Seismic vulnerability analysis of tunnel based on modified IDA method
DONG Zhengfang1,2, LIU Ganzhi1, ZENG Fankai3, KANG Shuai1
1.Institute of Geotechnical and Rail Transport Engineering, Henan University, Kaifeng 475004, China;
2.Henan Provincial Research Center of Engineering on Intelligent Construction of Rail Transit, Kaifeng 475004, China;
3.Central China Real Estate Co., Ltd., Zhengzhou 450000, China
Abstract：Here, to study seismic capacity of a tunnel, the probabilistic seismic demand model was obtained with the modified
incremental dynamic analysis (IDA) method.The structural failure probability under each seismic intensity was obtained by combining engineering demand parameters’ limit values with the probabilistic seismic demand model, and the seismic fragility curve of the structure was obtained to evaluate the seismic behavior of the tunnel.Taking a typical underground pipe gallery and a shield tunnel as examples, their finite element models were established using SAP2000 software, and 12 working conditions were set up to discuss effects of site type, buried depth and section size on seismic capacity of tunnels with different structure types.The results showed that site type has the largest influence on damage degree of tunnel structure, the structural danger degree of the site type IV is the largest; tunnel structure has better seismic capacity in its elastic-plastic working stage; tunnel structure with large buried depth is more dangerous than that with small buried depth; tunnel structure with large cross-section is more dangerous than that with small cross-section.
董正方，刘淦之，曾繁凯，康帅. 基于修正IDA法的隧道地震易损性分析[J]. 振动与冲击, 2021, 40(17): 106-115.
DONG Zhengfang, LIU Ganzhi, ZENG Fankai, KANG Shuai. Seismic vulnerability analysis of tunnel based on modified IDA method. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(17): 106-115.
［1］张桂欣，孙柏涛，陈相兆，等.北京市建筑抗震能力分类及地震灾害风险分析［J］.地震工程与工程振动，2018, 38(3): 223-229.
ZHANG Guixin, SUN Baitao, CHEN Xiangzhao, et al.Seismic capacity classification of buildings and seismic disaster risk analysis in Beijing City［J］.Earthquake Engineering and Engineering Dynamics, 2018, 38(3): 223-229.
［2］陈力波，郑凯锋，庄卫林，等.汶川地震桥梁易损性分析［J］.西南交通大学学报，2012, 47(4): 558-566.
CHEN Libo, ZHENG Kaifeng, ZHUANG Weilin, et al.Analytical investigation of bridge seismic vulnerability in Wenchuan Earthquake ［J］.Journal of Southwest Jiaotong University, 2012, 47(4): 558-566.
［3］何浩祥，李瑞峰，闫维明.基于多元模糊评定的桥梁综合地震易损性分析［J］.振动工程学报，2017, 30(2): 270-279.
HE Haoxiang, LI Ruifeng, YAN Weiming.Bridge seismic fragility analysis method based on multiple fuzzy evaluation ［J］.Journal of Vibration Engineering, 2017, 30(2): 270-279.
［4］JERNIGAN J B, HWANG H.Development of bridge fragility curves ［C］// 7thUS National Conference on Earthquake Engineering. Boston, MA: EERI, 2002.
［5］HWANG H，刘晶波.地震作用下钢筋混凝土桥梁结构易损性分析［J］.土木工程学报，2004, 37(6): 47-51.
HWANG H, LIU Jingbo.Seismic fragility analysis of reinforced concrete bridges ［J］.China Civil Engineering Journal, 2004, 37(6): 47-51.
［6］钟德理，冯启民.基于地震动参数的建筑物震害研究［J］.地震工程与工程振动，2004, 24(5): 46-51.
ZHONG Deli, FENG Qimin.Investigation on building destruction based on seismic coefficient ［J］.Earthquake Engineering and Engineering Dynamics, 2004, 24(5): 46-51.
［7］BERTERO V V.Strength and deformation capacities of buildings under extreme environments ［J］.Structural Engineering and Structural Mechanics, 1977, 53(1): 95-102.
［8］施炜，叶列平，陆新征，等.不同抗震设防RC框架结构抗倒塌能力的研究［J］.工程力学，2011, 28(3):41-48.
SHI Wei, YE Lieping, LU Xinzheng, et al.Study on the collapse-resistant capacity of RC frames with different seismic fortification levels ［J］.Engineering Mechanics, 2011, 28(3):41-48.
［9］吕西林，苏宁粉，周颖.复杂高层结构基于增量动力分析法的地震易损性分析［J］.地震工程与工程振动，2012, 32(5): 19-25.
L Xilin, SU Ningfen, ZHOU Ying.IDA-based seismic fragility analysis of a complex high-rise structure ［J］.Earthquake Engineering and Engineering Dynamics, 2012,32(5): 19-25.
［10］张朕磊.某超限塔楼基于IDA的地震易损性分析［J］.结构工程师，2018, 34(3): 16-23.
ZHANG Zhenlei.Seismic fragility analysis of an office building based on IDA ［J］.Structural Engineers, 2018,34(3): 16-23.
［11］ZHANG J, HUO Y.Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method ［J］.Engineering Structures, 2009, 31(8): 1648-1660.
［12］吴文朋，李立峰，王连华，等.基于IDA的高墩大跨桥梁地震易损性分析［J］.地震工程与工程振动，2012, 32(3): 117-123.
WU Wenpeng, LI Lifeng, WANG Lianhua, et al.Evaluation of seismic vulnerability of high-pier long-span bridge using incremental dynamic analysis ［J］.Earthquake Engineering and Engineering Dynamics, 2012,32(3): 117-123.
［13］黄盛楠，杨德圣，宋波，等.大跨斜拉桥地震易损性分析［J］.工程力学，2014, 31(增刊1): 86-90.
HUANG Shengnan, YANG Desheng, SONG Bo, et al.Seismic vulnerability analysis for long-span cable-stayed bridge ［J］ Engineering Mechanics, 2014,31(Suppl.1): 86-90.
［14］VAMVATSIKOS D, CORNELL A.Direct estimation of seismic demand and capacity of multidegree-of-freedom systems through incremental dynamic analysis of single degree of freedom approximation ［J］.ASCE Journal of Structural Engineering, 2005, 131(4): 589-599.
［15］杨成，徐腾飞，李英民，等.应用弹塑性反应谱对IDA方法的改进研究［J］.地震工程与工程振动，2008, 28(4): 64-69.
YANG Cheng, XU Tengfei, LI Yingmin, et al.Research on modified IDA method by inelastic response spectrum ［J］.Earthquake Engineering and Engineering Dynamics, 2008, 28(4): 64-69.
［16］汪梦甫，汪帜辉，刘飞飞.增量动力弹塑性分析方法的改进及其应用［J］.地震工程与工程振动，2012, 32(1): 30-35.
WANG Mengfu, WANG Zhihui, LIU Feifei.Improved method for incremental dynamic analysis and its application ［J］.Earthquake Engineering and Engineering Dynamics, 2012, 32(1): 30-35.
［17］吕大刚，于晓辉，王光远.单地震动记录随机增量动力分析［J］.工程力学，2010, 27(增刊1): 53-58.
L Dagang, YU Xiaohui, WANG Guangyuan.Single-record random incremental dynamic analysis ［J］.Engineering Mechanics, 2010, 27(Suppl. 1): 53-58.
［18］PITILAKIS K, TSINIDIS G.Performance and seismic design of underground structures in earthquake geotechnical engineering design［M］.Berlin: Springer International Publishing, 2014.
［19］American Lifelines Alliance (ALA).Seismic fragility formulations for water systems, Part1: Guideline ［M］.Reston: ASCE-FEMA, 2001.
［20］American Lifelines Alliance (ALA).Seismic fragility formulations for water systems, Part 2: Appendices ［M］.Reston: ASCE-FEMA, 2001．
［21］National Institute of Building Sciences (NIBS).HAZUS-MR4: technical manual［R］.Washington: National Institute of Building Sciences, 2004: 3-33-7-87．
［22］ARGYROUDIS S A, PITILAKIS K D.Seismic fragility curves of shallow tunnels in alluvial deposits［J］.Soil Dynamics and Earthquake Engineering, 2011, 35(4):231-236.
［23］HUANG G, QIU W G, ZHANG J R.Modelling seismic fragility of a rock mountain tunnel based on support vector machine［J］.Soil Dynamics and Earthquake Engineering, 2017, 102(6): 56-60.
［24］周志光，任永强.地震作用下软土隧道的易损性分析［J］.结构工程师，2018, 34(增刊1): 122-129.
ZHOU Zhiguang, REN Yongqiang.Seismic fragility analysis of tunnels in soft soils ［J］.Structural Engineers, 2018, 34(Suppl. 1): 122-129.
［25］董正方，曾繁凯，李凤丽，等.基于IDA法的矩形地下车站层间位移角抗震性能限值研究［J］.现代隧道技术，2018, 55(增刊2): 441-449.
DONG Zhengfang, ZENG Fankai, LI Fengli, et al.Study on seismic performance limits of rectangular underground stations based on IDA method ［J］.Modern Tunnelling Technology, 2018, 55(Suppl. 2): 441-449.
［26］董正方，蔡宝占，姚毅超，等.反应加速度法和反应位移法精度随结构埋深变化的研究［J］.振动与冲击，2017, 36(14): 216-220.
DONG Zhengfang, CAI Baozhan, YAO Yichao, et al.Accuracy of the response acceleration method and response displacement method considering different imbedding depths of underground structures ［J］.Journal of Vibration and Shock, 2017, 36(14): 216-220.
［27］BAKER J W, CORNELL C A.Vector-valued intensity measures for pulse-like near-fault ground motions［J］.Engineering Structures, 2008, 30(4):1048-1057.
［28］BAKER J W, CORNELL C A.A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon［J］.Earthquake Engineering & Structural Dynamics, 2010, 34(10):1193-1217.
［29］李凤丽，董正方，贺东青，等.反应加速度法人工边界宽度参数研究［J］.中国科技论文，2016, 11(7): 808-812.
LI Fengli, DONG Zhengfang, HE Dongqing, et al.Research on the artificial boundary width parameter for the response acceleration method ［J］.China Sciencepaper,2016, 11(7): 808-812.
［30］小泉淳.盾构隧道管片设计：从容许应力设计法到极限状态设计法［M］.官林星，译.北京：中国建筑工业出版社，2012.
［31］董正方，朱红云，蔡宝占，等.不同埋深处土质场地地下结构地震内力变化规律［J］.工程抗震与加固改造，2017, 39(5): 143-148.
DONG Zhengfang, ZHU Hongyun, CAI Baozhan, et al.Law of internal force changes for understructures in soil site with different depth under earthquake ［J］.Earthquake Resistant Engineering and Retrofitting, 2017, 39(5): 143-148.
［32］钟紫蓝，申轶尧，郝亚茹，等.基于IDA方法的两层三跨地铁地下结构地震易损性分析［J］.岩土工程学报，
2020，42（5）:916-924.
ZHONG Zilan, SHEN Yiyao, HAO Yaru, et al.Seismic fragility analysis of two-story-three-span metro station structures based on IDA method［J］.Chinese Journal of Geotechnical Engineering，2020，42（5）:916-924.
［33］蔡宝占.盾构区间隧道直径变形率抗震性能限值研究［D］.开封：河南大学，2018.
［34］李凤丽.矩形地下车站层间位移角抗震性能限值研究［D］.开封：河南大学，2017.
［35］QIU W G, HUANG G, ZHOU H, et al.Seismic vulnerability analysis of rock mountain tunnel［J］.
International Journal of Geomechanics, 2018, 18(3):32-41.
［36］刘立荣，王海彦，黄黆.考虑不确定因素的山岭隧道地震易损性研究［J］.世界地震工程，2018, 34(1): 173-178.
LIU Lirong, WANG Haiyan, HUANG Guang.Study on vulnerability analysis of rock mountain tunnel considering uncertainties ［J］.World Earthquake Engineering, 2018, 34(1): 173-178.
