重力坝三滑裂面等安全系数深层抗滑稳定计算方法

Calculation Method for Stability of Deep Anti-Sliding with Three Sliding Planes Under the Same Safety Factor of Gravity Dam

重力坝三滑裂面等安全系数深层抗滑稳定计算模型是在3个滑裂面上分别建立刚体极限平衡方程,将分界滑裂面倾角、抗力作用方向、安全系数作为未知变量,通过迭代计算求解等安全系数极小值。双斜面与三滑裂面抗滑稳定计算结果对比分析表明:该三滑裂面模型不仅更贴近工程实际情况、分界滑裂面满足力学平衡,而且安全系数最小值与边界条件唯一对应、极值求解方法过程更合理可靠。

By using rigid limited equilibrium condition on three sliding planes, the computing model of stability against deep sliding with three sliding planes under the same safety factor of gravity dam is established, in which, the angles of sliding planes, the direction of resistive force between wedges and the safety factors are brought into as the unknown values. The minimum of same safety factor is solved by iteration method. The comparison between the calculation results of stability against deep sliding with two or three sliding planes shows that the model not only closes to real project and meets mechanics equilibriums on the sliding plane between wedges, but also defines only minimum value of safety factor correspondence to boundary conditions and solves the limit value more reliable and reasonable.