高墩大跨连续刚构铁路桥抗震可靠度分析
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摘要
考虑结构参数随机性的动力可靠度是桥梁抗震研究中的重要问题。本文基于随机分析的响应面理论和规范反应谱方法,提出一种分析具有随机结构参数桥梁抗震可靠度的方法。通过拟合的多项式函数来近似替代表示结构随机输入与输出变量之间作用关系的功能函数,按照结构的破坏准则及其极限状态方程,进行可靠度分析。运用该方法研究高墩大跨连续刚构桥在地震激励下设计基准期内的动力可靠度,分析时考虑结构参数和场地土的随机性,分别计算连续刚构在多遇地震、设防地震和罕遇地震作用下的失效概率,得到结构在设计基准期内,"三水准设防标准"条件下的地震可靠度。结果表明,该桥设计满足抗震规范要求。
Dynamic reliability of the structures with random parameters is very important to the anti-seismic design of bridges.Based on the theory of the response surface of random vibration and response spectral method,an algorithm for the anti-seismic reliability analysis of the structure with random parameters is proposed.The response surfaces generally take an approximate polynomial form to replace the function which denotes the relationships of the input random parameters and the output parameters.The reliabilities are studied according to structural failure criterions and the equations under their limit states.The anti-seismic reliabilities of the high-pier long-span continuous rigid frame subjected to seismic excitation in its design base period are studied by this method.The random of the structure parameters and site conditions of this bridge is taken into account when the failure probabilities of anti-seismic reliabilities are computed respectively for the frequently-occurring low-level earthquake,resistance-designed earthquake and rarely-occurring high-level earthquake.According to the "three-level anti-seismic criterions" in the code for anti-seismic design of bridges,the anti-seismic reliabilities of the bridge are calculated for their design base period.The conclusion shows that the design of this bridge meets the demands of the anti-seismic code.
Dynamic reliability of the structures with random parameters is very important to the anti-seismic design of bridges.Based on the theory of the response surface of random vibration and response spectral method,an algorithm for the anti-seismic reliability analysis of the structure with random parameters is proposed.The response surfaces generally take an approximate polynomial form to replace the function which denotes the relationships of the input random parameters and the output parameters.The reliabilities are studied according to structural failure criterions and the equations under their limit states.The anti-seismic reliabilities of the high-pier long-span continuous rigid frame subjected to seismic excitation in its design base period are studied by this method.The random of the structure parameters and site conditions of this bridge is taken into account when the failure probabilities of anti-seismic reliabilities are computed respectively for the frequently-occurring low-level earthquake,resistance-designed earthquake and rarely-occurring high-level earthquake.According to the "three-level anti-seismic criterions" in the code for anti-seismic design of bridges,the anti-seismic reliabilities of the bridge are calculated for their design base period.The conclusion shows that the design of this bridge meets the demands of the anti-seismic code.
引文
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[13]李桂青,等.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.
[2]谢楠,陈英俊.铁路桥梁在地震作用下考虑行车安全的可靠度问题[J].工程力学,2002,19(5):36-40.XIE Nan,CHEN Ying-jun.The Reliability Problem ofTrain-running Safety for Reinforced Concrete Rail wayBridge under Earthquake[J].Engineering Mechanics,2002,19(5):36-40.
[3]李杰.结构动力分析的若干发展趋势[J].世界地震工程,1993,(2):1-8.LI Jie.Some Developments and Future Trends in DynamicAnalysis of Structures[J].World Earthquake Engineering,1993,(2):1-8.
[4]赵国藩.工程结构可靠度理论与应用[M].大连:大连理工大学出版社,1996.
[5]张新培.小震作用下结构可靠度指标β的计算方法[J].电子科技大学学报,1994,23(3):274-279.ZHANG Xin-pei.A Method for Calculating the ReliabilityIndexes of Structures under Small Earthquake[J].Journalof UEST of China,1994,23(3):274-279.
[6]Box G E P,Wilton K B.On the Experi mental Attainmentof Opti mumConditions[J].Journal of the Royal StatisticalSociety,1951,Series B:13.
[7]Cheng Jin,Xiao Ru-cheng.Probabilistic Free Vibration andFlutter Analyses of Suspension Bridges[J].EngineeringStructures,2005,27(10):1509-1518.
[8]程进.基于响应面法的几何非线性结构概率响应分析[J].同济大学学报,2006,34(9):1147-1151.CHENGJin.Probabilistic Response Analysis of Geometri-cally Nonlinear Structures Based on Systematic ResponseSurface Method[J].Journal of TongJi University,2006,34(9):1147-1151.
[9]欧进萍,段宇博.高层建筑结构的抗震可靠度分析与优化设计[J].地震工程与工程振动,1995,15(1):1-13.OUJin-ping,DUAN Yu-bo.Seismic Reliability Analysisand Opti mum Design of Tall Buildings[J].Earthquake En-gineering and Engineering Vibration,1995,15(1):1-13.
[10]高小旺,鲍霭斌.地震作用的概率模型及其统计参数[J].地震工程与工程振动,1985,5(1):13-22.GAO Xiao-wang,BAO Ai-bin.Probabilistic model anditsstatistical parameters for seismic load[J].Earthquake En-gineering and Engineering Vibration,1985,5(1):13-22.
[11]Mander J B,Priestley MJ N,Park R.Observed Stress-strain of Confined Concrete[J].ASCE Journal of Struc-tural Engineer.,1988,114(8):1827-1849.
[12]范立础,胡世德,叶爱君.大跨度桥梁抗震设计[M].北京:人民交通出版社,2001.
[13]李桂青,等.结构动力可靠性理论及其应用[M].北京:地震出版社,1993.
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