相关随机变量拉丁超立方抽样及隧道掌子面稳定性概率分析  

Latin Hypercube Sampling for Relevant Ramdom Variables andProbabilistic Analysis of Tunnel Face Stability

作　　者：章从旭 蓝元盛 李斌[2] ZHANG Congxu;LAN Yuansheng;LI Bin(Road&Bridge International Co.,Ltd.,Beijing 100027,China;School of Transportation and Logistics Engineering,Wuhan University of Technology,Wuhan 430063,Hubei,China)

机构地区：[1]中交路桥建设有限公司,北京100027 [2]武汉理工大学交通与物流工程学院,湖北武汉430063

出　　处：《重庆交通大学学报（自然科学版）》2023年第3期52-58,共7页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：中交路建科技研发项目(ZJLJ-2019-14);国家自然科学基金项目(51608407)。

摘　　要：总结了4种不同类型的相关随机变量拉丁超立方抽样原理,通过Python语言实现各种情况的相关随机变量拉丁超立方抽样;基于拉丁超立方抽样的样本,采用FLAC3D软件,对隧道掌子面稳定性进行确定性分析,统计了失效概率。结果表明:采用拉丁超立方抽样可以在满足计算精度、提高计算效率的同时,大大减少不确定性分析所需的样本数量。The Latin hypercube sampling principles of four different types of relevant random variables were summarized and Latin hypercube sampling of relevant variables in various situations was realized through Python language.FLAC 3D was utilized to perform deterministic analysis of tunnel face stability and calculate the failure probability based on the obtained samples generated by Latin hypercube sampling.The results show that Latin hypercube sampling can greatly reduce the number of samples required for uncertainty analysis while meeting the required computational accuracy and improving computational efficiency.

关 键 词：隧道工程 岩土工程 相关随机变量 标准正态分布 

分 类 号：U452[建筑科学—桥梁与隧道工程] TU432[交通运输工程—道路与铁道工程]