1.School of Civil Engineering, Hunan University of Technology, Zhuzhou 412007, China;
2.School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China;
3.School of Civil Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;
4.Weidlinger Transportation Practice, Thornton Tomasetti, Inc, New York, USA 10027
The traditional fatigue reliability assessment method does not consider variables correlation.For this reason, the calculation value of fatigue reliability index has low accuracy.Concerning this issue, the orthotropic steel bridge deck (OSBD) detailed stress and ambient temperature data were collected.This study analyzed the correlation between the fatigue load effect variables.On this basis, the Copula function was introduced to establish a joint distribution model, and the issue of multiple integral calculations was solved.The research shows that the details which were close to the roof daily fatigue stress amplitude and numbers of variables have strong correlation.The Gaussian Copula is the optimal connection function for the correlation variables.For U-rib to deck details, after 100 years operation, the fatigue reliability indexes which considering and without considering the variables’ correlation are 5.3 and 6.9.The value of considering variables’ correlation is about 1.3 times to the value of without considering variables’ correlation.When the traffic load growth rate is 3% and 5%, the reliability indexes are reach the target value in 94.6 years and 67.1 years.For U-rib to U-rib details, there have a few influences to consider variables’ correlation.
[ 1 ] 余腾, 胡伍生, 吴杰, 等. 基于小波阈值去噪与EMD分解方法提取润扬大桥振动信息[J]. 振动与冲击. 2019, 38(12)264-270.
Yu peng, Hu wusheng, Wu jie, et al. Extraction of Runyang bridge vibration information based on a fusion method of wavelet threshold denoising and EMD decomposition. Journal of Vibration and Shock, 2019, 38(12)264-270.
[ 2 ] 陈永高, 钟振宇. 基于改进EEMD算法的桥梁结构响应信号模态分解研究[J]. 振动与冲击, 2019, 38(10):28-35.
Chen yonggao, Zhong zhenyu. Modal decomposition of response signals for a bridge structure based on the improved EEMD. Journal of Vibration and Shock. 2019, 38(10):28-35.
[ 3 ]祝志文, 黄炎, 李健朋, 等. 正交异性钢桥面板横隔板弧形切口疲劳评价的热点应力法[J]. 交通运输工程学报, 2018, 18(5):29-38.
Zhu zhiwen, Huang yan, Li jianpeng，et al. Fatigue assessment of floor beam cutout in orthotropic steel bridge deck based on hot-spot stress method [J]. Journal of Traffic and Transportation Engineering 2018, 18(5):29-38
[ 4 ] 朱劲松, 郭耀华. 正交异性钢桥面板疲劳裂纹扩展机理及数值模拟研究[J]. 振动与冲击, 2014, 33(14):40-47.
Zhu jingsong, Guo yaohua. Numerical simulation on fatigue crack growth of orthotropic steel highway bridge deck[J]. Journal of Vibration and Shock, 2014, 33(14):40-47.
[ 5 ] Liu M, Frangopol D M, Kwon K. Fatigue reliability assessment of retrofitted steel bridges integrating monitored data[J]. Structural Safety, 2010, 32(1): 77-89.
[ 6 ] Deng Y, Ding Y L, Li A Q, et al. Fatigue reliability assessment for bridge welded details using long-term monitoring data[J]. Science China Technological Sciences, 2011, 54(12): 3371-3381.
[ 7 ] AASHTO. Standard specifications for highway bridges[S]. Washington, DC: American Association of State Highway and Transportation Officials, 2002.
[ 8 ] BS5400, British Standards Institution. Steel, concrete and composite bridges, part10: Code of practice for fatigue[S],London, 1980
[ 9 ] Liu Y, Zhang H, et al. Fatigue reliability assessment for orthotropic steel deck details under traffic flow and temperature loading[J]. Engineering Failure Analysis, 2016, 71:179-194.
[ 10 ] Tang X S, Li D Q, Zhou C B, et al. Copula-based approaches for evaluating slope reliability under incomplete probability information[J]. Structural Safety, 2015, 52:90-99.
[ 11 ] Tang X S, Li D Q, Zhou C B, et al. Copula-based approaches for evaluating slope reliability under incomplete probability information[J]. Structural Safety, 2015, 52:90-99.
[ 12 ] Karadeniz H. Uncertainty modeling in the fatigue reliability calculation of offshore structures[J]. Reliability Engineering & System Safety, 2001, 74(3):323-335.
[ 13 ] 刘扬, 鲁乃唯, 邓扬. 基于实测车流的钢桥面板
疲劳可靠度评估[J]. 中国公路学报, 2016, 29(5):58-66.
Liu yang，lu naiwei，Deng yang, Fatigue Reliability Assessment of Steel Bridge Decks Under Measured Traffic Flow[J] China Journal of Highway and Transport.2016, 29(5):58-66.
[ 14 ] 祝志文, 黄炎, 向泽,等. 货运繁重公路正交异
性板钢桥弧形切口的疲劳性能[J]. 中国公 路 学 报, 2017, 30(3):104-112.
Zhu zhiwen, Huang yan, Xiang zhe. Fatigue Performance of Floor beam Cutout Detail of Orthotropic Steel Bridge on Heavy Freight Transportation Highway [J]. China Journal of Highway and Transport. 2017, 30(3):104-112.
[ 15 ] Guo T , Frangopol D M , Chen Y . Fatigue reliability assessment of steel bridge details integrating weigh-in-motion data and probabilistic finite element analysis [J]. Computers & Structures, 2012, 112-113(4):245-257.
[ 16 ] Sklar M. Fonctions de répartition à n dimensions et leurs marges[M]. Paris: Publications de l'Institut de Statistique de l'Uni- versité de Paris, 1959: 229-231.
[ 17 ] Nelsen R B. An Introduction to Copulas [M]. 2006.
[ 18 ] Fengler M R, Okhrin O. Managing risk with a realized Copula parameter [J]. Computational Statistics & Data Analysis, 2016, 100(1):131-152.
[ 19 ] Akaike, Hirotugu. A new look at the statistical model identification[J]. Automatic Control IEEE Transactions on, 1974, 19(6):716-723.
[ 20 ] Attema T, Acharige A K, Moralesnápoles O, et al. Maintenance decision model for steel bridges: a case in the Netherlands[J]. Structure & Infrastructure Engineering, 2017.
[ 21 ] 周文晖, 李青, 周兆经. 采用小波多分辨率信号
分解的电能质量检测[J]. 电工技术学 报, 2001, 16(6):81-84.
Zhou wenhui,Li qing, zhou zhao jing.Power Quality Detection Using Wavelet-Multiresolution Signal Decomposition[J]. TRANSACTIONS OF CHINA ELECTROTECHNICAL SOCIETY, 2001, 16(6):81-84.
