基于FORM有限元可靠度方法的结构整体概率抗震能力分析
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摘要
将多级力控制Pushover分析方法与一次可靠度方法(First Order Reliability Method,FORM)相结合,提出了结构整体概率抗震能力分析的FORM有限元可靠度方法。利用OpenSees的有限元可靠度分析模块,将该方法应用于钢筋混凝土框架结构,并与蒙特卡洛模拟法分析结果进行对比。结果表明:该方法具有较高的精度和效率,为结构整体概率抗震能力分析提供了另外一种思路。
A new approach for the global seismic capacity analysis of structures by combining multi-level force controlled Pushover analysis with the first order reliability method(FORM) together is proposed.The new approach is applied to R.C.frame structures by employing the finite element reliability module consisted in OpenSees,whose computational accuracy and efficiency is investigated by comparing with Monte Carlo simulation technique.The results demonstrate that the FORM finite element reliability method can estimate global capacity of structures accurately and efficiently,which offers another alternative for global probabilistic seismic capacity analyses.
A new approach for the global seismic capacity analysis of structures by combining multi-level force controlled Pushover analysis with the first order reliability method(FORM) together is proposed.The new approach is applied to R.C.frame structures by employing the finite element reliability module consisted in OpenSees,whose computational accuracy and efficiency is investigated by comparing with Monte Carlo simulation technique.The results demonstrate that the FORM finite element reliability method can estimate global capacity of structures accurately and efficiently,which offers another alternative for global probabilistic seismic capacity analyses.
引文
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[2]李刚,程耿东.基于性能的结构抗震设计——理论、方法与应用[M].北京:科学出版社,2004.Li Gang,Cheng Gengdong.Performance-based structuralseismic design―theory,method and application[M].Beijing:Science Press,2004.(in Chinese)
[3]李国强,刘玉姝,赵欣.钢结构框架体系高等分析与系统可靠度设计[M].北京:中国建筑工业出版社,2006.Li Guoqiang,Liu Yushu,Zhao Xin.Steel frame structuraladvanced analysis and system reliability design[M].Beijing:China Architecture&Building Press,2006.(inChinese)
[4]Der Kiureghian A,Taylor R L.Numerical methods instructural reliability[C]//(Pitagora Ed),Bologna 4thInternational Conference on Applications of Statisticsand Probability in Soil and Structural Engineering.Florence Italy,1983:769―784.
[5]Der Kiureghian A,Ke J B.The stochastic finite elementmethod in structural reliability[J].ProbabilisticEngineering Mechanics,1988,3(2):83―91.
[6]Haldar A,Mahadevan S.Reliability assessment usingstochastic finite element analysis[M].America:JohnWiley,2000.
[7]吴世伟.结构可靠度分析[M].北京:人民交通出版社,1990.Wu Shiwei.Structural reliability analysis[M].Beijing:China Communications Press,1990.(in Chinese)
[8]秦权,林道锦,梅刚.结构可靠度随机有限元及工程应用[M].北京:清华大学出版社,2005.Qin Quan,Lin Daojin,Mei Gang.Reliability stochasticfinite element methods,theory and applications[M].Beijing:Tsinghua University Press,2005.(in Chinese)
[9]刘宁.可靠度随机有限元法及其工程应用[M].北京:中国水利水电出版社,2001.Liu Ning.Reliability stochastic finite element methodand its application to engineering[M].Beijing:ChinaWater Power Press,2001.(in Chinese)
[10]廖汶,卢文达,刘文怀.双曲冷却塔结构非线性有限元可靠度分析[J].工程力学,1999,16(1):49―55.Liao Wen,Lu Wenda,Liu Wenhuai.Structural nonlinearfinite reliability analysis of hyperbolic thin-shell coolingtowers[J].Engineering Mechanics,1999,16(1):49―55.(in Chinese)
[11]林道锦,秦权.一座现有拱桥面内失稳的可靠度随机有限元分析[J].工程力学,2005,22(6):122―126.Lin Daojin,Qin Quan.Reliability stochastic finiteelement analysis of in-plane buckling of an existing archbridge[J].Engineering Mechanics,2005,22(6):122―126.(in Chinese)
[12]吕大刚,李晓鹏,王光远.基于可靠度和性能的结构整体地震易损性分析[J].自然灾害学报,2006,15(2):107―114.Lu Dagang,Li Xiaopeng,Wang Guangyuan.Globalseismic fragility analysis based on reliability andperformance[J].Journal of Natural Disasters,2006,15(2):107―114.(in Chinese)
[13]吕大刚,王光远.基于可靠度和灵敏度的结构局部地震易损性分析[J].自然灾害学报,2006,15(4):157―162.Lu Dagang,Wang Guangyuan.Local seismic fragilityanalysis based on reliability and sensitivity[J].Journal ofNatural Disasters,2006,15(4):157―162.(in Chinese)
[14]于晓辉,吕大刚,王光远.多级力控制随机Pushover分析[J].工程力学,2010,27(增刊I):6―10.Yu Xiaohui,Lu Dagang,Wang Guangyuan.Multi-levelforce controlled Pushover method[J].EngineeringMechanics,2010,27(Sup.I):6―10.(in Chinese)
[15]吕大刚,于晓辉,王光远.基于MVFOSM有限元可靠度方法的结构整体概率抗震能力分析[J].世界地震工程,2008,24(2):1―8.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Globalprobabilistic seismic capacity analysis of structures basedon MVFOSM finite element reliability method[J].WorldEarthquake Engineering,2008,24(2):1―8.(in Chinese)
[16]吕大刚,于晓辉,王光远.基于Zhou-Nowak数值积分法的结构整体概率抗震能力分析[J].世界地震工程,2008,24(3):7―13.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Globalprobabilistic seismic capacity analysis of structures basedon Zhou-Nowak numerical integration method[J].WorldEarthquake Engineering,2008,24(3):7―13.(inChinese)
[17]吕大刚,于晓辉,王光远.基于改进点估计法的结构整体概率抗震能力分析[J].世界地震工程,2008,24(4):7―13.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Globalprobabilistic seismic capacity analysis of structures basedon improved point estimation method[J].WorldEarthquake Engineering,2008,24(4):7―13.(inChinese)
[18]GB50011-2001,建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.GB 50011-2001,Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2001.(in Chinese)
[19]Melchers R E.Structural reliability:Analysis andprediction[M].2nd ed.New York,NY:John Wiley,1999.
[20]Liu P L,Der Kiureghian A.Multivariate distributionmodels with prescribed marginal and covariance[J].Probabilistic Engineering Mechanics,1986,1(2):105―112.
[21]吕大刚.基于线性化Nataf变换的一次可靠度方法[J].工程力学,2007,24(5):79―86,124.Lu Dagang.First order reliability method based onlinearized Nataf transformation[J].EngineeringMechanics,2007,24(5):79―86,124.(in Chinese)
[22]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2007.Zhao Guofan,Jin Weiliang,Gong Jinxin.Structuralreliability theory[M].Beijing:China Architecture&Building Press,2007.(in Chinese)
[23]Haukaas T.Finite element reliability and sensitivitymethods for performance-based engineering[D].UC.Berkeley,2003.
[24]Mander J B,Priestley M J,Park R.Theoreticalstress-strain model for confined concrete[J].Journal ofStructural Engineering,ASCE,1988,114(8):1804―1826.
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