混凝土结构地震需求参数敏感性分析
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摘要
对基本不确定因素通过结构体系进行传递,并对使结构的地震需求参数出现不确定性的过程进行分析,探讨将FOSM法、Tornado图形法和直接统计法应用于敏感性分析的优势和局限性。以1个典型混凝土框架结构为例,综合运用一次二阶矩方法、Tornado图表法和直接统计法,估计4种结构地震需求参数对于一系列基本不确定因素的敏感度,进而对基本不确定因素的重要性进行排序。研究结果表明:结构的地震需求对地震动的强度和特征最敏感,其次为结构阻尼、质量和混凝土抗压强度,而对其他不确定因素不太敏感,这为结构随机地震反应分析以及概率地震需求分析提供了依据。
The uncertainty generation of earthquake demand parameters(EDP) caused by a series of basic uncertain factors was analyzed.The advantages and limitations of FOSM method,Tornado Diagram method and mathematical statistics method were discussed for sensitivity analysis.Taking a typical frame structure as an example,the sensitivity of four kinds of earthquake demand parameters to a series of basic uncertainties was estimated using the three kinds of methods and the basic uncertainties were sorted according to their importance obtained by sensitivity analysis.The results show that EDP are the most sensitive to the intensity measure and the profile of ground motions,rather less sensitive to the viscous damp,the mass and the concrete compressive strength,but not sensitive to other basic uncertainties,which provides the evidence for the random response and probabilistic seismic demand analysis of structures efficiently.
The uncertainty generation of earthquake demand parameters(EDP) caused by a series of basic uncertain factors was analyzed.The advantages and limitations of FOSM method,Tornado Diagram method and mathematical statistics method were discussed for sensitivity analysis.Taking a typical frame structure as an example,the sensitivity of four kinds of earthquake demand parameters to a series of basic uncertainties was estimated using the three kinds of methods and the basic uncertainties were sorted according to their importance obtained by sensitivity analysis.The results show that EDP are the most sensitive to the intensity measure and the profile of ground motions,rather less sensitive to the viscous damp,the mass and the concrete compressive strength,but not sensitive to other basic uncertainties,which provides the evidence for the random response and probabilistic seismic demand analysis of structures efficiently.
引文
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[14]GB 50010—2002,混凝土结构设计规范[S].GB 50010—2002,Code for design of concrete structures[S].
[15]GB 50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for seismic design of buildings[S].
[16]欧进萍,段宇博,刘会仪.结构随机地震作用及其统计参数[J].哈尔滨建筑工程学院学报,1994,27(5):1-9.OU Jing-ping.DUAN Yu-bo,LIU Hui-yi.Structural random earthquake action and its statistical parameters[J].Journal ofHarbin Architectural and Civil Engineering Institute,1994,27(5):1-9.
[17]周文峰,黄宗明,白绍良.约束混凝土几种有代表性应力-应变模型及其比较[J].重庆建筑大学学报,2003,25(4):121-127.ZHOU Wen-feng,HUANG Zong-ming,BAI Shao-liang.Introduction and comparison of several representativeconfinement models for concrete[J].Journal of ChongqingArchitecture University,2003,25(4):121-127.
[18]Bazzurro P.Probabilistic seismic demand analysis[D].Stanford:Stanford University.Department of Civil and EnvironmentalEngineering,1998:151-162.
[19]Jalayer F.Direct probabilistic seismic analysis:implementingnon-linear dynamic assessments[D].Stanford:StanfordUniversity.Department of Civil and Environmental Engineering,2003:201-220.
[2]Bake J W,Cornell C A.Uncertainty specification andpropagation for loss estimation using FOSM methods[R].Berkeley:University of California.Pacific EarthquakeEngineering Research Center,2003:68-82.
[3]Aslani H,Miranda E.Probabilistic response assessment forbuilding-specific loss estimation[R].Berkeley:University ofCalifornia.Pacific Earthquake Engineering Research Center,2003:38-56.
[4]IS 02394,General Principles on reliability for structures[S].
[5]GB 50068—2001,建筑结构可靠度设计统一标准[S].GB 50068—2001,Unified standard for reliability design ofbuilding structures[S].
[6]Hyung T L.Probabilistic seismic evaluation of reinforcedconcrete structural components and systems[D].Berkeley:University of California.Department of Civil and EnvironmentalEngineering,2005:138-161.
[7]Vidic T,Fajfar P,Fischinger M.Consistent inelastic designspectra:Strength and displacement[J].Earthquake Engineeringand Structural Dynamics,1994,23:507-521.]
[8]尹犟.混凝土结构地震需求估计方法研究[D].长沙:湖南大学土木工程学院,2011:86-90.YIN Jiang.The study of seismic demand estimation method ofreinforced concrete structures[D].Changsha:Hunan University.College of Civil Engineering,2011:86-90.
[9]高小旺,鲍霭斌.地震作用的概率模型及统计参数[J].地震工程与工程振动,1985,5(1):13-21.GAO Xiao-wang,BAO Ai-bin.Probabilistic model and itsstatistical parameters for seismic load[J].EarthquakeEngineering and Engineering Vibration,1985,5(1):13-21.
[10]Vrouwenvelder T.The JCSS probabilistic model code[J].Structural Safety,1997,19(3):245-251.
[11]MirzA S A,Hatzinikolas M,Macgregor J G.Statisticaldescriptions of strength of concrete[J].Journal of StructuralDivision,1979,105(6):1021-1037.
[12]Mirza S A,Macgregor J G.Variability of mechanical propertiesof reinforced bars[J].Journal of Structural Division,1979,105(5):921-937.
[13]胡晓鹏,牛狄涛,薛国辉.住宅结构抗力的调查与统计分析[J].哈尔滨工业大学学报,2008,40(6):978-981.HU Xiao-peng,NIU Di-tao,XUE Guo-hui.Investigation andstatistical analysis on resistance of residential buildings[J].Journal of Harbin Institute of Technology,2008,40(6):978-981.
[14]GB 50010—2002,混凝土结构设计规范[S].GB 50010—2002,Code for design of concrete structures[S].
[15]GB 50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for seismic design of buildings[S].
[16]欧进萍,段宇博,刘会仪.结构随机地震作用及其统计参数[J].哈尔滨建筑工程学院学报,1994,27(5):1-9.OU Jing-ping.DUAN Yu-bo,LIU Hui-yi.Structural random earthquake action and its statistical parameters[J].Journal ofHarbin Architectural and Civil Engineering Institute,1994,27(5):1-9.
[17]周文峰,黄宗明,白绍良.约束混凝土几种有代表性应力-应变模型及其比较[J].重庆建筑大学学报,2003,25(4):121-127.ZHOU Wen-feng,HUANG Zong-ming,BAI Shao-liang.Introduction and comparison of several representativeconfinement models for concrete[J].Journal of ChongqingArchitecture University,2003,25(4):121-127.
[18]Bazzurro P.Probabilistic seismic demand analysis[D].Stanford:Stanford University.Department of Civil and EnvironmentalEngineering,1998:151-162.
[19]Jalayer F.Direct probabilistic seismic analysis:implementingnon-linear dynamic assessments[D].Stanford:StanfordUniversity.Department of Civil and Environmental Engineering,2003:201-220.
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