基于积分法的均质边坡稳定性区间分析

为了考虑岩土体材料自身强度参数的随机性对边坡稳定性的影响,采用边坡稳定积分法代替传统条分法,避免了条分法中土条数目不同带来的计算误差,并利用区间分析理论,充分考虑岩土体抗剪强度参数的随机性,得出了土体参数在一定范围内变化情况下的区间安全系数表达式及浸水条件下边坡的区间安全系数表达式,并通过Matlab语言进行程序的编制。计算算例表明:常规方法求得的安全系数包含在此方法所求的区间范围内,体现了此方法对均质边坡的计算结果正确合理,得出的区间结果具有一定的实际工程意义。

Interval analysis of homogeneous slope stability based on integral method

In order to consider the influences of strength parameter''s randomness of rock-soil body materials on slope stability, the traditional slice method was replaced by the slope stability integral method, which could avoid calculation errors caused by the different soil slices in the slice method. The interval analysis theory was utilized with full consideration in the randomness of shear strength parameters of rock-soil body in order to obtain the equations of interval safety coefficient under a certain range of soil parameters and slope interval safety coefficient under the condition of submerging. The Matlab was used to compile the programs. The numerical example showed that, the safety factor obtained by the conventional method was included in the value range obtained by this method, which showed that the method was reasonable for the homogeneous slope, and the interval results were of practical engineering significance.