突出问题。提出了一种基于极限平衡理论和拟静力法的数学分析和优化方法，综合考虑所有可能的破坏模式，确定地震作用下多级黄土边坡的最小安全系数和临界滑移面。通过算例验证了该方法的可行性。该研究为分析地震作用下多期黄土边坡的稳定性提供了有效的方法。