基于FORM的斜拉桥抗震可靠度分析
摘要
本文将静力可靠度分析的一次可靠度计算方法(FORM)推广到斜拉桥结构抗震可靠度分析,研究了某独塔斜拉桥的首次超越概率问题。根据FORM分析步骤首先将地震激励离散成一系列随机变量,然后在这些离散时间点由FORM分析求出设计验算点的激励,得到了不同离散时间点上的交叉速率,通过将不同时刻的交差速率积分获得首次超越概率的上界。计算结果表明,基于FORM的斜拉桥抗震可靠度方法计算首次超越问题是可行且有效的,在强震作用下该独塔斜拉桥结构具有较高的安全度。
引文
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[7]刘怀林,赵岩.多点地震激励下大跨度桥梁动力可靠度研究[J].华中科技大学学报,2008,25(3):113-116.
[8]Franchin P.Reliability of uncertain inelastic struc-tures under earthquake excitation[J].Journal of Engi-neering Mechanics,2004,130(2):180-191.
[9]Hagen O,Tvedt L.Vector process out-crossing asparallel system sensitivity measure[J].Journal of En-gineering Mechanics,1991,117(10):2201-2220.
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[11]Der Kiureghian A.The geometry of random vibra-tions and solutions by Form and Sorm[J].Journal ofEngineering Mechanics,2000,15(1):81-90.
[12]Li C C,Der Kiureghian A.Mean out-crossing rate ofnonlinear response to stochastic input[C]∥Proceed-ings of ICASP7,7th International Conference On Ap-plications of Statistics and Probability in Civil Engi-neering and Risk Analysis,Paris,France:[s.n.],1995.295-302.
[13]Koo H,Der Kiureghian A,Fujimura K.Design-pointexcitation for non-linear random vibrations[J].Prob-abilistic Engineering Mechanics,2005,20(2):136-147.
[2]柳春光,杜勇刚,刘鑫.基于反应谱法的多点激励下桥梁结构抗震可靠性分析[J].防灾减灾工程学报,2007,27(3):270-274.
[3]Cheng J,Beck J L,Au S K.Hybrid subset simulationmethod for reliability estimation of dynamical systemssubject to stochastic excitation[J].Probabilistic En-gineering Mechanics,2005,20(3):199-214.
[4]陆立新,吴斌,欧进萍.结构动力可靠度的重要抽样法的探讨[J].世界地震工程,2007,23(3):270-274.
[5]Au S K.First passage probability of elasto-plasticsystems by importance sampling with adapted process[J].Probabilistic Engineering Mechanics,2008,23(2-3):114-124.
[6]武芳文.大跨度斜拉桥随机地震响应分析及其动力可靠度研究[D].成都:西南交通大学,2007.
[7]刘怀林,赵岩.多点地震激励下大跨度桥梁动力可靠度研究[J].华中科技大学学报,2008,25(3):113-116.
[8]Franchin P.Reliability of uncertain inelastic struc-tures under earthquake excitation[J].Journal of Engi-neering Mechanics,2004,130(2):180-191.
[9]Hagen O,Tvedt L.Vector process out-crossing asparallel system sensitivity measure[J].Journal of En-gineering Mechanics,1991,117(10):2201-2220.
[10]Zhang Y,Der Kiureghian A.First-excursion proba-bility of uncertain structures[J].Probabilistic Engi-neering Mechanics,1994,9(1-2):135-143.
[11]Der Kiureghian A.The geometry of random vibra-tions and solutions by Form and Sorm[J].Journal ofEngineering Mechanics,2000,15(1):81-90.
[12]Li C C,Der Kiureghian A.Mean out-crossing rate ofnonlinear response to stochastic input[C]∥Proceed-ings of ICASP7,7th International Conference On Ap-plications of Statistics and Probability in Civil Engi-neering and Risk Analysis,Paris,France:[s.n.],1995.295-302.
[13]Koo H,Der Kiureghian A,Fujimura K.Design-pointexcitation for non-linear random vibrations[J].Prob-abilistic Engineering Mechanics,2005,20(2):136-147.
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