基于构件的RC连续梁桥地震体系易损性分析
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摘要
提出了考虑各构件(桥墩、支座、桥台)地震响应相关性的体系易损性计算方法.首先利用均匀设计得到56个结构-地震样本对,得到各构件的地震响应;其次通过Matlab计算得到联合概率地震需求模型(JPSDM),并计算出对应的各构件能力样本;最后借助蒙特卡洛抽样(MCS)得到桥梁结构体系易损性曲线.以一座3跨连续梁桥的非线性Opensees模型为例,结果表明不考虑构件相关性的体系易损性会带来较大误差.
A new method for system fragility is proposed in this paper with consideration of the seismic correlation of bridge fragments(piers,bearings,abutments).Firstly,56structure-earthquake sample pairs are obtained by uniform design, which are used to get the seismic responses of components.Secondly,the joint probabilistic seismic demand model(JPSDM) is established by Matlab. Then the corresponding capability for each component are calculated.Finally,the bridge structure system fragility curve can be obtained with Monte Carlo Sampling(MCS).The nonlinear Opensees model of a three-span continuous girder bridge is established as a case study.The results prove that larger errors will be brought in if the component correlation in fragility analysis is not considered.
A new method for system fragility is proposed in this paper with consideration of the seismic correlation of bridge fragments(piers,bearings,abutments).Firstly,56structure-earthquake sample pairs are obtained by uniform design, which are used to get the seismic responses of components.Secondly,the joint probabilistic seismic demand model(JPSDM) is established by Matlab. Then the corresponding capability for each component are calculated.Finally,the bridge structure system fragility curve can be obtained with Monte Carlo Sampling(MCS).The nonlinear Opensees model of a three-span continuous girder bridge is established as a case study.The results prove that larger errors will be brought in if the component correlation in fragility analysis is not considered.
引文
[1]Choi E S,DesRoches R,Nielson B.Seismic fragility of typical bridges in moderate seismic zones[J].Engineering Structures,2004,26(2):187.
[2]Padgett J E,DesRoches R.Methodology for the development of analytical fragility curves for retrofitted bridges[J].Earthquake Engineering&Structural Dynamics,2008,37(8):1157.
[3]Basoz N I,Kiremidjian A S,King S A,et al.Statistical analysis of bridge damage data from the 1994 Northridge,CA,Earthquake[J].Earthquake Spectra,1999,15(1):25.
[4]Shinozuka M,Feng M Q,Lee J,et al.Statistical analysis of fragility curves[J].Journal of Engineering Mechanics,ASCE,2000,126(12):1224.
[5]Zhang J,Huo Y L.Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method[J].Engineering Structures,2009,31(8):1648.
[6]Hwang H,Jernigan J,Lin Y.Evaluation of seismic damage to Memphis bridges and highway systems[J].Journal of Bridge Engineering,2000,5(4):322.
[7]Shinozuka M,Feng M Q,Kim H K,et al.Nonlinear static procedure for fragility curve development[J].Journal of Engineering Mechanics,ASCE,2000,126(12):1287.
[8]Karim K R and Yamazaki F.A simplified method of constructing fragility curves for highway bridges[J].Earthquake Engineering&Structural Dynamics,2003,32(10):1603.
[9]张菊辉.基于数值模拟的规则梁桥墩柱的地震易损性分析[D].上海:同济大学,2006.ZHANG Juhui.Study on seismic vulnerability analysis of normal beam bridge piers based on numerical simulation[D].Shanghai,Tongji University,2006.
[10]王建民,王国亮,聂建国,等.基于概率的桥梁结构地震危害性分析[J].土木工程学报,2010,43(11):86.WANG Jianmin,WANG Guoliang,NIE Jianguo,et al.Probability based seismic risk analysis of bridge structures[J].China Civil Engineering Journal,2010,43(11):86.
[11]焦驰宇.基于性能的大跨斜拉桥地震易损性分析[D].上海:同济大学,2008.JIAO Chiyu.Performance based seismic fragility analysis of long-span cable-stayed bridges[D].Shanghai:Tongji University 2008.
[12]庞于涛,袁万城,党新志,等.考虑材料劣变过程的桥梁地震易损性分析[J].同济大学学报:自然科学版,2013,41(3):348.PANG Yutao,YUAN Wancheng,DANG Xinzhi,et al.Stochastic fragility analysis of bridges with a consideration of material deterioration[J].Journal of Tongji University:Natural Science,2013,41(3):348.
[13]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.LI Lifeng,WU Wenming,HUANG Jiamei,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.
[14]Cornell C A,Jalayer F,Hamburger R O,et al.Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines[J].Journal of Structural Engineering,ASCE,2002,128(4):526.
[15]Hwang H,Liu J B,Chiu Y H.Seismic fragility analysis of highway bridges[R].Memphis:Center for Earthquake Research and Information,The University of Memphis,2001.
[16]Mackie K R,Stojadinovic B.R-Factor parameterized bridge damage fragility curves[J].Journal of Bridge Engineering,2007,12(4):500.
[17]Mackie K R,Stojadinovi c'B.Fragility basis for California highway overpass bridge seismic decision making[R].Berkeley:Pacific Earthquake Engineering Research Center,College of Engineering,University of California,Berkeley,2005.
[18]Nielson B G,DesRoches R.Seismic fragility methodology for highway bridges using a component level approach[J].Earthquake Engineering&Structural Dynamics,2007,36(6):823.
[19]Kwon O S,Elnashai A S.Fragility analysis of a highway overcrossing bridge with consideration of soil-structure interactions[J].Structure and Infrastructure Engineering,2010,6(1/2):159.
[20]Nielson B G.Analytical fragility curves for highway bridges in moderate seismic zones[D].Georgia:Georgia Institute of Technology,2005.
[21]Caltrans.Caltrans Structures Seismic Design References[S].Sacramento,CA:California Department of Transportation,1990.
[22]Choi E.Seismic analysis and retrofit of mid:America bridges[D].Georgia:Georgia Institute of Technology,2002.
[23]中华人民共和国交通运输部.JTG/T B02-01 2008公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.Ministry of Transport of PRC.JTG/T B02-01 2008Guidelines for seismic design of highway bridges[S].Beijing:China Communications Press,2008.
[24]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.
[25]Padgett J E,Ghosh J,Duenas-Osorio L.et al.Effects of liquefiable soil and bridge modelling parameters on the seismic reliability of critical structural components[J].Structure and Infrastructure Engineering,2013,9(1):59.
[26]中华人民共和国交通部.GB/T50283 1999公路工程结构可靠度设计统一标准[S].北京:中国计划出版社,1999.MOC of China.GB/T 50283 1999 Unified standard for reliability design of highway engineering structures[S].Beijing:China Planning Press,1999.
[27]Mackie K,Stojadinovic'B.Performance-based seismic bridge design for damage and loss limit states[J].Earthquake Engineering&Structural Dynamics,2007,36(13):1953.
[28]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&Structural Dynamics,2008,37(5):711.
[2]Padgett J E,DesRoches R.Methodology for the development of analytical fragility curves for retrofitted bridges[J].Earthquake Engineering&Structural Dynamics,2008,37(8):1157.
[3]Basoz N I,Kiremidjian A S,King S A,et al.Statistical analysis of bridge damage data from the 1994 Northridge,CA,Earthquake[J].Earthquake Spectra,1999,15(1):25.
[4]Shinozuka M,Feng M Q,Lee J,et al.Statistical analysis of fragility curves[J].Journal of Engineering Mechanics,ASCE,2000,126(12):1224.
[5]Zhang J,Huo Y L.Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method[J].Engineering Structures,2009,31(8):1648.
[6]Hwang H,Jernigan J,Lin Y.Evaluation of seismic damage to Memphis bridges and highway systems[J].Journal of Bridge Engineering,2000,5(4):322.
[7]Shinozuka M,Feng M Q,Kim H K,et al.Nonlinear static procedure for fragility curve development[J].Journal of Engineering Mechanics,ASCE,2000,126(12):1287.
[8]Karim K R and Yamazaki F.A simplified method of constructing fragility curves for highway bridges[J].Earthquake Engineering&Structural Dynamics,2003,32(10):1603.
[9]张菊辉.基于数值模拟的规则梁桥墩柱的地震易损性分析[D].上海:同济大学,2006.ZHANG Juhui.Study on seismic vulnerability analysis of normal beam bridge piers based on numerical simulation[D].Shanghai,Tongji University,2006.
[10]王建民,王国亮,聂建国,等.基于概率的桥梁结构地震危害性分析[J].土木工程学报,2010,43(11):86.WANG Jianmin,WANG Guoliang,NIE Jianguo,et al.Probability based seismic risk analysis of bridge structures[J].China Civil Engineering Journal,2010,43(11):86.
[11]焦驰宇.基于性能的大跨斜拉桥地震易损性分析[D].上海:同济大学,2008.JIAO Chiyu.Performance based seismic fragility analysis of long-span cable-stayed bridges[D].Shanghai:Tongji University 2008.
[12]庞于涛,袁万城,党新志,等.考虑材料劣变过程的桥梁地震易损性分析[J].同济大学学报:自然科学版,2013,41(3):348.PANG Yutao,YUAN Wancheng,DANG Xinzhi,et al.Stochastic fragility analysis of bridges with a consideration of material deterioration[J].Journal of Tongji University:Natural Science,2013,41(3):348.
[13]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.LI Lifeng,WU Wenming,HUANG Jiamei,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.
[14]Cornell C A,Jalayer F,Hamburger R O,et al.Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines[J].Journal of Structural Engineering,ASCE,2002,128(4):526.
[15]Hwang H,Liu J B,Chiu Y H.Seismic fragility analysis of highway bridges[R].Memphis:Center for Earthquake Research and Information,The University of Memphis,2001.
[16]Mackie K R,Stojadinovic B.R-Factor parameterized bridge damage fragility curves[J].Journal of Bridge Engineering,2007,12(4):500.
[17]Mackie K R,Stojadinovi c'B.Fragility basis for California highway overpass bridge seismic decision making[R].Berkeley:Pacific Earthquake Engineering Research Center,College of Engineering,University of California,Berkeley,2005.
[18]Nielson B G,DesRoches R.Seismic fragility methodology for highway bridges using a component level approach[J].Earthquake Engineering&Structural Dynamics,2007,36(6):823.
[19]Kwon O S,Elnashai A S.Fragility analysis of a highway overcrossing bridge with consideration of soil-structure interactions[J].Structure and Infrastructure Engineering,2010,6(1/2):159.
[20]Nielson B G.Analytical fragility curves for highway bridges in moderate seismic zones[D].Georgia:Georgia Institute of Technology,2005.
[21]Caltrans.Caltrans Structures Seismic Design References[S].Sacramento,CA:California Department of Transportation,1990.
[22]Choi E.Seismic analysis and retrofit of mid:America bridges[D].Georgia:Georgia Institute of Technology,2002.
[23]中华人民共和国交通运输部.JTG/T B02-01 2008公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.Ministry of Transport of PRC.JTG/T B02-01 2008Guidelines for seismic design of highway bridges[S].Beijing:China Communications Press,2008.
[24]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.
[25]Padgett J E,Ghosh J,Duenas-Osorio L.et al.Effects of liquefiable soil and bridge modelling parameters on the seismic reliability of critical structural components[J].Structure and Infrastructure Engineering,2013,9(1):59.
[26]中华人民共和国交通部.GB/T50283 1999公路工程结构可靠度设计统一标准[S].北京:中国计划出版社,1999.MOC of China.GB/T 50283 1999 Unified standard for reliability design of highway engineering structures[S].Beijing:China Planning Press,1999.
[27]Mackie K,Stojadinovic'B.Performance-based seismic bridge design for damage and loss limit states[J].Earthquake Engineering&Structural Dynamics,2007,36(13):1953.
[28]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&Structural Dynamics,2008,37(5):711.
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