基于能力谱的概率-非概率结构体系抗震可靠度
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摘要
本文用概率模型考虑结构体系抗力不确定性的主要影响因素,用凸集模型考虑地震作用的不确定性,采用能力谱方法,分别求得了结构抗力的概率分布参数及地震作用效应的区间范围,通过二级功能方程方法求得了结构体系抗震可靠度。算例给出了本文方法的计算结果,并与经典概率可靠度进行了对比,表明本文方法是一种简便、合理的结构体系抗震可靠性分析方法。
In this paper,based on capacity spectrum method,the probability distribution parameters of structural resistance and the intervals of earthquake effects are calculated with the structural resistance uncertainty quantified by probability model and the earthquake effects uncertainty quantified by convex model.Then,the earthquake-resistant system reliability is calculated by two-stage functional equation methods.A numerical example results show that,compared with the results from the classic probabilistic reliability,the proposed method is a simple,reasonable structural reliability analysis method.
In this paper,based on capacity spectrum method,the probability distribution parameters of structural resistance and the intervals of earthquake effects are calculated with the structural resistance uncertainty quantified by probability model and the earthquake effects uncertainty quantified by convex model.Then,the earthquake-resistant system reliability is calculated by two-stage functional equation methods.A numerical example results show that,compared with the results from the classic probabilistic reliability,the proposed method is a simple,reasonable structural reliability analysis method.
引文
[1]李刚,程耿东.灾害荷载下结构体系失效模式的相关性及可靠度计算[J].工程力学.2001,18(3):1-9.LI Gang,CHENG Gengdong.Correlation between structural failure modes and calculation of system reliability under hazard loads[J].EngineeringMechanics,2001,18(3):1-9.(in Chinese)
[2]Krawinkler H,Seneviration G D P K.Pros and cons of a push-over analysis of seismic performance evaluation[J].Engineering Strutures,1998,20(5):452-464.
[3]侯爽,欧进萍.结构Pushover分析的侧向力分布及高阶振型影响[J].地震工程与工程振动,2004,24(3):89-97.HOU Shuang,OU Jinping.A study of load pattern selection of pushover analysis and influence of higher modes[J].Journal of Earthquake Engi-neering and Engineering Vibration,2004,24(3):89-97.(in Chinese)
[4]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报,2001,22(6):81-86.OU Jinping,HOU Gangling,WU Bin.Random pushover analysis method and its application in earthquake resistant reliability evaluation of struc-tural systems[J].Journal of Building Structures,2001,22(6):81-86.(in Chinese)
[5]候爽,欧进萍.钢筋混凝土框架结构体系抗震可靠度及其抗力衰减影响分析[J].地震工程与工程振动,2006,26(5):114-119.HOU Shuang,OU Jinping.Earthquake-resistant system reliability analysis of reinforced concrete frame structure and the influence of resistanceattenuation[J].Journal of Earthquake Engineering and Engineering Vibration,2006,26(5):114-119.(in Chinese)
[6]Yi W J,Zhang H Y,Kunnath S K.Probabilistic constant-strength ductility demand spectra[J].Journal of Structural Engineering,2007,133(4):567-575.
[7]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46-50.ZHANG Zhiying,ZHANG Jinghui.A bounded convex model with two spectrum-parameters for worst response to earthquake[J].Journal of Xi’anJiaotong University,1999,33(2):46-50.(in Chinese)
[8]张之颖,张景绘,吕西林.工程地震凸集方法的实用化研究[J].西安交通大学学报,2000,34(7):400-403ZHANG Zhiying,ZHANG Jinghui,LV Xilin.Practical study of convex models in earthquake engineering[J].Journal of Xi’an Jiaotong Universi-ty,2000,34(7):400-403.(in Chinese)
[9]Ben-Haim Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[10]Elishakoff I.Essay on uncertainties in elastic and viscoelastic structures:from AM Freudenthal’s criticisms to modern convex modeling[J].Com-puters and Structures,1995,56(6):871-95.
[11]郭书祥,吕震宙.结构可靠性分析的概率和非概率混合模型[J].机械强度,2002,24(4):524-526.GUO Shuxiang,LV Zhenyu.Hybrid probabilistic and non-probabilistic model of structural reliability[J].Journal of Mechanical Strength,2002,24(4):524-526.(in Chinese)
[12]Gao W,Song C M,Tin-Loi F.Probabilistic interval analysis for structures with uncertainty[J].Structural Safety,2010,32(2):191-199.
[13]Qiu Z P,Wang J.The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system[J].Engineering Failure A-nalysis.2010,17(5):1142-1154.
[14]FEMA273.NEHRP guidelines for the seismic rehabilitation of building[S].Federal Emergency Management Agncy,Washington D C,1997.
[15]Krawinkler H,Nassra A A.“Seismic design based on ductility and cumulative damage demands and capacities”in“Nonlinear seismic analysisand design of reinfored concrete buildings”[M].Eds P.Fajfar and H.Krawinkler.New York:Elsevier Applied Science,1992:95-104.
[16]Chopra A K,Goel K.Capacity-demand-diagram methods based on inelastic design spectrum[J].Earthquake Spectra,1999,15(4):637-656.
[17]Park Y J,Ang A HS.Mechanistic seismic damage model for reinfored concrete[J].Journal of Structural Engineering.ASCE,1985,111(4):722-739.
[18]欧进萍,何政,吴斌,等.钢筋混凝土结构基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(1):21-30.OU Jinping,HE Zheng,WU Bin.et al.Seismic damage performance-based design of reinforced concrete structures[J].Journal of EarthquakeEngineering and Engineering Vibration,1999,19(1):21-30.(in Chinese)
[19]吴波,李惠,李玉华.结构损伤分析的力学方法[J].地震工程与工程振动,1997,17(1):14-21.WU Bo,LI Hui,LI Yuhua.The mechanic method for damage analysis of structures[J].Journal of Earthquake Engineering and Engineering Vi-bration,1997,17(1):14-21.(in Chinese)
[20]Faifar P.Capacity spectrum method based on inelastic demand spectra[J].Earthquake Engineering and Structural Dynamics,1999,28(3):979-993.
[2]Krawinkler H,Seneviration G D P K.Pros and cons of a push-over analysis of seismic performance evaluation[J].Engineering Strutures,1998,20(5):452-464.
[3]侯爽,欧进萍.结构Pushover分析的侧向力分布及高阶振型影响[J].地震工程与工程振动,2004,24(3):89-97.HOU Shuang,OU Jinping.A study of load pattern selection of pushover analysis and influence of higher modes[J].Journal of Earthquake Engi-neering and Engineering Vibration,2004,24(3):89-97.(in Chinese)
[4]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报,2001,22(6):81-86.OU Jinping,HOU Gangling,WU Bin.Random pushover analysis method and its application in earthquake resistant reliability evaluation of struc-tural systems[J].Journal of Building Structures,2001,22(6):81-86.(in Chinese)
[5]候爽,欧进萍.钢筋混凝土框架结构体系抗震可靠度及其抗力衰减影响分析[J].地震工程与工程振动,2006,26(5):114-119.HOU Shuang,OU Jinping.Earthquake-resistant system reliability analysis of reinforced concrete frame structure and the influence of resistanceattenuation[J].Journal of Earthquake Engineering and Engineering Vibration,2006,26(5):114-119.(in Chinese)
[6]Yi W J,Zhang H Y,Kunnath S K.Probabilistic constant-strength ductility demand spectra[J].Journal of Structural Engineering,2007,133(4):567-575.
[7]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46-50.ZHANG Zhiying,ZHANG Jinghui.A bounded convex model with two spectrum-parameters for worst response to earthquake[J].Journal of Xi’anJiaotong University,1999,33(2):46-50.(in Chinese)
[8]张之颖,张景绘,吕西林.工程地震凸集方法的实用化研究[J].西安交通大学学报,2000,34(7):400-403ZHANG Zhiying,ZHANG Jinghui,LV Xilin.Practical study of convex models in earthquake engineering[J].Journal of Xi’an Jiaotong Universi-ty,2000,34(7):400-403.(in Chinese)
[9]Ben-Haim Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[10]Elishakoff I.Essay on uncertainties in elastic and viscoelastic structures:from AM Freudenthal’s criticisms to modern convex modeling[J].Com-puters and Structures,1995,56(6):871-95.
[11]郭书祥,吕震宙.结构可靠性分析的概率和非概率混合模型[J].机械强度,2002,24(4):524-526.GUO Shuxiang,LV Zhenyu.Hybrid probabilistic and non-probabilistic model of structural reliability[J].Journal of Mechanical Strength,2002,24(4):524-526.(in Chinese)
[12]Gao W,Song C M,Tin-Loi F.Probabilistic interval analysis for structures with uncertainty[J].Structural Safety,2010,32(2):191-199.
[13]Qiu Z P,Wang J.The interval estimation of reliability for probabilistic and non-probabilistic hybrid structural system[J].Engineering Failure A-nalysis.2010,17(5):1142-1154.
[14]FEMA273.NEHRP guidelines for the seismic rehabilitation of building[S].Federal Emergency Management Agncy,Washington D C,1997.
[15]Krawinkler H,Nassra A A.“Seismic design based on ductility and cumulative damage demands and capacities”in“Nonlinear seismic analysisand design of reinfored concrete buildings”[M].Eds P.Fajfar and H.Krawinkler.New York:Elsevier Applied Science,1992:95-104.
[16]Chopra A K,Goel K.Capacity-demand-diagram methods based on inelastic design spectrum[J].Earthquake Spectra,1999,15(4):637-656.
[17]Park Y J,Ang A HS.Mechanistic seismic damage model for reinfored concrete[J].Journal of Structural Engineering.ASCE,1985,111(4):722-739.
[18]欧进萍,何政,吴斌,等.钢筋混凝土结构基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(1):21-30.OU Jinping,HE Zheng,WU Bin.et al.Seismic damage performance-based design of reinforced concrete structures[J].Journal of EarthquakeEngineering and Engineering Vibration,1999,19(1):21-30.(in Chinese)
[19]吴波,李惠,李玉华.结构损伤分析的力学方法[J].地震工程与工程振动,1997,17(1):14-21.WU Bo,LI Hui,LI Yuhua.The mechanic method for damage analysis of structures[J].Journal of Earthquake Engineering and Engineering Vi-bration,1997,17(1):14-21.(in Chinese)
[20]Faifar P.Capacity spectrum method based on inelastic demand spectra[J].Earthquake Engineering and Structural Dynamics,1999,28(3):979-993.
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