首页 | 本学科首页   官方微博 | 高级检索  
     

含相关非正态变量边坡可靠度分析的子集模拟方法
引用本文:张曼,唐小松,李典庆.含相关非正态变量边坡可靠度分析的子集模拟方法[J].武汉大学学报(工学版),2012,45(1):41-45,53.
作者姓名:张曼  唐小松  李典庆
作者单位:武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072/武汉大学水工岩石力学教育部重点实验室,湖北武汉430072
基金项目:国家自然科学基金重点项目,国家自然科学基金项目,教育部新世纪优秀人才计划
摘    要:提出了分析含相关非正态变量高维小失效概率可靠度问题的子集模拟方法,采用Nataf变换方法成功地解决了输入变量相关时子集模拟方法样本点的模拟问题.编写了基于MATLAB语言的计算程序SUBSETREL,并以岩质边坡稳定可靠度问题为例证明了所提方法的有效性.结果表明:该子集模拟方法能够有效地分析含相关非正态变量高维小失效概率的边坡可靠度问题.子集模拟方法的计算精度和蒙特卡洛模拟方法相当,计算效率远远高于传统的蒙特卡洛模拟方法.此外,该方法在分析含有复杂的隐式及非线性功能函数的边坡可靠度问题方面体现出明显的优越性.研究成果极大地拓展了子集模拟方法在边坡可靠度分析中的应用.

关 键 词:边坡  可靠度  相关非正态变量  Nataf变换  子集模拟方法

Reliability analysis of slope stability involving correlated non-normal variables using subset simulation method
ZHANG Man,TANG Xiaosong,LI Dianqing.Reliability analysis of slope stability involving correlated non-normal variables using subset simulation method[J].Engineering Journal of Wuhan University,2012,45(1):41-45,53.
Authors:ZHANG Man  TANG Xiaosong  LI Dianqing
Affiliation:1,2(1.State Key Laboratory of Water Resources and Hydropower EngineeringScience,Wuhan University,Wuhan 430072,China; 2.Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of EducationMinistry,Wuhan University,Wuhan 430072,China)
Abstract:This paper aims to propose a reliability method named subset simulation(SS) method for estimation of small failure probability in high dimensions of slope stability problems involving correlated non-normal random variables.The Nataf transformation is used to transform the correlated non-normal random variables into the independent standard normal variables,which facilitates the simulation of correlated non-normal samples in failure domain and reliability computation using the SS method.A MATLAB-language based computer program called SUBSETREL is developed to carry out the reliability computations.Two examples of reliability analysis for rock slope stability with plane failure are presented to demonstrate the validity and capability of the proposed method.The results indicate that the proposed SS method can compute small failure probability in high dimensions of rock slope stability involving correlated non-normal random variables accurately and efficiently.Furthermore,the proposed SS method can result in the same accuracy as the traditional Monte Carlo simulations;and its efficiency is significantly higher than the traditional Monte Carlo simulations,which can be considered as a potential method for reliability analysis of slope stability,especially for slope stability involving implicit and nonlinear performance function.These results highly extend the application of the SS method to reliability analysis of slope stability.
Keywords:slope  reliability  correlated non-normal random variables  Nataf transformation  subset simulation method
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号