考虑材料参数空间变异性的堆石坝非侵入式随机有限元研究
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摘要
为提高面板堆石坝(CFRD)沉降值的计算准确度,引入随机有限元方法(SFEM),以考虑E-B本构模型参数的空间变异性,建立基于Cholesky分解的面板堆石坝非侵入式随机有限元方法(NSFEM)。首先,基于Cholesky分解进行堆石料材料参数的随机场模拟;其次,基于现有商业有限元软件MSC. Marc进行子程序的二次开发,通过Ultra Edit在DOS环境下直接调用Marc,对每个单元赋予不同的材料参数,实现"非侵入式"随机有限元计算;随后,结合公伯峡坝体沉降计算,分析了筑坝材料参数的变异系数对沉降的影响规律。计算表明:考虑材料参数空间变异性对堆石坝变形计算结果影响明显,最大沉降值明显大于常规有限元计算值,更接近实测值,更符合工程实际情况。结论:坝体沉降值对材料参数按照敏感性从大到小排序为φ0、K、Kb,对3BII区材料参数的变异性敏感性较3C区更大;采用NSFEM,考虑筑坝材料参数的空间变异性对准确把握CFRD沉降,确保工程安全具有重要意义。
In order to improve the accuracy of concrete faced rockfill dam( CFRD) settlement,the stochastic finite element method( SFEM) was introduced into the face rockfill dam and the applicability of the E-B constitutive model is enhanced by considering the spatial variability of the parameters of the E-B constitutive model,and a noninvasive stochastic finite element method( NSFEM) for the CFRD based on the Cholesky decomposition was established. First,the random field of parameters of rockfill materials was simulated; Second,the secondary development was achieved based on the existing commercial finite element software MSC. Marc. By calling Marc directly in DOS environment through UltraEdit,each unit was assigned different material parameters,thus the "noninvasive"stochastic finite element analysis method was established. Then,combined with the settlement calculation of Gongboxia dam,the in1 uence law of the coefficient of variation of dam material parameters on settlement was analyzed. The calculation results showed that: considering the spatial variability of material parameters,the maximum settlement was obviously larger than the conventional finite element calculation value,which was closer to the actual observed value and more in line with the actual situation of the project. We conclude that the settlement is ranked from large to small: φ0、K、Kb,according to the sensitivity of the material parameters and the sensitivity of the material parameters of the 3 BII area is larger than that of the 3 C area. Using NSFEM and considering the spatial variability of dam material parameters is of great significance for accurately grasping CFRD settlement and ensuring engineering safety.
In order to improve the accuracy of concrete faced rockfill dam( CFRD) settlement,the stochastic finite element method( SFEM) was introduced into the face rockfill dam and the applicability of the E-B constitutive model is enhanced by considering the spatial variability of the parameters of the E-B constitutive model,and a noninvasive stochastic finite element method( NSFEM) for the CFRD based on the Cholesky decomposition was established. First,the random field of parameters of rockfill materials was simulated; Second,the secondary development was achieved based on the existing commercial finite element software MSC. Marc. By calling Marc directly in DOS environment through UltraEdit,each unit was assigned different material parameters,thus the "noninvasive"stochastic finite element analysis method was established. Then,combined with the settlement calculation of Gongboxia dam,the in1 uence law of the coefficient of variation of dam material parameters on settlement was analyzed. The calculation results showed that: considering the spatial variability of material parameters,the maximum settlement was obviously larger than the conventional finite element calculation value,which was closer to the actual observed value and more in line with the actual situation of the project. We conclude that the settlement is ranked from large to small: φ0、K、Kb,according to the sensitivity of the material parameters and the sensitivity of the material parameters of the 3 BII area is larger than that of the 3 C area. Using NSFEM and considering the spatial variability of dam material parameters is of great significance for accurately grasping CFRD settlement and ensuring engineering safety.
引文
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[15]ZHENG Dongjian,CHENG Lin,BAO Tengfei,et al. Integrated parameter inversion analysis method of a CFRD based on multi-output support vector machines and the clonal selection algorithm[J]. Computers&Geotechnics,2013,47(1):68-77.
[16]蒋水华,李典庆,周创兵,等.考虑自相关函数影响的边坡可靠度分析[J].岩土工程学报,2014,36(3):508-518.
[17]RONOLD K O. Random field modeling of foundation failure modes[J]. Journal of Geotechnical Engineering,1990,116(4):554-570.
[18]程强,罗书学,高新强.相关函数法计算相关距离的分析探讨[J].岩土力学,2000,21(3):281-283.
[19]吴振君,葛修润,王水林.考虑地质成因的土坡可靠度分析[J].岩石力学与工程学报,2011,30(9):1904-1911.
[2]包承纲.谈岩土工程概率分析法中的若干基本问题[J].岩土工程学报,1989,11(4):94-98.
[3]陈祖煜.土质边坡稳定性分析原理、方法、程序[M].北京:中国水利水电出版社,2003.
[4] VANMARCKE E. H. Probability modeling of soil profile[J]. Journal of Geotechnical Engineering Division,ASCE,1977,103:1227-1245.
[5]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.
[6]SETT K,UNUTMAZ B,et al. Soil uncertainty and its influence on simulated g/g max and damping behavior[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,137(3):218-226.
[7]LOW B K,DUNCAN J M. Testing bias and parametric uncertainty in analyses of a slope failure in San Francisco Bay Mud[C]//Proceedings of Geo-Congress. 2013:3-6.
[8]蒋水华,祁小辉,曹子君,等.基于随机响应面法的边坡系统可靠度分析[J].岩土力学,2015,36(3):809-818.
[9]李典庆,蒋水华,周创兵,等.考虑参数空间变异性的边坡可靠度分析非侵入式随机有限元法[J].岩土工程学报,2013,35(8):1413-1422.
[10]祁小辉,李典庆,周创兵.考虑土体空间变异性的边坡最危险滑动面随机分析方法[J].岩土工程学报,2013,35(4):745-753.
[11]杨鸽,朱晟.考虑堆石料空间变异性的土石坝地震反应随机有限元分析[J].岩土工程学报,2016,38(10):1822-1832.
[12]傅旭东,茜平一,刘祖德.边坡稳定可靠性的随机有限元分析[J].岩土力学. 2001,22(4):413-418.
[13]WU S,OU C,CHING J,et al. Reliability-based design for basal heave stability of deep excavations in spatially varying soils[J]. Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2011,138(5):594-603.
[14]CHO S E,PARK H C. Effect of spatial variability of cross correlated soil properties on bearing capacity of strip footing[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2010,34(1):1-26.
[15]ZHENG Dongjian,CHENG Lin,BAO Tengfei,et al. Integrated parameter inversion analysis method of a CFRD based on multi-output support vector machines and the clonal selection algorithm[J]. Computers&Geotechnics,2013,47(1):68-77.
[16]蒋水华,李典庆,周创兵,等.考虑自相关函数影响的边坡可靠度分析[J].岩土工程学报,2014,36(3):508-518.
[17]RONOLD K O. Random field modeling of foundation failure modes[J]. Journal of Geotechnical Engineering,1990,116(4):554-570.
[18]程强,罗书学,高新强.相关函数法计算相关距离的分析探讨[J].岩土力学,2000,21(3):281-283.
[19]吴振君,葛修润,王水林.考虑地质成因的土坡可靠度分析[J].岩石力学与工程学报,2011,30(9):1904-1911.