多点激励反应谱法研究现状与发展
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摘要
首先简要地说明了大跨度结构在抗震分析中的特点以及目前常用的计算大跨度结构多点激励地震反应的三种方法,继而详细地论述了近年来大跨度结构多点地震激励反应谱分析方法的国内外研究现状,最后对该领域的发展方向以及进一步深入研究时所需要注意的问题进行了初步的探讨.
The features of seismic analysis of long-span structures and the three methods used commonly in analyzing the seismic response of long-span structures under multi-support excitations are briefly stated,and then the research developments of multi-support response spectrum method at home and abroad are presented in detail.Finally,some problems in need of a further investigations are proposed.
The features of seismic analysis of long-span structures and the three methods used commonly in analyzing the seismic response of long-span structures under multi-support excitations are briefly stated,and then the research developments of multi-support response spectrum method at home and abroad are presented in detail.Finally,some problems in need of a further investigations are proposed.
引文
[1]Der Kiureghian A,Neuenhofer A.Response spectrum methodfor multi-support seismic excitations[J].EarthquakeEngineering and Structural Dynamics,1992,21:713.
[2]Bogdanoff J L,Goldberg J E,Schiff A J.The effect of groundtransmission time on the response of long structures[J].Bulletin of the Seismological Society of America,1965,55(3):627.
[3]苗家武,胡世德,范立础.大型桥梁多点激励效应的研究现状与发展[J].同济大学学报:自然科学版,1999,27(2):189.MIAO Jiawu,HU Shide,FAN Lichun.State of art anddevelopment of study on seismic performance of long spanbridges under multiple-support excitations[J].Journal ofTongji University:Natural Science,1999,27(2):189.
[4]刘先明.大跨度空间网格结构多点输入反应谱理论的研究与应用[D].南京:东南大学土木工程学院,2003.LIU Xianming.Response spectrum theory on long span spacetruss under multiple-support excitations[D].Nanjing:Collegeof Civil Engineering of Southeast University,2003.
[5]Clough R,Penzien J.Dynamics of structures[M].New York:McGraw-Hill,1975.
[6]Der Kiureghian A,Keshishian P,Hakobian A.Multiple-supportresponse spectrum analysis of the bridges including the siteresponse effect and the MSRS code[R].Berkeley:EarthquakeEngineering Research Center of University of California,Berkeley,1997.
[7]Konakli K,Der Kiureghian A.Extended MSRS rule for seismicanalysis of bridges subjected to differential support motions[J].Earthquake Engineering and Structural Dynamics,2011,40:1315.
[8]Yamamura N,Tanaka H.Response analysis of flexible MDFsystems for multiple-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1990,19:345.
[9]Berrah M K,Kausel E.Response spectrum analysis ofstructures subjected to spatially varying motions[J].Earthquake Engineering and Structural Dynamics,1992,21:461.
[10]Berrah M K,Kausel E.A modal combination rule for spatiallyvarying seismic motions[J].Earthquake Engineering andStructural Dynamics,1993,22:791.
[11]Loh C H,Yeh Y.Spatial variation and stochastic modelling ofseismic differential ground motion[J].Earthquake Engineeringand Structural Dynamics,1988,16:583.
[12]Su L,Dong S L,Kato S.A new average response spectrummethod for linear response analysis of structures to spatialearthquake ground motions[J].Engineering Structures,2006,28:1835.
[13]唐玉.考虑行波效应的抗震设计反应谱[D].上海:同济大学土木工程学院,2008.TANG Yu.The seismic design spectra considering the wavetraveling effect[D].Shanghai:College of Civil Engineering ofTongji University,2008.
[14]黄明开.非一致激励下大跨空间结构地震反应分析[D].上海:同济大学土木工程学院,2009.HUANG Mingkai.Seismic responses analyses of long-spanspace structure under non uniform excitations[D].Shanghai:College of Civil Engineering of Tongji University,2009.
[15]Nakamura Y,Kiureghian A D,Liu D.Multiple-supportresponse spectrum analysis of the golden gate bridge[R].Berkeley:Earthquake Engineering Research Center ofUniverstity of California,Berkeley,1993.
[16]Loh C H,Ku B D.An efficient analysis of structures responsefor multiple-support seismic excitations[J].EngineeringStructures,1995,17(1):15.
[17]Kaul M.Stochastic characterization of earthquakes throughtheir response spectrum[J].Earthquake Engineering andStructural Dynamics,1978,6:497.
[18]Kahan M,Gibert R J,Bard P Y.Influence of seismic wavesspatial variability on bridges[J].Earthquake Engineering andStructural Dynamics,1996,25:795.
[19]孙建梅,叶继红,程文瀼.多点输入反应谱方法的简化[J].东南大学学报,2003,33(5):647.SUN Jianwei,YE Jihong,CHENG Wenrang.Simplification ofthe multi-support response spectrum method[J].Journal ofSoutheast University,2003,33(5):647.
[20]Allam S M,Datta T K.Seismic behavior of cable-stayedbridges under muti-component random ground motion[J].Engineering Structures,1999,21:62.
[21]Allam S M,Datta T K.Seismic behavior of cable-stayedbridges under muti-component random ground motion byresponse spectrum method[J].Engineering Structures,2000,22:1367.
[22]Heredia-Zavoni E,Vanmarcke E H.Seismic random-vibrationanalysis of multisupport-structural systems[J].Journal ofEngineering Mechanics,1994,120(5):1107.
[23]Der Kiureghian A,Neuenhofer A.Discussion on“seismicrandom-vibration analysis of multi-support structural systems”[J].Journal of Engineering Mechanics,1995,121(9):1037.
[24]Heredia-Zavoni E,Vanmarcke E H.Closure on the discussionon“seismic random-vibration analysis of multi-supportstructural systems”[J].Journal of Engineering Mechanics,1995,121(9):1037.
[25]刘洪兵,朱晞.大跨度斜拉桥多支承激励地震响应分析[J].土木工程学报,2001,34(6):38.LIU Hongbin,ZHU Xi.Seismic response analysis of long-spancable-stayed bridges under multi-support excitations[J].ChinaCivil Engineering Journal,2001,34(6):38.
[26]刘洪兵,朱晞,郑峰.基于三维相关系数谱的多支承激励反应谱法[J].世界地震工程,2005,21(4):106.LIU Hongbin,ZHU Xi,ZHENG Feng.Multi-supportedresponse spectrum method based on 3D spectrum of correlationcoefficients.[J].World Information on EarthquakeEngineering,2005,21(4):106.
[27]刘洪兵.大跨度桥梁考虑多点激励及地形效应的地震响应分析[D].北京:北京交通大学土木建筑工程学院,2000.LIU Hongbin.Seismic analysis of long-span bridges for multi-supported excitations and topographic effects[D].Beijing:School of Civil Engineering and Architecture of Beijing JiaotongUniverstiy,2000.
[28]李杰,李建华.多点激励下结构随机地震反应分析的反应谱方法[J].地震工程与工程振动,2004,24(3):21.LI Jie,LI Jianhua.A response spectrum method for randomvibration analysis of structures under multi-support excitations[J].Earthquake Engineering and Engineering Vibration,2004,24(3):21.
[29]王君杰.多点多维地震动随机模型及结构的反应谱分析方法[D].哈尔滨:国家地震局工程力学研究所,1992.WANG Junjie.Stochastic models of multi-support and multi-dimension seismic inputs and response spectrum method[D].Harbin:Institute of Engineering Mechanics of ChinaEarthquake Administration,1992.
[30]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.LIN Jiahao,ZHANG Yahui.Pseudo excitation method forrandom vibration[M].Beijing:Science Press,2004.
[31]王淑波.大型桥梁抗震反应谱分析理论及应用研究[D].上海:同济大学土木工程学院,1997.WANG Shubo.Response spectrum theory for long-span bridges[D].Shanghai:College of Civil Engineering of TongjiUniversity,1997.
[32]孙建梅.多点输入下大跨空间结构抗震性能和分析方法的研究[D].南京:东南大学土木工程学院,2005.SUN Jianmei.Research on seismic behavior and analysismethod of long-span space structures under multiple supportexcitations[D].Nanjing:College of Civil Engineering ofSoutheast University,2005.
[33]孙建梅,叶继红,程文瀼.多点输入反应谱中相关系数ρijkl的简化[J].工程力学,2006,23(7):124.SUN Jianmei,YE Jihong,CHENG Wenrang.The simplificationof the coherency coefficientsρijklin the multi-support responsespectrum[J].Engineering Mechanics,2006,23(7):124.
[34]Zembaty Z,Krenk S.Spatial seismic excitations and responsespectra[J].Journal of Engineering Mechanics,1993,119(12):2449.
[35]Jeng V,Kasai K.Spectral relative motion of two structuresdue to seismic travel waves[J].Journal of StructuralEngineering,1996,122(10):1128.
[36]Trifunac M D,Todorovska M I.Response spectra fordifferential motion of columns[J].Earthquake Engineering andStructural Dynamics,1997,26:251.
[37]Trifunac M D,Gicev V.Response spectra for differentialmotion of columns paper II[J].Soil Dynamics and EarthquakeEngineering,2005,26:1149.
[38]夏友柏,王年桥.多点地震激励下基于改进振型位移法的反应谱方法[J].世界地震工程,2003,19(1):164.XIA Youbo,WANG Nianqiao.The response spectrum methodbased on modified modal displacement method for multi-supportstructure[J].World Information on Earthquake Engineering,2003,19(1):164.
[2]Bogdanoff J L,Goldberg J E,Schiff A J.The effect of groundtransmission time on the response of long structures[J].Bulletin of the Seismological Society of America,1965,55(3):627.
[3]苗家武,胡世德,范立础.大型桥梁多点激励效应的研究现状与发展[J].同济大学学报:自然科学版,1999,27(2):189.MIAO Jiawu,HU Shide,FAN Lichun.State of art anddevelopment of study on seismic performance of long spanbridges under multiple-support excitations[J].Journal ofTongji University:Natural Science,1999,27(2):189.
[4]刘先明.大跨度空间网格结构多点输入反应谱理论的研究与应用[D].南京:东南大学土木工程学院,2003.LIU Xianming.Response spectrum theory on long span spacetruss under multiple-support excitations[D].Nanjing:Collegeof Civil Engineering of Southeast University,2003.
[5]Clough R,Penzien J.Dynamics of structures[M].New York:McGraw-Hill,1975.
[6]Der Kiureghian A,Keshishian P,Hakobian A.Multiple-supportresponse spectrum analysis of the bridges including the siteresponse effect and the MSRS code[R].Berkeley:EarthquakeEngineering Research Center of University of California,Berkeley,1997.
[7]Konakli K,Der Kiureghian A.Extended MSRS rule for seismicanalysis of bridges subjected to differential support motions[J].Earthquake Engineering and Structural Dynamics,2011,40:1315.
[8]Yamamura N,Tanaka H.Response analysis of flexible MDFsystems for multiple-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1990,19:345.
[9]Berrah M K,Kausel E.Response spectrum analysis ofstructures subjected to spatially varying motions[J].Earthquake Engineering and Structural Dynamics,1992,21:461.
[10]Berrah M K,Kausel E.A modal combination rule for spatiallyvarying seismic motions[J].Earthquake Engineering andStructural Dynamics,1993,22:791.
[11]Loh C H,Yeh Y.Spatial variation and stochastic modelling ofseismic differential ground motion[J].Earthquake Engineeringand Structural Dynamics,1988,16:583.
[12]Su L,Dong S L,Kato S.A new average response spectrummethod for linear response analysis of structures to spatialearthquake ground motions[J].Engineering Structures,2006,28:1835.
[13]唐玉.考虑行波效应的抗震设计反应谱[D].上海:同济大学土木工程学院,2008.TANG Yu.The seismic design spectra considering the wavetraveling effect[D].Shanghai:College of Civil Engineering ofTongji University,2008.
[14]黄明开.非一致激励下大跨空间结构地震反应分析[D].上海:同济大学土木工程学院,2009.HUANG Mingkai.Seismic responses analyses of long-spanspace structure under non uniform excitations[D].Shanghai:College of Civil Engineering of Tongji University,2009.
[15]Nakamura Y,Kiureghian A D,Liu D.Multiple-supportresponse spectrum analysis of the golden gate bridge[R].Berkeley:Earthquake Engineering Research Center ofUniverstity of California,Berkeley,1993.
[16]Loh C H,Ku B D.An efficient analysis of structures responsefor multiple-support seismic excitations[J].EngineeringStructures,1995,17(1):15.
[17]Kaul M.Stochastic characterization of earthquakes throughtheir response spectrum[J].Earthquake Engineering andStructural Dynamics,1978,6:497.
[18]Kahan M,Gibert R J,Bard P Y.Influence of seismic wavesspatial variability on bridges[J].Earthquake Engineering andStructural Dynamics,1996,25:795.
[19]孙建梅,叶继红,程文瀼.多点输入反应谱方法的简化[J].东南大学学报,2003,33(5):647.SUN Jianwei,YE Jihong,CHENG Wenrang.Simplification ofthe multi-support response spectrum method[J].Journal ofSoutheast University,2003,33(5):647.
[20]Allam S M,Datta T K.Seismic behavior of cable-stayedbridges under muti-component random ground motion[J].Engineering Structures,1999,21:62.
[21]Allam S M,Datta T K.Seismic behavior of cable-stayedbridges under muti-component random ground motion byresponse spectrum method[J].Engineering Structures,2000,22:1367.
[22]Heredia-Zavoni E,Vanmarcke E H.Seismic random-vibrationanalysis of multisupport-structural systems[J].Journal ofEngineering Mechanics,1994,120(5):1107.
[23]Der Kiureghian A,Neuenhofer A.Discussion on“seismicrandom-vibration analysis of multi-support structural systems”[J].Journal of Engineering Mechanics,1995,121(9):1037.
[24]Heredia-Zavoni E,Vanmarcke E H.Closure on the discussionon“seismic random-vibration analysis of multi-supportstructural systems”[J].Journal of Engineering Mechanics,1995,121(9):1037.
[25]刘洪兵,朱晞.大跨度斜拉桥多支承激励地震响应分析[J].土木工程学报,2001,34(6):38.LIU Hongbin,ZHU Xi.Seismic response analysis of long-spancable-stayed bridges under multi-support excitations[J].ChinaCivil Engineering Journal,2001,34(6):38.
[26]刘洪兵,朱晞,郑峰.基于三维相关系数谱的多支承激励反应谱法[J].世界地震工程,2005,21(4):106.LIU Hongbin,ZHU Xi,ZHENG Feng.Multi-supportedresponse spectrum method based on 3D spectrum of correlationcoefficients.[J].World Information on EarthquakeEngineering,2005,21(4):106.
[27]刘洪兵.大跨度桥梁考虑多点激励及地形效应的地震响应分析[D].北京:北京交通大学土木建筑工程学院,2000.LIU Hongbin.Seismic analysis of long-span bridges for multi-supported excitations and topographic effects[D].Beijing:School of Civil Engineering and Architecture of Beijing JiaotongUniverstiy,2000.
[28]李杰,李建华.多点激励下结构随机地震反应分析的反应谱方法[J].地震工程与工程振动,2004,24(3):21.LI Jie,LI Jianhua.A response spectrum method for randomvibration analysis of structures under multi-support excitations[J].Earthquake Engineering and Engineering Vibration,2004,24(3):21.
[29]王君杰.多点多维地震动随机模型及结构的反应谱分析方法[D].哈尔滨:国家地震局工程力学研究所,1992.WANG Junjie.Stochastic models of multi-support and multi-dimension seismic inputs and response spectrum method[D].Harbin:Institute of Engineering Mechanics of ChinaEarthquake Administration,1992.
[30]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.LIN Jiahao,ZHANG Yahui.Pseudo excitation method forrandom vibration[M].Beijing:Science Press,2004.
[31]王淑波.大型桥梁抗震反应谱分析理论及应用研究[D].上海:同济大学土木工程学院,1997.WANG Shubo.Response spectrum theory for long-span bridges[D].Shanghai:College of Civil Engineering of TongjiUniversity,1997.
[32]孙建梅.多点输入下大跨空间结构抗震性能和分析方法的研究[D].南京:东南大学土木工程学院,2005.SUN Jianmei.Research on seismic behavior and analysismethod of long-span space structures under multiple supportexcitations[D].Nanjing:College of Civil Engineering ofSoutheast University,2005.
[33]孙建梅,叶继红,程文瀼.多点输入反应谱中相关系数ρijkl的简化[J].工程力学,2006,23(7):124.SUN Jianmei,YE Jihong,CHENG Wenrang.The simplificationof the coherency coefficientsρijklin the multi-support responsespectrum[J].Engineering Mechanics,2006,23(7):124.
[34]Zembaty Z,Krenk S.Spatial seismic excitations and responsespectra[J].Journal of Engineering Mechanics,1993,119(12):2449.
[35]Jeng V,Kasai K.Spectral relative motion of two structuresdue to seismic travel waves[J].Journal of StructuralEngineering,1996,122(10):1128.
[36]Trifunac M D,Todorovska M I.Response spectra fordifferential motion of columns[J].Earthquake Engineering andStructural Dynamics,1997,26:251.
[37]Trifunac M D,Gicev V.Response spectra for differentialmotion of columns paper II[J].Soil Dynamics and EarthquakeEngineering,2005,26:1149.
[38]夏友柏,王年桥.多点地震激励下基于改进振型位移法的反应谱方法[J].世界地震工程,2003,19(1):164.XIA Youbo,WANG Nianqiao.The response spectrum methodbased on modified modal displacement method for multi-supportstructure[J].World Information on Earthquake Engineering,2003,19(1):164.
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