随机地震作用下大型渡槽结构可靠性求解方法
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摘要
基于混凝土连续介质损伤力学和概率密度演化理论,结合物理随机地震动建模方法和精细化有限元分析程序,建立了大型渡槽结构随机动力反应分析与可靠度评估框架。以某大型钢筋混凝土渡槽结构为研究对象,采用OpenSEES基于纤维梁单元建立其三维有限元分析模型。以工程地震动物理随机函数模型生成的100条随机地震动样本及相应的赋得概率为基础,开展该渡槽结构的随机地震反应分析,获取渡槽结构的随机动力响应。进而通过概率密度演化方法可获得结构响应的概率密度随时间涨落情况。以渡槽槽墩极限位移角响应为吸收边界条件,可获得不同给定阈值条件下渡槽结构的动力可靠度指标。所建议的分析框架和方法将为渡槽结构的抗震分析与可靠性设计提供重要借鉴。
This paper describes a framework for stochastic dynamic analysis and reliability assessment of large aqueduct structures that combines the continuum damage mechanics of concrete and the probability density evolution theory to model random ground motions using a refined FEM procedure. This new approach adopts a fiber beam element in OpenSEES to simulate the three-dimensional behaviors of the reinforced concrete structure of a prototype aqueduct, and generates one hundred samples of random ground motions with assigned probabilities using a physical random function model. We make a stochastic dynamic analysis obtaining the random dynamic responses of this structure and then adopt a probability density evolution method to examine the effect of random fluctuations in the responses. Dynamic reliability curves at different failure thresholds can be obtained for large aqueduct structures that are given absorbing boundary conditions associated with the ultimate displacement ratios of the piers. Thus, the framework and analysis in this study is a useful tool for seismic analysis and reliability design of large aqueduct structures.
This paper describes a framework for stochastic dynamic analysis and reliability assessment of large aqueduct structures that combines the continuum damage mechanics of concrete and the probability density evolution theory to model random ground motions using a refined FEM procedure. This new approach adopts a fiber beam element in OpenSEES to simulate the three-dimensional behaviors of the reinforced concrete structure of a prototype aqueduct, and generates one hundred samples of random ground motions with assigned probabilities using a physical random function model. We make a stochastic dynamic analysis obtaining the random dynamic responses of this structure and then adopt a probability density evolution method to examine the effect of random fluctuations in the responses. Dynamic reliability curves at different failure thresholds can be obtained for large aqueduct structures that are given absorbing boundary conditions associated with the ultimate displacement ratios of the piers. Thus, the framework and analysis in this study is a useful tool for seismic analysis and reliability design of large aqueduct structures.
引文
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[8]周浩,李杰.基于不同本构模型的混凝土结构地震倒塌对比分析[J].建筑结构学报,2016,37(9):8-18.ZHOU Hao,LI Jie.Comparison study on seismic collapse concrete structures with different constitutive models[J].Journal of Building Structures,2016,37(9):8-18.(in Chinese)
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[12]徐建国,王博,陈淮,等.大型渡槽结构非线性地震响应可靠性分析[J].人民长江,2009,40(21):87-90.XU Jianguo,WANG Bo,CHEN Huai,et al.Reliability analysis of large aqueduct structures nonlinear seismic response[J].Yangtze River,2009,40(21):87-90.(in Chinese)
[13]安旭文,朱暾.罕遇地震下渡槽槽架结构弹塑性侧移的可靠度分析[J].武汉大学学报(工学版),2010,43(5):604-607.AN Xuwen,ZHU Tun.Reliability analysis of elastoplastic displacements of aqueduct structure under infrequent earthquake[J].Engineering Journal of Wuhan University,2010,43(5):604-607.(in Chinese)
[14]刘章军,方兴.大型渡槽结构随机地震反应与抗震可靠度分析[J].长江科学院院报,2012,29(9):77-81.LIU Zhangjun,FANG Xing.Stochastic earthquake response and seismic reliability analysis of large-scale aqueduct Structures[J].Journal of Yangtze River Scientific Research Institute,2012,29(9):77-81.(in Chinese)
[15]Chen J B,Li J.Dynamic response and reliability analysis of non-linear stochastic structures[J].Probabilistic Engineering Mechanics,2005,20:33-44.
[16]Li J,Chen J B.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009.
[17]Wang D,Li J.Physical random function model of ground motions for engineering purposes[J].Science China Technological Sciences,2011,54(1):175-182.
[18]Mahasuverachai M.Inelastic analysis of piping and tubular structures[R].Berkeley:Earthquake Engineering Research Center,University of California,1982.
[19]Kaba S,Mahin S A.Refined modeling of reinforced concrete columns for seismic analysis[R].Berkeley:Earthquake Engineering Research Center,University of California,1984.
[20]苏小凤.考虑水体质量双槽式渡槽结构地震反应研究[D].兰州:兰州交通大学,2014.SU Xiaofeng.Research on seismic response of double fluted aqueduct with water quality[D].Lanzhou:Lanzhou Jiaotong University,2014.(in Chinese)
[21]Wu J Y,Li J,Faria R.An energy release rate-based plastic-damage model for concrete[J].International Journal of Solids and Structures,2006,43(3):583-612.
[22]Li J,Zhou H,Ding Y.Stochastic seismic collapse and reliability assessment of high-rise reinforced concrete structures[J].The Structural Design of Tall and Special Buildings,2018,27:e1417.Doi:10.1002/tal.1417.
[23]Hsu TTC,Mo Y L.Unified theory of concrete structures[M].New York:John Wiley&Sons,Inc.,2010.
[24]Filippou F C,Popov E P,Bertero V V.Effects of bond deterioration on hysteretic behavior of reinforced concrete joints[R].Berkeley:Earthquake Engineering Research Center,University of California,1983.
[25]Ding Y Q,Peng Y B,Li J.A stochastic semi-physical model of seismic ground motions in time domain[J].Journal of Earthquake and Tsunami.Doi:10.1142/S17934311185000692018.
[26]Chen J B,Yang J Y,Li J.A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters[J].Structural Safety,2016,59:20-31.
[27]Li J,Chen J B.The number theoretical method in response analysis of nonlinear stochastic structures[J].Computational Mechanics,2007,39(6):693-708.
[28]孙治国.钢筋混凝土桥墩抗震变形能力研究[D].哈尔滨:中国地震局工程力学研究所,2012.SUN Zhiguo.Research on seismic deformation capability of reinforced concrete bridge pier[D].Harbin:Institute of Engineering Mechanics,CEA,2012.(in Chinese)
[2]季日臣,唐艳,夏修身,等.大型梁式渡槽采用摩擦摆支座的减隔震研究[J].水力发电学报,2013,32(3):213-217.JI Richen,TANG Yang,XIA Xiushen,et al.Study on seismic isolation and resistance of large beam aqueduct with friction pendulum bearings[J].Journal of Hydroelectric Engineering,2013,32(3):213-217.(in Chinese)
[3]高平,魏德敏,徐梦华.大型渡槽槽身的地震扭转效应研究[J].水力发电学报,2013,32(3):218-222.GAO Ping,WEI Demin,XU Menghua.Study on seismic torsion effect of large-scale aqueduct body[J].Journal of Hydroelectric Engineering,2013,32(3):218-222.(in Chinese)
[4]李正农,周振纲,朱旭鹏.槽墩高度对渡槽结构水平地震响应的影响[J].地震工程与工程振动,2013,33(3):245-257.LI Zhengnong,ZHOU Zhengang,ZHU Xupeng.Eeffect of the height of pier on horizontal seismic responses of aqueduct structure[J].Earthquake Engineering and Engineering Vibration,2013,33(3):245-257.(in Chinese)
[5]王博,徐建国,陈淮,等.渡槽薄壁结构弹塑性动力分析模型及实验验证[J].水利学报,2006,33(9):1108-1113.WANG Bo,XU Jianguo,CHEN Huai,et al.Estimation of parameters in Gardner_Russo model for soil water retention curves by means of simple infiltration method[J].Journal of Hydraulic Engineering,2006,33(9):1108-1113.(in Chinese)
[6]聂利英,朱永虎,刘国光,等.排架支撑式渡槽排架损伤下地震响应分析[J].水电能源科学,2012,30(1):100-102.NIE Liying,ZHU Yonghu,LIU Guoguang,et al.Seismic analysis of dynamic response of flume with damaged framed bent[J].Water Resources and Power,2012,30(1):100-102.(in Chinese)
[7]张社荣,冯奕,王高辉.强震作用下大型排架式U型渡槽的损伤破坏分析[J].四川大学学报(工程科学版),2013,45(1):37-43.ZHANG Sherong,FENG Yi,WANG Gaohui.Seismic damage analysis of U-shaped aqueduct with the bent-type structure subjected to strong earthquake[J].Journal of Sichuan University(Engineering Science Edition),2013,45(1):37-43.(in Chinese)
[8]周浩,李杰.基于不同本构模型的混凝土结构地震倒塌对比分析[J].建筑结构学报,2016,37(9):8-18.ZHOU Hao,LI Jie.Comparison study on seismic collapse concrete structures with different constitutive models[J].Journal of Building Structures,2016,37(9):8-18.(in Chinese)
[9]李杰,吴建营,陈建兵.混凝土随机损伤力学[M].北京:科学出版社,2014.LI Jie,WU Jianying,CHEN Jianbing.Stochastic damage mechanics of concrete structures[M].Beijing:Science Press,2014.(in Chinese)
[10]解伟,陈爱玖,李树山,等.涵洞式渡槽可靠度分析[J].灌溉排水学报,2006,25(4):90-92.XIE Wei,CHEN Aijiu,LI Shushan,et al.Reliability analysis of culvert aqueduct[J].Journal of Irrigation and Drainage,2006,25(4):90-92.(in Chinese)
[11]吴剑国,金伟良,张爱晖,等.基于马氏链样本模拟的渡槽结构系统可靠度分析[J].水利学报,2006,37(8):985-990.WU Jianguo,JIN Weiliang,ZHANG Aihui,et al.System reliability analysis of aqueduct structure based on Markov chain sample simulation[J].Journal of Hydraulic Engineering,2006,37(8):985-990.(in Chinese)
[12]徐建国,王博,陈淮,等.大型渡槽结构非线性地震响应可靠性分析[J].人民长江,2009,40(21):87-90.XU Jianguo,WANG Bo,CHEN Huai,et al.Reliability analysis of large aqueduct structures nonlinear seismic response[J].Yangtze River,2009,40(21):87-90.(in Chinese)
[13]安旭文,朱暾.罕遇地震下渡槽槽架结构弹塑性侧移的可靠度分析[J].武汉大学学报(工学版),2010,43(5):604-607.AN Xuwen,ZHU Tun.Reliability analysis of elastoplastic displacements of aqueduct structure under infrequent earthquake[J].Engineering Journal of Wuhan University,2010,43(5):604-607.(in Chinese)
[14]刘章军,方兴.大型渡槽结构随机地震反应与抗震可靠度分析[J].长江科学院院报,2012,29(9):77-81.LIU Zhangjun,FANG Xing.Stochastic earthquake response and seismic reliability analysis of large-scale aqueduct Structures[J].Journal of Yangtze River Scientific Research Institute,2012,29(9):77-81.(in Chinese)
[15]Chen J B,Li J.Dynamic response and reliability analysis of non-linear stochastic structures[J].Probabilistic Engineering Mechanics,2005,20:33-44.
[16]Li J,Chen J B.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009.
[17]Wang D,Li J.Physical random function model of ground motions for engineering purposes[J].Science China Technological Sciences,2011,54(1):175-182.
[18]Mahasuverachai M.Inelastic analysis of piping and tubular structures[R].Berkeley:Earthquake Engineering Research Center,University of California,1982.
[19]Kaba S,Mahin S A.Refined modeling of reinforced concrete columns for seismic analysis[R].Berkeley:Earthquake Engineering Research Center,University of California,1984.
[20]苏小凤.考虑水体质量双槽式渡槽结构地震反应研究[D].兰州:兰州交通大学,2014.SU Xiaofeng.Research on seismic response of double fluted aqueduct with water quality[D].Lanzhou:Lanzhou Jiaotong University,2014.(in Chinese)
[21]Wu J Y,Li J,Faria R.An energy release rate-based plastic-damage model for concrete[J].International Journal of Solids and Structures,2006,43(3):583-612.
[22]Li J,Zhou H,Ding Y.Stochastic seismic collapse and reliability assessment of high-rise reinforced concrete structures[J].The Structural Design of Tall and Special Buildings,2018,27:e1417.Doi:10.1002/tal.1417.
[23]Hsu TTC,Mo Y L.Unified theory of concrete structures[M].New York:John Wiley&Sons,Inc.,2010.
[24]Filippou F C,Popov E P,Bertero V V.Effects of bond deterioration on hysteretic behavior of reinforced concrete joints[R].Berkeley:Earthquake Engineering Research Center,University of California,1983.
[25]Ding Y Q,Peng Y B,Li J.A stochastic semi-physical model of seismic ground motions in time domain[J].Journal of Earthquake and Tsunami.Doi:10.1142/S17934311185000692018.
[26]Chen J B,Yang J Y,Li J.A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters[J].Structural Safety,2016,59:20-31.
[27]Li J,Chen J B.The number theoretical method in response analysis of nonlinear stochastic structures[J].Computational Mechanics,2007,39(6):693-708.
[28]孙治国.钢筋混凝土桥墩抗震变形能力研究[D].哈尔滨:中国地震局工程力学研究所,2012.SUN Zhiguo.Research on seismic deformation capability of reinforced concrete bridge pier[D].Harbin:Institute of Engineering Mechanics,CEA,2012.(in Chinese)