工程科学学报.第44卷，第X期：1-10.2021年X月 Chinese Journal of Engineering,Vol.44,No.X:1-10,X 2021 https://doi.org/10.13374/j.issn2095-9389.2020.12.11.001;http://cje.ustb.edu.cn 基于耐震时程法的连续刚构桥地震损伤分析 :军，石岩)区，张奋杰”，王军文2)，黄兆国) 1)兰州理工大学土木工程学院，兰州7300502)石家庄铁道大学道路与铁道工程安全保障省部共建教育部重点实验室.石家庄050043 ☒通信作者.E-mail:syky86@163.conm 摘要探讨了在真实成桥内力状态下，耐震时程法(Endurance time method,ETM)评估连续刚构桥地震反应与损伤的准确性 和有效性.以一座典型非规则连续刚构桥为背景，采用MDAS/Ciil模拟实际施工过程，经施工阶段分析得到10a收缩徐变 下的成桥内力状态，再借助等效荷载法建立考虑成桥内力状态的OpenSees动力分析模型；通过与天然地震动下的增量动力 分析(ncremental dynamic analysis,DA)结果相对比，验证了采用ETM可快速准确地得到地震反应的适用性；通过该方法分 析了墩顶位移、梁端位移及碰撞力等地震反应，并采用位移延性系数和Prk-Ang损伤指数对桥墩损伤进行了量化分析与评 估.结果表明：ETM可以有效地预测真实成桥内力状态下连续刚构桥达到某一损伤程度的时间；耐震时间较短时主桥桥墩较 引桥桥墩的损伤要小，耐震时间较长时则反之 关键词桥梁工程：连续刚构桥：成桥内力状态：耐震时程法；损伤评估 分类号U448.23 Application of the endurance time method to the seismic analysis and damage evaluation of a continuous rigid-frame bridge LI Jun,SHI Yan,ZHANG Fen-jie,WANG Jun-wen,HUANG Zhao-guo 1)School of Civil Engineering,Lanzhou University of Technology,Lanzhou 730050,China 2)Key Laboratory of Roads and Railway Engineering Safety Control of Ministry of Education,Shijiazhuang Tiedao University,Shijiazhuang 050043, China Corresponding author,E-mail:syky86@163.com ABSTRACT The endurance time method (ETM)is a novel dynamic analysis method in which artificially intensified accelerograms characterized by the increase in seismic intensity with time are used as loading inputs.In this method,various dynamic responses,i.e., ranging from elastic to failure,under seismic excitations of different intensity levels are estimated with a reduced dynamic calculation effort.Based on these merits,this study investigated the accuracy and effectiveness of ETM in predicting the seismic responses and damage to continuous rigid-frame bridges considering the real internal force state (called element initial strain state)of the completed bridge.In detail,first,a typical irregular continuous rigid-frame bridge was selected as the target of the analysis,and its finite element model considering the real construction process was established by MIDAS/Civil.Then,the real internal force state considering the 10- year concrete shrinkage and creep was determined through construction phase analysis,and a dynamic analysis model considering the real internal force state was built via OpenSees utilizing the equivalent load method.Subsequently,the incremental dynamic analysis results under natural ground motions were obtained and compared with the results of the ETM,and the applicability of the ETM to obtain seismic responses rapidly and accurately was verified.Finally,the seismic responses of pier displacement,girder displacement, 收稿日期：2020-12-11 基金项目：国家自然科学基金资助项目(51908265.51768042)：红柳优秀青年人才计划资助项目(04-061810)：河北省自然科学基金资助项 目(E2019210215):道路与铁道工程安全保障省部共建教育部重点实验室资助项目(STKF201904)基于耐震时程法的连续刚构桥地震损伤分析 李    军1)，石    岩1) 苣，张奋杰1)，王军文2)，黄兆国1) 1) 兰州理工大学土木工程学院，兰州 730050    2) 石家庄铁道大学道路与铁道工程安全保障省部共建教育部重点实验室，石家庄 050043 苣通信作者， E-mail: syky86@163.com 摘    要    探讨了在真实成桥内力状态下，耐震时程法 (Endurance time method，ETM) 评估连续刚构桥地震反应与损伤的准确性 和有效性. 以一座典型非规则连续刚构桥为背景，采用 MIDAS/Civil 模拟实际施工过程，经施工阶段分析得到 10 a 收缩徐变 下的成桥内力状态，再借助等效荷载法建立考虑成桥内力状态的 OpenSees 动力分析模型；通过与天然地震动下的增量动力 分析 (Incremental dynamic analysis，IDA) 结果相对比，验证了采用 ETM 可快速准确地得到地震反应的适用性；通过该方法分 析了墩顶位移、梁端位移及碰撞力等地震反应，并采用位移延性系数和 Park‒Ang 损伤指数对桥墩损伤进行了量化分析与评 估. 结果表明：ETM 可以有效地预测真实成桥内力状态下连续刚构桥达到某一损伤程度的时间；耐震时间较短时主桥桥墩较 引桥桥墩的损伤要小，耐震时间较长时则反之. 关键词    桥梁工程；连续刚构桥；成桥内力状态；耐震时程法；损伤评估 分类号    U448.23 Application  of  the  endurance  time  method  to  the  seismic  analysis  and  damage evaluation of a continuous rigid-frame bridge LI Jun1) ，SHI Yan1) 苣 ，ZHANG Fen-jie1) ，WANG Jun-wen2) ，HUANG Zhao-guo1) 1) School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China 2) Key Laboratory of Roads and Railway Engineering Safety Control of Ministry of Education, Shijiazhuang Tiedao University, Shijiazhuang 050043, China 苣 Corresponding author, E-mail: syky86@163.com ABSTRACT    The endurance time method (ETM) is a novel dynamic analysis method in which artificially intensified accelerograms characterized by the increase in seismic intensity with time are used as loading inputs. In this method, various dynamic responses, i.e., ranging from elastic to failure, under seismic excitations of different intensity levels are estimated with a reduced dynamic calculation effort.  Based  on  these  merits,  this  study  investigated  the  accuracy  and  effectiveness  of  ETM  in  predicting  the  seismic  responses  and damage to continuous rigid-frame bridges considering the real internal force state (called element initial strain state) of the completed bridge. In detail, first, a typical irregular continuous rigid-frame bridge was selected as the target of the analysis, and its finite element model considering the real construction process was established by MIDAS/Civil. Then, the real internal force state considering the 10- year concrete shrinkage and creep was determined through construction phase analysis, and a dynamic analysis model considering the real internal force state was built via OpenSees utilizing the equivalent load method. Subsequently, the incremental dynamic analysis results  under  natural  ground  motions  were  obtained  and  compared  with  the  results  of  the  ETM,  and  the  applicability  of  the  ETM  to obtain seismic responses rapidly and accurately was verified. Finally, the seismic responses of pier displacement, girder displacement, 收稿日期: 2020−12−11 基金项目: 国家自然科学基金资助项目（51908265，51768042）；红柳优秀青年人才计划资助项目（04-061810）；河北省自然科学基金资助项 目（E2019210215）；道路与铁道工程安全保障省部共建教育部重点实验室资助项目（STKF201904） 工程科学学报，第 44 卷，第 X 期：1−10，2021 年 X 月 Chinese Journal of Engineering, Vol. 44, No. X: 1−10, X 2021 https://doi.org/10.13374/j.issn2095-9389.2020.12.11.001; http://cje.ustb.edu.cn