考虑材料参数空间变异的重力坝地震损伤分析
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摘要
由于施工质量不均匀和混凝土自身的非均质性,因此重力坝坝体混凝土材料强度具有空间变异性。利用对数正态分布随机场模拟混凝土参数的空间变异性,采用中心点法将参数随机场离散为一组相关随机变量,通过结构空间位置和相关距离构建了自相关函数、得到相关系数矩阵。采用Cholesky方法分解相关系数矩阵并线性变换,通过n维独立标准正态分布样本矩阵生成n维相关对数正态分布样本矩阵,实现了混凝土材料参数空间变异性的抽样模拟。对印度Koyna重力坝的地震损伤分析表明,考虑混凝土参数(特别是抗拉强度)的空间变异性后,坝体损伤程度加重,坝顶位移振幅减小,坝顶垂直残余位移增大,因此在重力坝抗震设计中应考虑材料参数空间变异性的影响。
Since the uneven construction quality and the inherent heterogeneity of concrete,the material properties of the gravity dam have spatial variability. The lognormal distribution random field was used to simulate the spatial variability of concrete material. The concrete material parameter random field was dispersed into a set of correlated random variables by means of the Center Point Method and the autocorrelation function and the correlation coefficient matrix was constructed through structural spatial location and correlation distance. The correlation coefficient matrix was decomposed and linear transformed,the n-dimensional correlation lognormal distribution sample matrix was generated by n-dimensional independent standard normal distribution sample matrix to simulate the spatial variability of concrete material parameters.The seismic damage analysis of Koyna gravity dam in India shows that considering the spatial variability of concrete parameters( especially tensile strength),the damage degree of the dam is aggravated,the displacement amplitude of dam crest is reduced and the vertical residual displacement of dam crest is increased. Thus,the influence of material parameters spatial variability needs to be considered in the seismic design of gravity dams.
Since the uneven construction quality and the inherent heterogeneity of concrete,the material properties of the gravity dam have spatial variability. The lognormal distribution random field was used to simulate the spatial variability of concrete material. The concrete material parameter random field was dispersed into a set of correlated random variables by means of the Center Point Method and the autocorrelation function and the correlation coefficient matrix was constructed through structural spatial location and correlation distance. The correlation coefficient matrix was decomposed and linear transformed,the n-dimensional correlation lognormal distribution sample matrix was generated by n-dimensional independent standard normal distribution sample matrix to simulate the spatial variability of concrete material parameters.The seismic damage analysis of Koyna gravity dam in India shows that considering the spatial variability of concrete parameters( especially tensile strength),the damage degree of the dam is aggravated,the displacement amplitude of dam crest is reduced and the vertical residual displacement of dam crest is increased. Thus,the influence of material parameters spatial variability needs to be considered in the seismic design of gravity dams.
引文
[1]LUBLINER J,OLIVER J,OLLER S,et al.A Plastic-Damage Model for Concrete[J].International Journal of Solids and Structures,1989,25(3):299-329.
[2]LEE J,FENVES G L.Plastic-Damage Model for Cyclic Loading of Concrete Structures[J].Journal of Engineering Mechanics,1998,124(8):892-900.
[3]杜成斌,苏擎柱.混凝土坝地震动力损伤分析[J].工程力学,2003,20(5):170-174.
[4]邵长江,钱永久.Koyna混凝土重力坝的塑性地震损伤响应分析[J].振动与冲击,2006,24(4):179-182.
[5]LONG Yuchuan,ZHANG Chuhan.Nonlinear Seismic Analyses of a High Gravity Dam with and Without the Presence of Reinforcement[J].Engineering Structures,2009,31(10):2486-2494.
[6]范书立,陈明阳,陈健云,等.基于能量耗散碾压混凝土重力坝地震损伤分析[J].振动与冲击,2011,30(4):272-275.
[7]LUPOIA A,CALLARI C.A Probabilistic Method for the Seismic Assessment of Existing Concrete Gravity Dams[J].Structure and Infrastructure Engineering,2012,8(10):985-998.
[8]VAN der Have R.Random Fields for Non-Linear Finite Element Analysis of Reinforced Concrete[D].Netherlands:Delft University of Technology,2015:1-3.
[9]GRIFFITHS D V,FENTON G A.Probabilistic Slope Stability Analysis by Finite Elements[J].Journal of Geotechnical and Geoenvironmental Engineering,2004,130(5):507-518.
[10]CHO S E.Probabilistic Assessment of Slope Stability That Considers the Spatial Variability of Soil Properties[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(7):975-985.
[11]李典庆,祁小辉,周创兵,等.考虑参数空间变异性的无限长边坡可靠度分析[J].岩土工程学报,2013,35(10):1799-1806.
[12]YIU Yong,SHIELDS M D.A Direct Simulation Method and Lower-Bound Estimation for a Class of Gamma Random Fields with Applications in Modelling Material Properties[J].Probabilistic Engineering Mechanics,2017,47:16-25.
[13]文德智,卓仁鸿,丁大杰,等.蒙特卡罗模拟中相关变量随机数序列的产生方法[J].物理学报,2012,61(22):1-8.
[14]胡小荣,唐春安.岩土力学参数随机场的离散研究[J].岩土工程学报,1999,21(4):450-455.
[15]郭胜山,陈厚群,李德玉,等.重力坝与坝基体系地震损伤破坏分析[J].水利学报,2013,44(11):1352-1358.
[16]安东亚,汪大绥,周德源,等.高层建筑结构刚度退化与地震作用响应关系的理论分析[J].建筑结构学报,2014,35(4):155-161.
[17]谢靖中.结构地震反应分析中的阻尼问题探讨[J].建筑结构,2015,45(23):53-58.
[2]LEE J,FENVES G L.Plastic-Damage Model for Cyclic Loading of Concrete Structures[J].Journal of Engineering Mechanics,1998,124(8):892-900.
[3]杜成斌,苏擎柱.混凝土坝地震动力损伤分析[J].工程力学,2003,20(5):170-174.
[4]邵长江,钱永久.Koyna混凝土重力坝的塑性地震损伤响应分析[J].振动与冲击,2006,24(4):179-182.
[5]LONG Yuchuan,ZHANG Chuhan.Nonlinear Seismic Analyses of a High Gravity Dam with and Without the Presence of Reinforcement[J].Engineering Structures,2009,31(10):2486-2494.
[6]范书立,陈明阳,陈健云,等.基于能量耗散碾压混凝土重力坝地震损伤分析[J].振动与冲击,2011,30(4):272-275.
[7]LUPOIA A,CALLARI C.A Probabilistic Method for the Seismic Assessment of Existing Concrete Gravity Dams[J].Structure and Infrastructure Engineering,2012,8(10):985-998.
[8]VAN der Have R.Random Fields for Non-Linear Finite Element Analysis of Reinforced Concrete[D].Netherlands:Delft University of Technology,2015:1-3.
[9]GRIFFITHS D V,FENTON G A.Probabilistic Slope Stability Analysis by Finite Elements[J].Journal of Geotechnical and Geoenvironmental Engineering,2004,130(5):507-518.
[10]CHO S E.Probabilistic Assessment of Slope Stability That Considers the Spatial Variability of Soil Properties[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(7):975-985.
[11]李典庆,祁小辉,周创兵,等.考虑参数空间变异性的无限长边坡可靠度分析[J].岩土工程学报,2013,35(10):1799-1806.
[12]YIU Yong,SHIELDS M D.A Direct Simulation Method and Lower-Bound Estimation for a Class of Gamma Random Fields with Applications in Modelling Material Properties[J].Probabilistic Engineering Mechanics,2017,47:16-25.
[13]文德智,卓仁鸿,丁大杰,等.蒙特卡罗模拟中相关变量随机数序列的产生方法[J].物理学报,2012,61(22):1-8.
[14]胡小荣,唐春安.岩土力学参数随机场的离散研究[J].岩土工程学报,1999,21(4):450-455.
[15]郭胜山,陈厚群,李德玉,等.重力坝与坝基体系地震损伤破坏分析[J].水利学报,2013,44(11):1352-1358.
[16]安东亚,汪大绥,周德源,等.高层建筑结构刚度退化与地震作用响应关系的理论分析[J].建筑结构学报,2014,35(4):155-161.
[17]谢靖中.结构地震反应分析中的阻尼问题探讨[J].建筑结构,2015,45(23):53-58.