摘要
将Copula函数与高效蒙特卡洛方法结合,提出了含相关随机变量的边坡可靠度高效分析方法。以两个岩质边坡稳定性问题为例验证了所提方法的有效性。结果表明,该方法相比于直接蒙特卡洛方法在保证边坡失效概率的准确性的同时计算效率更高。Copula函数可以构造出具有不同相关结构的岩土体参数的联合概率分布,与高效蒙特卡洛方法(即蒙特卡洛重要抽样方法和子集模拟)结合能高效地处理含多种相关随机变量的边坡可靠度计算问题,相比于现行的Nataf变换方法结果更能体现岩土边坡真实稳定性。此外,该方法也能高效地计算含有复杂的隐式功能函数的边坡可靠度,研究成果拓展了高效蒙特卡洛方法在边坡可靠度分析中的应用。
In this paper,the copula function is combined with efficient Monte Carlo Method,methods which can efficiently analyze the slope reliability problem involving correlated random variables are proposed.Two rock slope stabilities are studied to verify the effectiveness of the proposed methods as examples.The results show that these methods are more efficient than the direct Monte Carlo Method and the accuracy of the results is guaranteed.Based on the copula function which can be used to construct the joint distribution of different related structural parameters of rock and soil mass,efficient Monte Carlo Method(Monte Carlo important sampling method and subset simulation)can efficiently deal with the slope reliability problem with correlated random variables.Comparing with the existing Nataf transformation method,the results can reflect real geotechnical slope stability more.In addition,the methods can efficiently analyze the reliability of slope with complex implicit functions.The results expand the application of Monte Carlo important sampling method and subset simulation in slope reliability analysis.
作者
方旭
冯晓波
FANG Xu;FENG Xiao-Bo(State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China;Key Laboratory of Rock Mechanics in Hydraulic Structural Engineerin,Ministry of Education,Wuhan University,Wuhan 430072,China)
出处
《中国农村水利水电》
北大核心
2021年第4期201-206,211,共7页
China Rural Water and Hydropower
基金
国家自然科学基金面上项目(51879204)。
作者简介
方旭(1994-),男,硕士研究生,主要从事水工结构工程可靠度分析方面的研究。E-mail:928490210@qq.com;通讯作者:冯晓波(1973-),男,博士,主要从事渠系建筑物结构研究。E-mail:494619371@qq.com。
