2025-4-6- Monday
HomeIntroductionEditorial boardContact usChinese
Home > Archive>Volume 49, Issue 5, 2021 >624-633. DOI:10.11908/j.issn.0253-374x.20347
PDF HTML XML Export Cite reminder
Failure Probability Analysis of Service Long-Span Bridge Girder Based on Optimal R-Vine Gaussian Copula Model
CSTR:
[cstr]
Author:
Affiliation:

1.School of Civil Engineering and Transportation， South China University of Technology， Guangzhou， 510641， China;2.School of Civil Engineering and Mechanics， Lanzhou University，Lanzhou 730000， China;3.Key Laboratory of Mechanics on Disaster and Environment in Western China of the Ministry of Education， Lanzhou University， Lanzhou 730000， China

Clc Number:

TU391;TU392.5

  • Article
    • | |
  • Metrics
    • |
  • Reference [16]
    • |
  • Related [20]
    • | | |
  • Comments
    Abstract:

    Considering the correlation among the failure modes of the multiple control monitoring points from the existing long-span bridge girder， a novel optimal R-vine Gaussian copula data fusion method for failure probability analysis is presented. Based on the extreme strain information， an optimal R-vine Gaussian copula model considering the correlation among the failure modes of the multiple control monitoring points is built by combining the corresponding performance functions， the bivariate pair-Gaussian-copula model and the optimal R-vine model. Further， with the first order second moment method， the failure probability analysis of the existing long-span bridge girder is conducted considering the correlation among the failure modes. The feasibility and application of the method proposed is compared with the other analysis methods based on the monitoring data of the existing bridge. The results show that the optimal R-Vine Gaussian copula information fusion method for the failure probability analysis of long-span bridge girder considering the correlation among failure modes is more reasonable.

    Reference
    [1] 刘月飞， 樊学平. 失效非线性相关的桥梁截面可靠性Vine-Copula数据融合[J]. 同济大学学报（自然科学版）， 2019，47（3）： 315.
    [2] FAN X P， LIU Y F. Time-variant reliability prediction of bridge system based on BDGCM and SHM data[J]. Structural Control and Health Monitoring， 2018， 25：1.
    [3] LIU Y F， FAN X P. Gaussian copula-Bayesian dynamic linear model–based time-dependent reliability prediction of bridge structures considering nonlinear correlation between failure modes [J]. Advances in Mechanical Engineering， 2016， 8（11）： 1.
    [4] 刘月飞. 考虑失效模式和验证模式相关性的桥梁结构体系可靠度分析[D]. 哈尔滨： 哈尔滨工业大学， 2015.
    [5] LIU Y F， FAN X P. Dynamic reliability prediction for the steel box girder based on multivariate Bayesian dynamic Gaussian copula model and SHM extreme stress data[J]. Structural Control and Health Monitoring， 2020， 27（6）： 1.
    [6] 樊学平， 杨光红， 肖青凯， 等. 考虑安全性的桥梁主梁体系可靠性动态藤Copula预测方法[J].同济大学学报（自然科学版）， 2020， 48（2）： 165.
    [7] LIU H B， WANG X R， TAN G J， et al. System reliability evaluation of a bridge structure based on multivariate copulas and the AHP-EW method that considers multiple failure criteria[J]. Applied Sciences， 2020， 10（4）： 1399.
    [8] BEDFORD T， COOKE R M. Probability density decomposition for conditionally dependent random variables modeled by vines [J]. Annals of Mathematics & Artificial Intelligence， 2001， 32（1/4）： 245.
    [9] BEDFORD T， COOKE R M. Vines： a new graphical model for dependent random variables [J]. Annals of Statistics， 2002， 30（4）： 1031.
    [10] NAPOLES O M， COOKE R M， KUROWICKA D. About the number of vines and regular vines on n nodes [R/OL]. [2010-12-01]. https：//www.researchgate.net/publication/297914162About_the_number_of_vines_and_regular_vines_on_n_nodes.
    [11] DISSMANN J， BRECHMANN E C， CZADO C， et al. Selecting and estimating regular vine copulae and application to financial returns[J]. Computational Statistics & Data Analysis， 2013， 59： 52.
    [12] YULE G U， KENDALL M. An introduction to the theory of statistics [M]. 14 ed.Belmont： Charles Griffin & Co， 1965.
    [13] MELCHERS R E， BECK A T. Structural reliability analysis and prediction[M]. New York： John Wiley & Sons， 2018.
    [14] ANG A H S， TANG W H. Probability concepts in engineering planning and design （vol. II） [M]. New York： John Wiley and Sons Ltd， 1984.
    [15] 李英华. 基于长期健康监测的连续刚构梁桥的性能分析与演化规律研究[D]. 广州： 华南理工大学， 2012.
    [16] 王震. 基于桥梁长期健康监测的数据特征分析与可靠度计算[D]. 广州： 华南理工大学， 2014.
    Cited by
    Comments
    Comments
    分享到微博
    Submit
Get Citation

LIU Yiping, XIAO Qingkai, YANG Guanghong, LIU Yuefei, FAN Xueping. Failure Probability Analysis of Service Long-Span Bridge Girder Based on Optimal R-Vine Gaussian Copula Model[J].同济大学学报(自然科学版),2021,49(5):624~633

Copy
Share
Article Metrics
  • Abstract:668
  • PDF: 1061
  • HTML: 316
  • Cited by: 0
History
  • Received:August 28,2020
  • Online: May 24,2021
Article QR Code

Youare the 27167 visitor to this site

Copyright:JOURNAL OF TONGJI UNIVERSITY     Director:The Ministry of Education    The host:Tongji university.

Address:上海市四平路1239号同济大学内    Postcode:200092    TEL:86-21-65982344     E-mail:zrxb@tongji.edu.cn

Supported byBeijing E-Tiller Technology Development Co.,Ltd.