考虑结构不确定性的地震倒塌易损性分析
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摘要
传统的地震倒塌易损性分析中通常只考虑地震动不确定性的影响。在结构临近倒塌时,通常处于高度非线性状态,会出现结构不确定性与地震动不确定性的耦合放大现象。针对这一问题,将平均值一次二阶矩方法(MVFOSM)与逐步增量动力分析(IDA)相结合,提出了一种可以考虑结构不确定性的基于MVFOSM的随机IDA方法。以五层三跨钢筋混凝土框架结构为例,采用基于MVFOSM的随机IDA方法对其进行了地震倒塌易损性分析,并利用"龙卷风图"方法对结构抗地震倒塌能力的灵敏度进行了分析。研究表明:结构不确定性的存在使得结构抗地震倒塌能力的对数标准差增加了70%,因此有必要在地震倒塌易损性分析中考虑结构不确定性的影响。
In general,conventional seismic collapse fragility only incorporates the uncertainties in earthquakes.When a structure is near to collapse,it will illustrate highly nonlinear behavior.Structural nonlinearity may be then coupled with structural uncertainty,resulting in magnified influences on structural seismic collapse capacity.This study presents a MVFOSM-based(mean value first order second moment) random IDA(incremental dynamic analysis) approach,which combines the MVFOSM with IDA.A five-story and three-bay RC frame structure designed according to Chinese codes was used to conduct seismic collapse fragility analysis using the proposed MVFOSM-based random IDA approach.The sensitivities of the considered structural random parameters were illustrated through ‘tornado diagram’.The results show that the standard deviation of the seismic collapse capacity is increased by 70 percent due to structural uncertainties.Therefore,it's reasonable to consider structural uncertainty in seismic collapse fragility analysis.
In general,conventional seismic collapse fragility only incorporates the uncertainties in earthquakes.When a structure is near to collapse,it will illustrate highly nonlinear behavior.Structural nonlinearity may be then coupled with structural uncertainty,resulting in magnified influences on structural seismic collapse capacity.This study presents a MVFOSM-based(mean value first order second moment) random IDA(incremental dynamic analysis) approach,which combines the MVFOSM with IDA.A five-story and three-bay RC frame structure designed according to Chinese codes was used to conduct seismic collapse fragility analysis using the proposed MVFOSM-based random IDA approach.The sensitivities of the considered structural random parameters were illustrated through ‘tornado diagram’.The results show that the standard deviation of the seismic collapse capacity is increased by 70 percent due to structural uncertainties.Therefore,it's reasonable to consider structural uncertainty in seismic collapse fragility analysis.
引文
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[8]陆新征,施炜,张万开,等.三维地震动输入对IDA倒塌易损性分析的影响[J].工程抗震与加固改造,2011,33(6):1-7.(Lu Xinzheng,Shi Wei,ZhangWankai,et al.Influence of three-dimensional groundmotion input on IDA-based collapse fragility analysis[J].Earthquake Resistant Engineering andRetrofitting,2011,33(6):1-7.(in Chinese))
[9]吕大刚,于晓辉,陈志恒.钢筋混凝土框架结构侧向倒塌的地震易损性分析[J].哈尔滨工业大学学报,2011,43(6):1-5.(LDagang,YU Xiaohui,CHEN Zhiheng.Lateral seismic collapse fragilityanalysis of RC frame structures[J].Journal of HarbinInstitute of Technology,2011,43(6):1-5.(inChinese))
[10]李磊,郑山锁,李谦.基于IDA的型钢混凝土框架的地震易损性分析[J].广西大学学报:自然科学版,2011,36(4):535-540.(LI Lei,ZHENG Shan-suo,LI Qian.Seismic fragility analysis of SRCstructures based on IDA method[J].Journal ofGuangxi University:Natural Science Edition,2011,36(4):535-540.(in Chinese))
[11]吕大刚,于晓辉,王光远.单地震动记录随机增量动力分析[J].工程力学,2010,27(增刊I):53-58.(LüDa-gang,Yu Xiao-hui,Wang Guang-yuan.Single-record random incremental dynamic analysis[J].Engineering Mechanics,2010,27(suppl.I):53-58.(in Chinese))
[12]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(GB 50011—2010 Codefor seismic design of buildings[S].Beijing:ChinaArchitecture&Building Press,2010.(in Chinese))
[13]吕大刚,于晓辉,王光远.基于单地震动记录IDA方法的结构倒塌分析[J].地震工程与工程振动,2009,29(6):33-39.(LDagang,YU Xiaohui,Wang Guangyuan.Structural collapse analysis based onsingle-record IDA method[J].Earthquake Engineeringand Engineering Variation,2009,29(6):33-39.(inChinese))
[14]于晓辉.钢筋混凝土框架结构的概率地震易损性与风险分析[D].哈尔滨:哈尔滨工业大学,2012:96-100.(Yu Xiaohui.Probabilistic seismic fragility andrisk analysis of RC frame structures[D].Harbin:Harbin Institute of Technology,2012:96-100.(inChinese))
[15]Barbato M,Gu Q,Conte J P.Probabilistic push-overanalysis of structural and soil-structure systems[J].Journal of Structural Engineering,ASCE,2010,136(11):1330-1341.
[16]Pacific Earthquake Engineering Research Center.PEERstrong motion database[DB/OL].[2009-08-10].http://peer.berkeley.edu/smcat.
[2]Vamvatsikos D,Cornell C A.Incremental dynamicanalysis[J].Earthquake Engineering and StructuralDynamics,2002,31(3):491-514.
[3]Federal Emergency Management Agency.Recommended seismic design criteria for new steelmoment-frame buildings[R].Report No.FEMA-350,SAC Joint Venture.Washington DC:FederalEmergency Management Agency,2000:A-16.
[4]马千里,叶列平,陆新征,等.采用逐步增量弹塑性时程方法对RC框架结构推覆分析侧力模式的研究[J].建筑结构学报,2008,29(2):132-140.(MAQianli,YE Lieping,LU Xinzheng,et al.Study onlateral load patterns of pushover analysis usingincremental analysis for RC frame structures[J].Journal of Building Structures,2008,29(2):132-140.(in Chinese))
[5]周颖,吕西林,卜一.增量动力分析法在高层混合结构性能评估中的应用[J].同济大学学报:自然科学版,2010,38(2):83-87.(ZHOU Ying,LU Xilin,BO Yi.Application of incremental dynamic analysis toseismic evaluation of hybrid structure[J].Journal ofTongji University:Natural Science,2010,38(2):83-87.(in Chinese))
[6]汪梦甫,曹秀娟,孙文林.增量动力分析方法的改进及其在高层混合结构地震危害性评估中的应用[J].工程抗震与加固改造,2010,32(1):104-109.(Wang Mengfu,Cao Xiujuan,Sun Wenlin.Incremental dynamic analysis applied to seismic riskassessment of hybrid structure[J].EarthquakeResistant Engineering and Retrofitting,2010,32(1):104-109.(in Chinese))
[7]施炜,叶列平,陆新征,等.不同抗震设防RC框架结构抗倒塌能力的研究[J].工程力学,2011,28(3):41-48.(SHI Wei,YE Lie-ping,LU Xin-zheng,et al.Study on the collapse-resistant capacity of RCframes with different seismic fortification levels[J].Engineering Mechanics,2011,28(3):41-48.(inChinese))
[8]陆新征,施炜,张万开,等.三维地震动输入对IDA倒塌易损性分析的影响[J].工程抗震与加固改造,2011,33(6):1-7.(Lu Xinzheng,Shi Wei,ZhangWankai,et al.Influence of three-dimensional groundmotion input on IDA-based collapse fragility analysis[J].Earthquake Resistant Engineering andRetrofitting,2011,33(6):1-7.(in Chinese))
[9]吕大刚,于晓辉,陈志恒.钢筋混凝土框架结构侧向倒塌的地震易损性分析[J].哈尔滨工业大学学报,2011,43(6):1-5.(LDagang,YU Xiaohui,CHEN Zhiheng.Lateral seismic collapse fragilityanalysis of RC frame structures[J].Journal of HarbinInstitute of Technology,2011,43(6):1-5.(inChinese))
[10]李磊,郑山锁,李谦.基于IDA的型钢混凝土框架的地震易损性分析[J].广西大学学报:自然科学版,2011,36(4):535-540.(LI Lei,ZHENG Shan-suo,LI Qian.Seismic fragility analysis of SRCstructures based on IDA method[J].Journal ofGuangxi University:Natural Science Edition,2011,36(4):535-540.(in Chinese))
[11]吕大刚,于晓辉,王光远.单地震动记录随机增量动力分析[J].工程力学,2010,27(增刊I):53-58.(LüDa-gang,Yu Xiao-hui,Wang Guang-yuan.Single-record random incremental dynamic analysis[J].Engineering Mechanics,2010,27(suppl.I):53-58.(in Chinese))
[12]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(GB 50011—2010 Codefor seismic design of buildings[S].Beijing:ChinaArchitecture&Building Press,2010.(in Chinese))
[13]吕大刚,于晓辉,王光远.基于单地震动记录IDA方法的结构倒塌分析[J].地震工程与工程振动,2009,29(6):33-39.(LDagang,YU Xiaohui,Wang Guangyuan.Structural collapse analysis based onsingle-record IDA method[J].Earthquake Engineeringand Engineering Variation,2009,29(6):33-39.(inChinese))
[14]于晓辉.钢筋混凝土框架结构的概率地震易损性与风险分析[D].哈尔滨:哈尔滨工业大学,2012:96-100.(Yu Xiaohui.Probabilistic seismic fragility andrisk analysis of RC frame structures[D].Harbin:Harbin Institute of Technology,2012:96-100.(inChinese))
[15]Barbato M,Gu Q,Conte J P.Probabilistic push-overanalysis of structural and soil-structure systems[J].Journal of Structural Engineering,ASCE,2010,136(11):1330-1341.
[16]Pacific Earthquake Engineering Research Center.PEERstrong motion database[DB/OL].[2009-08-10].http://peer.berkeley.edu/smcat.
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