|
Global Geology 2019 22 (3): 152-158 ISSN: 1673-9736 CN: 22-1371/P |
|
|
|
|
|
Slope reliability analysis based on Monte Carlo simulation and sparse grid method |
WU Guoxue1, PENG Yijin1, LIU Xuesong1, HU Tao2, WU Hao2 |
1. College of Earth Sciences, Jilin University, Changchun 130026, China;
2. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
收稿日期 2019-03-12 修回日期 2019-04-15 网络版发布日期 null |
参考文献 Barthelmann V, Novak E, Ritter K, et al. 2000. High dimension polynomial interpolation on sparse grids.Advances in Computational Mathematics,12(4):273-288.
Dubourg V, Sudret B, Bourinet J M,et al. 2011. Reliability based design optimization using kriging surrogates and subset simulation.Structural and Multidisciplinary Optimization,44(5):673-690.
Gerstner T, Griebel M. 1998. Numerical integration using sparse grids.Numerical Algorithms,18:209-232.
Gerstner T, Griebel M. 2003. Dimension-adaptive tensor-product quadrature.Computing,71(1):65-87.
Hu C, Youn B D. An asymmetric dimension-adaptive tensor-product method for reliability analysis.Structural Safety,33(3):218-231.
Jia B, Xin M, Cheng Y,et al. 2012. Sparse-grid quadrature nonlinear filtering.Automatica,48(2):327-341.
Klimke A, Willner K, Wohlmuth B,et al. 2004. Uncertainty modeling using fuzzy arithmetic based on sparse grids. International Journal of Uncertainty, Fuzziness and Knowdge-Based Systems,12(6):745-759.
Klimke A, Wohlmuth B. 2005. Piecewise multilinear hierarchical sparse grid interpolation in MATLAB.ACM Transactions on Mathematical Software,31(4):561-579.
Li D Q, Chen Y F, Lu W B,et al. 2011. Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables.Computers and Geotechnics,38(1):58-68.
Low B K. 2007. Reliability analysis of rock slopes involving correlated nonnormals.International Journal of Rock Mechanics and Mining Sciences,44(6):922-935.
Low B K. 2012. Roles of FORM, system-FORM, SORM, and RSM in geotechnical reliability analysis//Proceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications. Singapore:Research Publishing.
Ma X, Zabaras N. 2009. An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations,Journal of Computational Physics,228(8):3084-3113.
Sekhavatian A, Choobbasti A J. 2018. Reliability analysis of deep excavations by RS and MCS methods:case study. Innovative Infrastructure Solutions,3(1):https://doi.org/10.1007/s41062-018-0166-z
Vanem E. 2018.3-dimensional environmental contours based on a direct sampling method for structural reliability analysis of ships and offshore structures.Ships and Offshore Structures, 14:74-85.
Xiong F F, Greene S, Chen W,et al. 2010. A new sparse grid based method for uncertainty propagation.Structural and Multidisciplinary Optimization,41(3):335-349.
Yang X L, Zhou T, Li W T,et al. 2018. Reliability analysis of tunnel roof in layered Hoek-Brown rock masses.Computers and Geotechnics,104:302-309.
Zabaras N. 2007. Spare grid collocation schemes for stochastic natural convection problems.Journal of Computational Physics,225(1):652-685.
Zhang M. 2009. Structural reliability analysis-methods and procedures. Beijing:Science Press, 1-253. (in Chinese) |
|
|
|
通讯作者: WU Hao |
|