考虑非高斯性的悬索桥抖振动力可靠性
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摘要
由于结构的非线性以及脉动风荷载的非高斯分布,强风作用下大跨悬索桥的抖振响应并不服从高斯随机过程假设。在桥梁抖振响应精细化时域分析的基础上,充分考虑风荷载及结构自身非线性因素的影响,得到结构的响应时程,并采用Hermite矩模型,通过其前4阶中心矩,将分布未知的响应过程转化为标准高斯随机过程,进一步结合泊松过程法给出了结构在强风作用下的抖振动力可靠性数值分析方法。最后以东海某大跨径悬索桥为工程背景,详细探讨了其加劲梁构件基于强度的抖振动力可靠度,结果表明加劲梁中支点截面为风振的最不利位置,其动力可靠度随风速的增大而降低,同时在高风速作用下,结构的非线性效应明显,仍采用传统的高斯过程假设会带来偏不安全的结果。
The long-span suspension bridge's buffeting responses are not Gaussian random processes because of the structural nonlinearity and non-Gaussian distribution of fluctuating wind load.Based on the accurate bridge buffeting response analysis of time history,considering the nonlinearity factors of structure and wind load,the structure's non-Gaussian response processes are derived.The Hermite moment model is introduced to transfer the unknown distribution responses into the standard Gaussian random process based on their first four moments,and the numerical analysis method of structure's dynamic reliability under strong wind action is then put forward combining with the Poisson process method.A long-span suspension bridge at the East Sea of China is analyzed,the buffeting dynamic reliability of stiffening girder is discussed in detail.The results indicate that(1) the middle support section of the stiffening girder is the critical section under fluctuating wind action,its dynamic reliability decreases with the wind speed increases;(2) the structure's nonlinear effect is obvious under strong wind action,the traditional method of Gaussian process assumption will bring insecure results.
The long-span suspension bridge's buffeting responses are not Gaussian random processes because of the structural nonlinearity and non-Gaussian distribution of fluctuating wind load.Based on the accurate bridge buffeting response analysis of time history,considering the nonlinearity factors of structure and wind load,the structure's non-Gaussian response processes are derived.The Hermite moment model is introduced to transfer the unknown distribution responses into the standard Gaussian random process based on their first four moments,and the numerical analysis method of structure's dynamic reliability under strong wind action is then put forward combining with the Poisson process method.A long-span suspension bridge at the East Sea of China is analyzed,the buffeting dynamic reliability of stiffening girder is discussed in detail.The results indicate that(1) the middle support section of the stiffening girder is the critical section under fluctuating wind action,its dynamic reliability decreases with the wind speed increases;(2) the structure's nonlinear effect is obvious under strong wind action,the traditional method of Gaussian process assumption will bring insecure results.
引文
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[11]叶江水,王仲刚,陈友良,等.基于前四阶矩的非高斯响应概率密度函数逼近方法研究[J].后勤工程学院学报,2010,26(1):12-16.YE Jiangshui,WANG Zhonggang,CHEN Youliang,et al.Research on Approximate Methods of Non-GaussianProbability Density Function Based on the First FourMoments of the Response[J].Journal of LogisticalEngineering University,2010,26(1):12-16.
[12]WINTERSTEIN S R,KASHEF T.Moment Based Loadand Response Models with Wind Engineering Applications[J].Journal of Solar Energy Engineering,2000,122(3):122-128.
[13]GRIGORIU M.Applied non-Gaussian Processes[M].Englewood Cliffs,NJ:Prentice Hall,Inc,1995.
[2]胡俊,欧进萍.大跨度悬索桥抖振时变动力可靠性分析[J].武汉理工大学学报,2012,32(9):26-30.HU Jun,OU Jinping.Time Dependent DynamicReliability of Buffeting Responses of Long Span SuspensionBridge[J].Journal of Wuhan University of Technology,2012,32(9):26-30.
[3]HU Jun,GUO Jian,OU Jinping.Measurement of WindField Characteristics at a Long-span Suspension Bridge[J].Journal of Southeast University:English Edition,2011,27(3):328-334.
[4]苏成,徐瑞.非平稳地震作用下随机结构动力可靠度计算[J].振动工程学报,2011,24(2):118-124.SU Cheng,XU Rui.Dynamic Reliability Analysis ofStochastic Structures Subjected to Non-stationary SeismicExcitations[J].Journal of Vibration Engineering,2011,24(2):118-124.
[5]杨咏漪.独塔斜拉桥抖振时变可靠度研究[D].成都:西南交通大学,2003.YANG Yongyi.Study on Buffeting Time DependentReliability of Single Pylon Cable-stayed Bridge[D].Chengdu:Southwest Jiaotong University,2003.
[6]卢伟,强士中,李晓渝.斜拉桥抖振动力可靠性分析[J].振动与冲击,2001,20(2):82-85.LU Wei,QIANG Shizhong,LI Xiaoyu.DynamicReliability Analysis for Buffeting of Cable-stayed Bridge[J].Journal of Vibration and Shock,2001,20(2):82-85.
[7]GE Yaojun,TANAKA H,XIANG Haifan.ProbabilisticAssessment of Buffeting Responses in Long-span Bridges[C]∥Proceedings of the International Conference onAdvances in Structural Dynamics.Hong Kong:[s.n.]2000:13-15.
[8]刘高,林家浩,王秀伟.基于首超破坏机制的大跨度斜拉桥抖振动力可靠性分析[J].应用力学学报,2004,21(3):53-57.LIU Gao,LIN Jiahao,WANG Xiuwei.DynamicReliability of Buffeting Responses in Long-span Cable-stayed Bridges by the First Excursion Mechanism[J].Chinese Journal of Applied Mechanics,2004,21(3):53-57.
[9]赵林,葛耀君,项海帆.响应谱MC模拟的桥梁抖振首次超越研究[J].工程力学,2006,23(1):123-129.ZHAO Lin,GE Yaojun,XIANG Haifan.Monte CarloSimulation Approach to First Passage Probability in BridgeBuffeting Response[J].Engineering Mechanics,2006,23(1):123-129.
[10]曹映泓,项海帆,周颖.大跨度桥梁颤振和抖振统一时程分析[J].土木工程学报.2000,33(5):57-62.CAO Yinghong,XIANG Haifan,ZHOU Ying.CombinedFlutter and Buffeting Analysis in Time Domain for Long-span Bridges[J].China Civil Engineering Journal,2000,33(5):57-62.
[11]叶江水,王仲刚,陈友良,等.基于前四阶矩的非高斯响应概率密度函数逼近方法研究[J].后勤工程学院学报,2010,26(1):12-16.YE Jiangshui,WANG Zhonggang,CHEN Youliang,et al.Research on Approximate Methods of Non-GaussianProbability Density Function Based on the First FourMoments of the Response[J].Journal of LogisticalEngineering University,2010,26(1):12-16.
[12]WINTERSTEIN S R,KASHEF T.Moment Based Loadand Response Models with Wind Engineering Applications[J].Journal of Solar Energy Engineering,2000,122(3):122-128.
[13]GRIGORIU M.Applied non-Gaussian Processes[M].Englewood Cliffs,NJ:Prentice Hall,Inc,1995.
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