中文摘要：

在边坡稳定性分析中，以随机角生成的随机曲线为基础，通过对随机过程进行分析和简化，用可以模拟随机曲线的近似曲线代替随机曲线进行最危险滑动面搜索。将这种滑动面搜索的新方法应用于分层土坡中，其中分层土坡分为水平分层、倾斜分层和斜折线分层这几种型式。选择多个算例与现有成果进行对比分析，并单独考虑软弱夹层对滑动面选择有影响的分层土坡，结合已有研究成果，通过实例分析讨论新方法对该类分层土坡进行稳定性分析时滑动面型式的选择。研究结果表明：采用新方法计算出的最小安全系数略小，得到的最危险滑动面也颇接近，可以证明新方法的有效性；该新方法可直接应用于工程实践。

英文摘要：

In stability analysis of slope, as the basis of a random angle generating random curve, approximate curves instead of random curves were used to search the most dangerous sliding surface through analysis and simplification of random process, The new method of searching for sliding surface was applied to layered soil slopes that were divided into several types, including interlayer stratification, inclined stratification and stratification of oblique line. Some examples of layered soil slope were chosen, and when considering separately layered soil slopes with weak interlayer and combining with existing research, the choice of types of sliding surface was analyzed and discussed through the examples of layered slope with weak interlayer to analyse the stability with this new method. The results show that the minimum factor of safety calculated with this method is slightly smaller, and the most dangerous sliding surface gotten from this method is also quite close when compared with the existing results, so it can prove effectiveness of this method and the new method can be directly used in engineering practice.