曾杰,靳晓光,张永兴,等.公路隧道初期支护可靠度分析[J].重庆建筑大学学报,2008,30(4):78-81.Zeng Jie,Jin Xiaoguang,Zhang Yongxing,et al.Reliability analysis of initial support in a highway tunnel based on the Monte Carlo method[J].Journal of Chongqing Jianzhu University,2008,30(4):78-81.
[2]
Li H Z,Low B K.Reliability analysis of circular tunnel under hydrostatic stress field[J].Computers and Geotechnics,2010,37(1):50-58.
[3]
Li D Q,Jiang S H,Chen Y F,et al.Reliability analysis of serviceability performance for an underground cavern using a non-intrusive stochastic method[J].Environmental Earth Sciences,2014,71(3):1169-1182.
[4]
陈建康,朱殿芳,赵文谦,等.基于响应面法的地下洞室结构可靠度分析[J].岩石力学与工程学报,2005,24(2):351-356.Chen Jiankang,Zhu Dianfang,Zhao Wenqian,et al.Structure reliability analysis of underground cavern based on response surface method[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(2):351-356.
[5]
赵洪波.支持向量机在隧道围岩变形预测中的应用[J].岩石力学与工程学报,2005,24(4):649-652.Zhao Hongbo.Predicting the surrounding deformations of tunnel using support vector machine[J.]Chinese Journal of Rock Mechanics and Engineering,2005,24(4):649-652.
[6]
赵旭峰,严松宏.响应面法在隧道衬砌结构可靠度分析中的应用[J].岩石力学与工程学报,2003,22(S2):2853-2856.Zhao Xufeng,Yan Songhong.Reliability analysis of tunnel lining structure by response surface method[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(S2):2853-2856.
[7]
Rosenblatt M.Remarks on a multivariate transformation[J].Annals of Mathematical Statistics,1952,23(3):470-472.
[8]
Low B K,Tang W H.Efficient reliability evaluation using spreadsheet[J].Journal of Engineering Mechanics-Asce,1997,123(7):749-752.
[9]
Low B K,Tang W H.Efficient spreadsheet algorithm for first-order reliability method[J].Journal of Engineering Mechanics-Asce,2007,133(12):1378-1387.
[10]
Low B K,Zhang J,Tang W H.Efficient system reliability analysis illustrated for a retaining wall and a soil slope[J].Computers and Geotechnics,2011,38(2):196-204.
[11]
Krishnamurthy T.Comparison of response surface construction methods for derivative estimation using moving least squares,kriging and radial basis functions[C]//46 th AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics,and Materials Conference,2005:1-28.
[12]
方开泰.均匀设计与均匀设计表[M].北京:科学出版社,1994.Fang Kaitai.Uniform Design and Uniform Design Table[M].Beijing:Science Press,1994.
[13]
Fama M E D.Numerical modelling of yield zones in weak rocks[J].Comprehensive Rock Engineering,1993,2:49-75.
[14]
Carranza-torres C.Elasto-plastic solution of tunnel problems using the generalized form of the hoek-brown failure criterion[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(3):480-481.
[15]
LüQ,Sun H Y,Low B K.Reliability analysis of ground-support interaction in circular tunnels using the response surface method[J].International Journal of Rock Mechanics and Mining Sciences,2011,48(8):1329-1343.
[16]
LüQ,Chan C L,Low B K.Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design[J].Tunnelling and Underground Space Technology,2012,32(0):1-18.
[17]
Gavin H P,Yau S C.High-order limit state functions in the response surface method for structural reliability analysis[J].Structural Safety,2008,30(2):162-179.
