基于概率密度演化的渡槽结构抗震分析
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
应用随机过程的正交展开方法,将地震动加速度过程展开为标准正交基函数与标准正交随机变量的线性组合形式。在此基础上采用随机函数的思想,将正交展开式中的标准正交随机变量表达为基本随机变量的函数形式,从而实现用一个基本随机变量来表达原地震动过程的目的。结合地震动过程的正交展开-随机函数模型与概率密度演化方法,对某大型渡槽结构进行随机地震反应分析与抗震可靠度计算;重点研究空槽和三槽有水等四种工况下渡槽结构控制点位移以及控制截面内力的随机地震反应与可靠度,进而获得渡槽结构控制点和控制截面的地震反应概率信息。
Using the orthogonal expansion method of random processes,the non-stationary seismic acceleration process is represented as a linear combination of the standard orthogonal basis functions and the standard orthogonal random variables.Then,using the random function,these standard orthogonal random variables in the orthogonal expansion are expressed as an orthogonal function form of the basic random variable.Therefore,this method can use a basic random variable to express the original earthquake ground processes.The orthogonal expansion-random function approach was used to generate 126 representative earthquake samples,and each representative sample was assigned a given probability.The 126 representative earthquake samples were combined with the probability density evolution method of stochastic dynamical systems and random seismic responses of large-scale aqueduct structures was investigated.In this study,four cases were considered;aqueduct without water,aqueduct with water in the central trough,aqueduct with water in a two-side trough,and aqueduct with water in three troughs,and probability information of seismic responses for these cases were obtained.Moreover,using the proposed method,the seismic reliability of the aqueduct structures was efficiently calculated.This method provides a new and effective means for precise seismic analysis of large-scale aqueduct structures.
引文
[1]竺慧珠,陈德亮,管枫年.渡槽[M].北京:中国水利水电出版社,2005.ZHU Hui-zhu,CHEN De-liang,GUAN Feng-nian.Aqueducts[M].Beijing:China Water&Power Press,2005.(in Chinese)
    [2]吴红华,李正农,袁文阳,等.渡槽结构地震反应的时程分析[J].中国农村水利水电,2002(5):43-45.WU Hong-hua,LI Zheng-nong,YUAN Wen-yang,et al.Analysis of Time-process of Earthquake Reaction of Aqueduct Structure[J].China Rural Water and Hydropower,2002(5):43-45.(in Chinese)
    [3]杜晓伟,陈淮,孙国钧,等.大型双槽渡槽地震反应分析[J].世界地震工程,2003,19(2):23-26.DU Xiao-wei,CHEN Huai,SUN Guo-jun,et al.Seismic Response Analysis of Large-scale Aqueduct with Double Troughs[J].World Earthquake Engineering,2003,19(2):23-26.(in Chinese)
    [4]李林.罕遇地震下空心薄壁高墩大跨T形刚构桥弹塑性地震反应分析[J].地震工程学报,2013,35(2):56-61.LI Lin.Elastic-plastic Seismic Response Analysis of Hollow Thinwalled High-pier Large-span T-shaped Rigid Frame Bridge Under High-level Earthquake Conditions[J].China Earthquake Engineering Journal,2013,35(2):56-61.(in Chinese)
    [5]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.LIN Jia-hao,ZHANG Ya-hui.Pseudo-excitation Method forRandom Vibration[M].Beijing:Science Press,2004.(in Chinese)
    [6]王志华,陈国兴,胡庆兴.特大型桥梁桩基完全非平稳随机地震反应分析[J].工程力学,2010,27(2):172-177.WANG Zhi-hua,CHEN Guo-xing,HU Qing-xing.Fully Nonstationary Stochastic Seismic Analysis of Supergiant Bridge Pile Foundation[J].Engineering Mechanics,2010,27(2):172-177.(in Chinese)
    [7]LI Jie,CHEN Jianbing.Stochastic Dynamics of Structures[M].Singapore:John Wiley&Sons Pte Ltd,2009.
    [8]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 Research on Probability Density Evolution Equations of Stochastic Dynamical Systems[J].Advances in Mechanics,2010,40(2):170-188.(in Chinese)
    [9]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 Method of Stochastic Processes Based on Normalized Orthogonal Bases[J].Journal of Tongji University:Natural Science,2006,34(10):1279-1283.(in Chinese)
    [10]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 of Stochastic Processes for Earthquake Ground Motion[J].Journal of Tongji University:Natural Science,2008,36(9):1153-1159.(in Chinese)
    [11]刘章军,万勇,镇斌.平稳地震动过程的正交展开-随机函数模型[J].应用基础与工程科学学报,2014,22(2):199-208.LIU Zhang-jun,WAN Yong,ZHEN Bin.Simulation of Stationary Ground Motion Processes:Hybrid Orthogonal Expansion and Random Function Approach[J].Journal of Basic Science and Engineering,2014,22(2):199-208.(in Chinese)
    [12]刘章军,曾波,周宜红,等.地震动过程的概率模型及在重力坝抗震可靠度分析中的应用[J].水利学报,2014,45(9).LIU Zhang-jun,ZENG Bo,ZHOU Yi-hong,et al.Probabilistic Model of Ground Motion Processes and Seismic Dynamic Reliability Analysis of the Gravity Dam[J].Joural of Hydraulic Engineering,2014,45(9).(in Chinese)
    [13]Ray W,Clough,Joseph Penzien.Dynamics of Structures Second Edition(Revised)[M].[S.l.],Computers and Structures,Inc.,2003.
    [14]刘章军,陈建兵.结构动力学[M].北京:中国水利水电出版社,2012.LIU Zhang-jun,CHEN Jian-bing.Dynamics of Structures[M].Beijing:China Water&Power Press,2012.(in Chinese)
    [15]彭利华.大型渡槽结构抗震及隔震研究[D].保定:河北农业大学,2002.PENG Li-hua.Study on Seismic-resistance and Isolation of Large-scale Aqueduct[D].Baoding:Agricultural University of Heibei,2002.(in Chinese)
    [16]张伯艳,邓迎,李德玉.渡槽抗震计算中几个关键问题的简化处理方法[J].南水北调与水利科技,2005,3(2):46-48.ZHANG Bo-yan,DENG Ying,LI De-yu.Simplification Treatment of Some Key Problems in Aqueduct Aseismatic Calculation[J].South-to-North Water Transfers and Water Science&Technology,2005,3(2):46-48.(in Chinese)
    [17]LI Jie,CHEN Jian-bing,FAN Wen-liang.The Equivalent Extreme-value Event and Evaluation of the Structural System Reliability[J].Structural Safety,2007,29(2):112-131.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心