|Table of Contents|

Multi-dimensional seismic fragility analysis method of bridge system based on Nataf transformation(PDF)

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2022年01期
Page:
82-92
Research Field:
道路与铁道工程
Publishing date:

Info

Title:
Multi-dimensional seismic fragility analysis method of bridge system based on Nataf transformation
Author(s):
LI Jia-lu1;  REN Le-ping2;  HU Wei3
(1. School of Civil Engineering, Chang'an University, Xi'an 710064, Shaanxi, China; 2. China Construction Third Engineering Bureau Group Co., Ltd., Xi'an 710065, Shaanxi, China; 3. Shaanxi Provincial Transport Planning Design and Research Institute Co., Ltd., Xi'an 710065, Shaanxi, China)
Keywords:
bridge engineering;  structural safety;  seismic fragility;  Nataf transformation;  multi-dimensional performance limit state function
PACS:
U441.4
DOI:
10.19818/j.cnki.1671-1637.2022.01.006
Abstract:
In the framework of multi-dimensional performance limit state theory, the correlation of seismic response parameters of bridge components was considered, and an improved multi-dimensional seismic fragility analysis method of bridge system was proposed by introducing Nataf transformation. Taking a three-span V-shaped continuous girder bridge as an example, the nonlinear dynamic analysis model of the bridge system was established by using OpenSees software, 20 seismic waves were selected from the strong earthquake database of Pacific Seismic Research Center for the incremental dynamic analysis, and the maximum response samples of the bridge structure under earthquake were obtained. The maximum likelihood estimation method was used to obtain the statistical parameters of the bridge component's seismic demand probability model. Combined with the defined bridge component damage index, the seismic fragility of the example bridge multi-dimensional system was analyzed by using the proposed method. Analysis results show that on the basis of considering the correlation between the seismic response parameters of the components and the performance limit states, the proposed method can calculate the fragility of the bridge system without relying on the joint probability density function between the seismic response parameters of the components. When constructing the multi-dimensional limit state equation, the influence deviation of the bridge component failure mode ranking on the multi-dimensional seismic fragility of the bridge system is less than 3%, so the component failure mode ranking has little influence on the fragility analysis result. In any damage state, with the increase of the correlation coefficient between the ground peak acceleration and the limit state, the ratios of the failure probability of the bridge system and the transition pier under the action of earthquake gradually decrease and approach 1, the correlation between the performance limit states of different bridge components becomes weaker, and the area of the system failure domain becomes smaller, resulting in that the failure probability of the bridge system reduces, and the multi-dimensional fragility of the bridge system is closer to the evaluation result when the performance indexes are independent of each other. When the multi-dimensional performance indicators are used, their correlation cannot be ignored, otherwise it will lead to the overestimation of the seismic performance of the bridge structure. 4 tabs, 6 figs, 30 refs.

References:

[1] NIELSON B G, DESROCHES R. Seismic fragility methodology for highway bridges using a component level approach[J]. Earthquake Engineering and Structural Dynamics, 2007, 36(6): 823-839.
[2] 李立峰,吴文朋,黄佳梅,等.地震作用下中等跨径RC连续梁桥系统易损性研究[J].土木工程学报,2012,45(10):152-160.LI Li-feng, WU Wen-peng, HUANG Jia-mei, et al. Study on system vulnerability of medium span reinforced concrete continuous girder bridge under earthquake excitation[J]. China Civil Engineering Journal, 2012, 45(10): 152-160.(in Chinese)
[3] 宋 帅,钱永久,吴 刚.基于多元Copula 函数的桥梁体系地震易损性分析方法研究[J].振动与冲击,2017,36(9):122-129.SONG Shuai, QIAN Yong-jiu, WU Gang. Seismic fragility analysis of a bridge system based on multivariate Copula function[J]. Journal of Vibration and Shock, 2017, 36(9): 122-129.(in Chinese)
[4] 郑凯锋,陈力波,庄卫林,等.基于概率性地震需求模型的桥梁易损性分析[J].工程力学,2013,30(5):165-171,187.ZHENG Kai-feng, CHEN Li-bo, ZHUANG Wei-lin, et al. Bridge vulnerability analysis based on probabilistic seismic demand models[J]. Engineering Mechanics, 2013, 30(5): 165-171, 187.(in Chinese)
[5] 刘骁骁,吴子燕,王其昂.基于多维性能极限状态的概率地震需求分析[J].振动与冲击,2017,36(1):181-187,206.LIU Xiao-xiao, WU Zi-yan, WANG Qi-ang. Probabilistic seismic demand analysis based on multi-dimensional performance limit states[J]. Journal of Vibration and Shock, 2017, 36(1): 181-187, 206.(in Chinese)
[6] 钟 剑,任伟新,万华平,等.两水准地震设防下的斜拉桥体系易损性分析[J].中国公路学报,2017,30(12):101-109.ZHONG Jian, REN Wei-xin, WAN Hua-ping, et al. System fragility analysis for cable-stayed bridges under two level seismic hazard[J]. China Journal of Highway and Transport, 2017, 30(12): 101-109.(in Chinese)
[7] 任乐平.基于模糊失效准则的V腿连续梁桥地震易损性及风险评估[D].西安:长安大学,2020.REN Le-ping.Seismic fragility and risk assessment of V-shaped continuous girder bridge based on fuzzy failure criterion[D]. Xi'an: Chang'an University, 2020.(in Chinese)
[8] REN Le-ping, ZHANG Gang, ZHANG Yong-fei, et al. Seismic fragility analysis of V-shaped continuous girder bridges[J]. KSCE Journal of Civil Engineering, 2020, 24(3): 835-846.
[9] CHOI E, DESROCHES R, NIELSON B. Seismic fragility of typical bridges in moderate seismic zones[J]. Engineering Structures, 2004, 26(2): 187-199.
[10] PAN Y, AGRAWAL A K, GHOSN M. Seismic fragility of continuous steel highway bridges in New York State[J]. Journal of Bridge Engineering, 2007, 12(6): 689-699.
[11] YANG C S W, WERNER S D, DESROCHES R. Seismic fragility analysis of skewed bridges in the central southeastern United States[J]. Engineering Structures, 2015, 83(1): 116-128.
[12] MUNTASIR BILLAH A H M, SHAHRIA ALAM M. Seismic fragility assessment of highway bridges: a state-of-the-art review[J].Structure and Infrastructure Engineering, 2015, 11(6): 804-832.
[13] TAVARES D H, SUESCUN J R, PAULTRE P, et al. Seismic fragility of a highway bridge in Quebec[J]. Journal of Bridge Engineering, 2013, 18(11): 1131-1139.
[14] RAMANATHAN K, PADGETT J E, DESROCHES R. Temporal evolution of seismic fragility curves for concrete box girder bridges in California[J]. Engineering Structures, 2015, 97(1): 29-46.
[15] WU Wen-peng, LI Li-feng, SHAO Xu-dong. Seismic assessment of medium-span concrete cable-stayed bridges using the component and system fragility functions[J]. Journal of Bridge Engineering, 2016, 21(6): 04016027.
[16] 宋 帅,吴元昊,徐佰顺,等.斜拉桥系统地震易损性评估的Pair Copula技术[J].工程力学,2021,38(9):110-123.SONG Shuai, WU Yuan-hao, XU Bai-shun, et al. Pair Copula technique of seismic vulnerability assessment of cable-stayed bridge system[J].Engineering Mechanics, 2021, 38(9): 110-123.(in Chinese)
[17] 吴文朋,李立峰.桥梁结构系统地震易损性分析方法研究[J].振动与冲击,2018,37(21):273-280. WU Wen-peng, LI Li-feng. System seismic fragility analysis methods for bridge structures[J]. Journal of Vibration and Shock, 2018, 37(21): 273-280.(in Chinese)
[18] CIMELLARO G P, REINHORN A M. Multidimensional performance limit state for hazard fragility functions[J].Journal of Engineering Mechanics, 2011, 137(1): 47-60.
[19] 孙鸿宾,吴子燕,刘骁骁.基于多维性能极限状态的结构易损性分析[J]工程力学,2013,30(5):147-152.SUN Hong-bin, WU Zi-yan, LIU Xiao-xiao. Multidimensional performance limit states for structural fragility estimation[J]. Engineering Mechanics, 2013, 30(5): 147-152.(in Chinese)
[20] 韩建平,周帅帅.考虑非结构构件损伤的钢筋混凝土框架建筑多维地震易损性分析[J].地震工程与工程振动,2020,40(1):39-48.HAN Jian-ping, ZHOU Shuai-shuai.Multi-dimensional seismic fragility analysis of reinforced concrete framed building considering damage of non-structural components[J]. Earthquake Engineering and Engineering Dynamics, 2020, 40(1): 39-48.(in Chinese)
[21] 单德山,顾晓宇,董 俊,等.基于可靠度的桥梁构件三维地震易损性分析[J].西南交通大学学报,2019,54(5):885-896,882.SHAN De-shan, GU Xiao-yu, DONG Jun, et al. 3D seismic vulnerability analysis of bridge structural components based on reliability[J]. Journal of Southwest Jiaotong University, 2019, 54(5): 885-896, 882.(in Chinese)
[22] 董 俊,曾永平,单德山.高墩大跨铁路桥梁构件三维地震易损性分析[J].哈尔滨工业大学学报,2019,51(3):141-149.DONG Jun, ZENG Yong-ping, SHAN De-shan. Three-dimensional seismic vulnerability analysis of long-span railway bridge components with high pier[J]. Journal of Harbin Institute of Technology, 2019, 51(3): 141-149.(in Chinese)
[23] WANG Qi-ang, WU Zi-yan, LIU Shu-kui. Multivariate probabilistic seismic demand model for the bridge multidimensional fragility analysis[J].KSCE Journal of Civil Engineering, 2018, 22(9): 3443-3451.
[24] 黄小宁,杜永峰,李 慧.多维性能极限状态平面不规则结构易损性分析[J].振动.测试与诊断,2017,37(3):560-566,632.HUANG Xiao-ning, DU Yong-feng, LI Hui.Multidimensional performance limit states for fragility analyze of plane irregular structure[J]. Journal of Vibration, Measurement and Diagnosis, 2017, 37(3): 560-566, 632.(in Chinese)
[25] 刘骁骁,吴子燕,王其昂.基于多维性能极限状态的概率地震需求分析[J].振动与冲击,2017,36(1):181-187,206.LIU Xiao-xiao, WU Zi-yan, WANG Qi-ang.Probabilistic seismic demand analysis based on multi-dimensional performance limit states[J].Journal of Vibration and Shock, 2017, 36(1): 181-187, 206.(in Chinese)
[26] 贾大卫,吴子燕,何 乡.基于概率-非概率混合可靠性模型的结构地震易损性分析[J].地震工程与工程振动,2021,41(4):90-99.JIA Da-wei, WU Zi-yan, HE Xiang.Structure seismic vulnerability analysis based on probability-non-probability hybrid reliability model[J].Earthquake Engineering and Engineering Dynamics, 2021, 41(4): 90-99.(in Chinese)
[27] CIMELLARO G P, REINHORN A M, BRUNEAU M. Framework for analytical quantification of disaster resilience[J]. Engineering Structures, 2010, 32(11): 3639-3649.
[28] 沈国煜,袁万城,庞于涛.基于Nataf变换的桥梁结构地震易损性分析[J].工程力学,2014,31(6):93-100.SHEN Guo-yu, YUAN Wan-cheng, PANG Yu-tao. Bridge seismic fragility analysis based on Nataf transformation[J]. Engineering Mechanics, 2014, 31(6): 93-100.(in Chinese)
[29] SHOME N, CORNELL C A, BAZZURRO P, et al. Earthquakes, records, and nonlinear responses[J]. Earthquake Spectra, 1998, 14(3): 469-500.
[30] PADGETT J E, NIELSON B G, DESROCHES R. Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios[J]. Earthquake Engineering and Structural Dynamics, 2008, 37(5): 711-725.(in Chinese)

Memo

Memo:
-
Last Update: 2022-03-20