凸边坡稳定性分析与优化研究

为了快速、准确地计算凸边坡的稳定性,根据极限平衡原理与瑞典条分法,推导出了凸边坡稳定系数的积分表达式。将凸边坡的破坏按张裂缝位置分为两种形式进行分析,并分别给出了解析解。结合简单边坡的危险面位置范围,根据滑动平衡分析及工程实际,以破裂面位置及滑动圆弧圆心坐标为参数,给出了两种破坏形式下凸边坡危险滑动面的位置范围。给出了最危险滑动面、求解最小稳定系数的计算方法。此外,给出了凸边坡优越性验证、凸边坡优化设计的方法。实例证明,凸边坡在一定条件下比简单边坡更稳定,且在保证稳定性的情况下可减少剥离工程量。

Research on the stability of convex slope

In order to assess the stability of convex slope in a fast and accurate manner, the integral expression of the convex slope stability coefficient was derived, based on the limit equilibrium principle and the Sweden Slice Method. An analytical solution was also put forward, classifying the failure of convex slope into two models according to the location of tensional cracks. Furthermore, according to the balance analysis of the sliding forces and engineering practice, a range of the location of the critical sliding surface under the influence of the two failure models was given, expressed by the coordinates of failure surface location and the center of sliding arc. In this case, methods of calculating the minimum safety factor and locating the center of the critical sliding surface were brought up, as well an approach to verify the superiority of convex slope. To sum up, it was proved by examples demonstrating that a convex slope is more stable than a flat one in a specific condition; in addition, by adopting the convex slope, the volume of waste stripped can be reduced dramatically while ensuring the stability.