基于连续随机变量函数的岩质边坡稳定分析

考虑到岩质边坡相关参数的随机性,基于连续随机变量函数,假定滑动面摩擦角φ、表面黏聚力c等服从正态分布;张力裂缝中的水深Zw、地震加速度比α等服从指数分布,推导出岩质边坡稳定性安全系数分布公式;并使用Matlab演算模拟;其结果与蒙特卡洛模拟(MC)结果基本一致。敏感性分析显示滑动面摩擦角对于有平面滑动的岩质边坡稳定性影响最大。

Rock slope stability analysis based on continuous random variables function

This study considering the randomness of the parameters related rock slope , based on the continuous random variable functions, assume that friction angle of sliding surface and apparent cohesion which are modeled using a truncated normal probability distribution function and the depth of water in tension cracks and earthquake acceleration ratio which are considered to have truncated exponential probability distribution function ,and the rock slope stability safety coefficient distribution formula is deduced, and using Matlab into calculation simulation. The results are compared with the Monte Carlo (MC) simulation. Comparison of the results indicates that the error is small. The results of sensitivity analysis show that the friction angle of sliding surface is the most effective parameter in rock slope stability with plane sliding.