基于响应面法的复式钢箱提篮拱地震可靠度分析
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摘要
地震可靠度是桥梁抗震研究中的重要问题。基于随机分析的响应面理论和规范反应谱法,提出了一种分析具有随机结构参数的桥梁地震可靠度的方法,研究了复式钢箱提篮拱桥在地震激励下,结构设计基准期内的可靠度。分析时考虑了结构参数和场地土的随机性,分别计算了钢箱提篮拱桥主、副拱肋在多遇地震、设防地震和罕遇地震作用下的失效概率,得到了主、副拱肋在设计基准期内,按规范"三水准设防标准"条件下的地震可靠度。计算结果表明,该桥设计满足抗震规范要求。
Seismic reliability is very important to the seismic design of the bridge.Based on theory of the response surface of random vibration and response spectral method,an algorithm for the seismic reliability analysis of the structure with random parameters is proposed in this paper.The seismic reliabilities of the basket-handle arch subjected to seismic excitation in its design basic period are studied.The random of the structure parameters and the site condition of this bridge are taken into account when the arch ribs' failure seismic reliabilities are computed respectively at the low-level earthquake,design earthquake and high-level earthquake.According to the "three-level seismic fortification criterion" in the code for seismic design of bridge,the seismic reliabilities of the arch ribs are calculated in their design basic period.The conclusion shows that the design of this bridge meets the demands of the seismic code.
Seismic reliability is very important to the seismic design of the bridge.Based on theory of the response surface of random vibration and response spectral method,an algorithm for the seismic reliability analysis of the structure with random parameters is proposed in this paper.The seismic reliabilities of the basket-handle arch subjected to seismic excitation in its design basic period are studied.The random of the structure parameters and the site condition of this bridge are taken into account when the arch ribs' failure seismic reliabilities are computed respectively at the low-level earthquake,design earthquake and high-level earthquake.According to the "three-level seismic fortification criterion" in the code for seismic design of bridge,the seismic reliabilities of the arch ribs are calculated in their design basic period.The conclusion shows that the design of this bridge meets the demands of the seismic code.
引文
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[2]Xie Nan,Chen Yingjun.The reliability problem of train-run-ning safety for reinforced concrete railway bridge under earth-quake[J].Engineering Mechanics,2002,19(5):36-40.[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.]
[3]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.
[4]Zhang Xinpei.A method for calculating the reliability inde-xes of structures under small earthquake[J].Journal ofUESTof China,1994,23(3):274-279.[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.]
[5]Jin Cheng,Ru Chengxiao.Probabilistic free vibration andflutter analyses of suspension bridges[J].EngineeringStructures,2005,27(10):1509-1518.
[6]Cheng Jin.Probabilistic response analysis of geometricallynonlinear structures based on systematic response surfacemethod[J].Journal of Tongji University,2006,34(9):1147-1151.[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.]
[7]Bayer V,Schueller G I.Discussion on:A new look at theresponse surface approach for reliability[J].StructuralSafety,1994,16:227-234.
[8]Gayton N,Bourient J M,Lemaire M.Cumulative formationof response surface and its use in reliability analysis[J].Probabilistic Engineering Mechanics,2000,15:309-315.
[9]Gayton N,Bourient J M,Lemaire M.CQ2RS:A new sta-tistical approach to the response surface method for reliabili-ty analysis[J].Structural Safety,2003,25(1):99-121.
[10]Ou Jinping,Duan Yubo.Seismic reliability analysis andoptimum design of tall buildings[J].Earthquake Engineer-ing and Engineering Vibration,1995,15(1):1-13.[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.]
[11]Gao Xiaowang,Bao Aibin.Probabilistic model and its sta-tistical parameters for seismic load[J].Earthquake Engi-neering and Engineering Vibration,1985,5(1):13-22.[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.]
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