基于Copula相依模型的地铁结构安全可靠性分析

doi:10.16265/j.cnki.issn1003-3033.2019.08.026

中国安全科学学报 ›› 2019, Vol. 29 ›› Issue (8): 164-171.doi: 10.16265/j.cnki.issn1003-3033.2019.08.026

基于Copula相依模型的地铁结构安全可靠性分析

刘文¹, 刘文黎^**1, 翟世鸿² 教授级高工

1 华中科技大学土木工程与力学学院,湖北武汉 430074;
2 中交第二航务工程局有限公司,湖北武汉 430040

收稿日期:2019-04-25 修回日期:2019-06-24 发布日期:2020-10-21
通讯作者: ** 刘文黎(1989—),男,湖北洪湖人,博士研究生,主要研究方向为地铁及隧道安全管理。E-mail:newheny2014@hotmail.com。
作者简介:刘文 (1985—),男,湖北恩施人,博士研究生,主要研究方向为建筑施工技术及质量管理,建筑施工安全技术,建筑设施安全管理。E-mail:379047775@qq.com。
基金资助:
国家自然科学基金资助(71801101);教育部博士后基金资助(2018M632880)。

Metro structural safety and reliability analysis based on Copula dependency model

LIU Wen¹, LIU Wenli¹, ZHAI Shihong²

1 School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan Hubei 430074, China;
2 Second Harbor Engineering of China Communications Construction Limited Liability Company, Wuhan Hubei 430040, China

Received:2019-04-25 Revised:2019-06-24 Published:2020-10-21

摘要/Abstract

摘要： 为提高地铁运营期的安全性,利用Copula相依性建模理论,研究时变效应下临近环境变化对地铁结构安全的影响。采用结构可靠度指标描述运营期地铁结构的安全性,通过Copula相依性建模理论描述地铁运营期监测指标参数之间的相关性,构建净空收敛(CD)和差异沉降(DS)二元离散时变相依模型,并以武汉地铁2号线某区间为工程背景,验证该模型的准确性。结果表明:Weibull分布和Frank Copula函数分别为最优边缘分布函数和Copula函数;Gaussian Copula并非最优Copula函数,传统的Gaussian Copula函数描述的参数相关性并不太准确;利用构建的Copula模型分析地铁CD和DS值,实现时间效应下盾构地铁结构安全性变化的敏感捕捉;针对分析结果可制定相应运营期风险控制专项方案。

关键词: 运营期地铁, Copula函数, 时间效应, 相依性建模, 可靠性分析

Abstract: In order to improve metro operation safety, Copula dependency modeling theory is used to study influences of adjacent environmental changes under time-varying effects on metro structural safety. Firstly, structural reliability indicators were adopted to describe its safety during operation. Then based on Copula theory, the correlation between parameters of monitoring indexes during metro operation was described and binary discrete time-varying dependence model of convergence deformation (CD) and differential settlement (DS) was constructed. Finally, the model's accurancy was verified with a section of Wuhan Metro Line 2 as a project backgrround. The results show that Weibull distribution and Frank Copula are the optimal edge distribution function and Copula function respectively while Gaussian Copula is not optimal since traditional Gaussian Copula is not accurate in describing parameters' correlation. Copula model in this study can sensitively capture structure safety changes under time effect by analyzing CD and DS values, thus helping formulate corresponding special operation risk control scheme based on analysis results.

Key words: operational metro, Copula function, time-varying effect, dependency modeling, reliability analysis

中图分类号:

X913.4

刘文, 刘文黎, 翟世鸿. 基于Copula相依模型的地铁结构安全可靠性分析[J]. 中国安全科学学报, 2019, 29(8): 164-171.

LIU Wen, LIU Wenli, ZHAI Shihong. Metro structural safety and reliability analysis based on Copula dependency model[J]. China Safety Science Journal, 2019, 29(8): 164-171.

参考文献

[1] 刘文黎, 吴贤国, 林净怡, 等. 盾构始发端土体加固范围影响参数分析[J]. 科学技术与工程, 2016, 16(22): 105-111.
LIU Wenli, WU Xianguo, LIN Jingyi, et al. Analysis of parameters influencing soil reinforcement effect in launching section [J]. Science Technology and Engineering. 2016, 16(22): 105-111.
[2] LIU Wenli, WU Xianguo, ZHANG Limao, WANG Yanyu. Probabilistic analysis of tunneling-induced building safety assessment using a hybrid FE-copula model[J]. Structure and Infrastructure Engineering, 2017,14(8): 1 065-1 081.
[3] ZHANG Limao, DING Lieyun, WU Xianguo, et al. An improved Dempster-Shafer approach to construction safety risk perception[J]. Knowledge-Based Systems, 2017, 132: 30-46.
[4] ZHANG Limao, WU Xianguo, ZHU Hongping, et al. Perceiving safety risk of buildings adjacent to tunneling excavation: an information fusion approach[J]. Automation in Construction, 2017, 73: 88-101.
[5] 张艺凡, 陈文瑛. 地铁运营突发事件应急响应模式的马尔科夫链分析[J]. 中国安全科学学报, 2015, 25(2): 147-152.
ZHANG Yifan, CHEN Wenying. Markov chain analysis of emergency response models for metro operations [J]. China Safety Science Journal, 2015, 25(2): 147-152.
[6] 黄宏伟, 叶永峰, 胡群芳. 地铁运营安全风险管理现状分析[J]. 中国安全科学学报, 2008, 18(7): 55-62.
HUANG Hongwei, YE Yongfeng, HU Qunfang. Analysis on the current situation of risk management on metro operation safety [J]. China Safety Science Journal, 2008, 18(7): 55-62.
[7] ZHANG Lan, SINGH V P. Trivariate flood frequency analysis using discharge time series with possible different lengths: cuyahoga river case study[J]. Journal of Hydrologic Engineering, 2014, 19(10): 05014012.
[8] TANG Xiaosong, LI Dianqing, ZHOU Chuangbing, et al. Copula-based approaches for evaluating slope reliability under incomplete probability information[J]. Structural Safety, 2015, 52, 90-99.
[9] 王丙苗, 陈三强, 刘文黎, 等. 基于贝叶斯-Copula模型的突发堆载下盾构隧道结构安全性评价[J]. 土木工程与管理学报, 2019, 36(1): 62-70.
WANG Bingmiao, CHEN Sanqiang, LIU Wenli, et al. Safety evaluation of shield tunnel under burst load based on Bayesian-Copula model [J]. Journal of Civil Engineering and Management, 2019, 36(1): 62-70.
[10] TANG Xiaosong, LI Dianqing, ZHOU Chuangbing, et al. Impact of copulas for modeling bivariate distributions on system reliability[J]. Structural Safety, 2013, 44: 80-90.
[11] HUANG Hongwei, ZHANG Yanjie, ZHANG Dongming, et al. Field data-based probabilistic assessment on degradation of deformational performance for shield tunnel in soft clay[J]. Tunnelling and Underground Space Technology, 2017, 67: 107-119.
[12] HUANG Hongwei, SHAO Hua, ZHANG Dongming, et al. Deformational responses of operated shield tunnel to extreme surcharge: a case study[J]. Structure and Infrastructure Engineering, 2017, 13(3): 345-360.
[13] ISO2394-1998, International standard. general principles on reliability for structures [S].
[14] ISO13822-2003, International standard. bases for design of structure-assessment of existing structures [S].

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基于Copula相依模型的地铁结构安全可靠性分析

Metro structural safety and reliability analysis based on Copula dependency model

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