大型渡槽结构随机地震反应与抗震可靠度分析
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摘要
应用概率密度演化理论,分别研究了大型渡槽结构槽内水位变化以及水体与渡槽相互作用情况下的随机地震反应与抗震可靠度问题。分析结果表明,渡槽结构随机地震反应的概率分布呈现非规则分布,大型渡槽结构的随机地震反应与失效概率随着槽体内水位上升而显著增大。当槽体内水位一定时,考虑水体晃动对渡槽结构的影响,其地震反应却明显偏小,且抗震可靠度大幅提高。
The method of probability density evolution was employed to research the stochastic earthquake response and seismic reliability assessment for large-scale aqueduct structure under the condition of water level fluctuation and water-aqueduct interaction.Results show that the probability distribution of stochastic seismic responses of the aqueduct structure is irregular.The stochastic earthquake response and the failure probability of large-scale aqueduct structure increase obviously with the rising of water level.However,with the water level unchanged,the seismic response is apparently smaller while the seismic reliability much higher considering the water sloshing effect on the aqueduct structure.
The method of probability density evolution was employed to research the stochastic earthquake response and seismic reliability assessment for large-scale aqueduct structure under the condition of water level fluctuation and water-aqueduct interaction.Results show that the probability distribution of stochastic seismic responses of the aqueduct structure is irregular.The stochastic earthquake response and the failure probability of large-scale aqueduct structure increase obviously with the rising of water level.However,with the water level unchanged,the seismic response is apparently smaller while the seismic reliability much higher considering the water sloshing effect on the aqueduct structure.
引文
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[3]季日臣,夏修身,陈尧隆.水体晃荡作用对渡槽横向抗震影响的研究[J].水力发电学报,2007,26(6):30-34.(JI Ri-chen,XIA Xiu-shen,CHEN Yao-long.Research on Influence of Water Shake Acting on Aque-duct Transverse Seismic Response[J].Journal of Hydro-electric Engineering,2007,26(6):30-34.(in Chi-nese))
[4]LI Jie,CHEN Jian-bing.Stochastic Dynamics of Struc-tures[M].Singapore:John Wiley&Sons(Asia)PteLtd,2009.
[5]李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):170-188.(LI Jie,CHEN Jian-bing.Advances in the Re-search on Probability Density Evolution Equations of Sto-chastic Dynamical Systems[J].Advances in Mechanics,2010,40(2):170-188.(in Chinese))
[6]李杰,刘章军.基于标准正交基的随机过程展开法[J].同济大学学报(自然科学版),2006,34(10):1279-1283.(LI Jie,LIU Zhang-jun.Expansion Methodof Stochastic Processes Based on Normalized OrthogonalBases[J].Journal of Tongji University(Natural Sci-ence),2006,34(10):1279-1283.(in Chinese))
[7]刘章军,李杰.地震动随机过程的正交展开[J].同济大学学报(自然科学版),2008,36(9):1153-1159.(LIU Zhang-jun,LI Jie.Orthogonal Expansion ofStochastic Processes for Earthquake Ground Motion[J].Journal of Tongji University(Natural Science),2008,36(9):1153-1159.(in Chinese))
[8]刘章军,李杰.基于正交展开的非平稳地震动随机过程[J].武汉理工大学学报,2010,32(9):101-105.(LIU Zhang-jun,LI Jie.Non-stationary EarthquakeGround Motion Based on Orthogonal Expansion Method[J].Journal of Wuhan University of Technology,2010,32(9):101-105.(in Chinese))
[9]LI Jie,CHEN Jian-bing,FAN Wen-liang.The Equiva-lent Extreme-value Event and Evaluation of the StructuralSystem Reliability[J].Structural Safety,2007,29(2):112-131.
[10]王博.大型渡槽动力建模研究[J].计算力学学报,2000,17(4):468-474.(WANG Bo.Dynamic Model-ing Study of Large-scale Aqueducts[J].Chinese Journalof Computational Mechanics,2000,17(4):468-474.(in Chinese))
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