基于有限元的边坡稳定可靠度改进一次二阶矩法研究  

An AFOSM-FEM-based Approach for Evaluating the Reliability of Slope Stability

作　　者：汪安南 林潮宁 李同春[1,2] 齐慧君 邵天成[1] WANG Annan;LIN Chaoning;LI Tongchun;QI Huijun;SHAO Tiancheng(College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing 210024,Jiangsu,China;Collaborative Innovation Center for Water Security and Water Science,Nanjing 210024,Jiangsu,China)

机构地区：[1]河海大学水利水电学院,江苏南京210024 [2]水安全与水科学协同创新中心,江苏南京210024

出　　处：《水力发电》2023年第3期23-28,共6页Water Power

基　　金：国家重点研发计划课题(2022YFC3005403);中国电建集团科技项目(DJ-ZDXM-2021-10);江苏省卓越博士后计划。

摘　　要：为研究岩质边坡岩体参数变化时的稳定性,提出一种基于有限元的边坡稳定可靠度改进一次二阶矩法。首先,针对边坡工程中广泛存在的隐式极限状态函数可靠性问题,定义极限状态函数为滑体极限状态下抗滑力与下滑力的差值,考虑黏聚力及内摩擦角作为随机变量并且服从独立正态分布,求出极限状态方程中随机变量的偏导数;然后,根据改进一次二阶矩法编写了求解边坡失稳概率和可靠指标的计算程序;最后,通过算例验证了所提方法的适用性。某库岸边坡可靠性分析结果表明,该方法具有计算流程简单、便于开展、节省机时、计算精度高的优点。To study the stability of slope under the condition of material parameters variation,a reliability analysis approach based on finite element method(FEM)and advanced first-order second-moment method(AFOSM)is proposed.Firstly,considering the reliability problem of implicit limit state function widely existing in slope engineering,the limit state function is defined as the difference between anti-sliding force and sliding force at critical stress state of sliding body,and considering cohesion and friction angle as random variables subjected to independent normal distribution,the partial derivatives of random variables in the limit state equation are derived.Then,based on advanced first-order second-moment method,the program solving the probability and reliability index of slope failure is written.Finally,an example is given to verify the application of the proposed method.The reliability analysis results of the bank slope of a reservoir show that the method has the advantages of simple calculation process,easy to carry out,time-saving and high-precision.

关 键 词：边坡工程 稳定性分析 可靠度 参数随机性 显式极限状态函数 改进一次二阶矩法 有限元 

分 类 号：TU457[建筑科学—岩土工程]