Der Kiureghian A, Liu P. Structural reliability under incomplete probability information [J]. Journal of Engineering Mechanics, 1986, 112(1): 85-104.
[2]
Rackwitz R, Fiessler B. Structural reliability under combined random load sequences [J]. Computers & Structures, 1978, 9(5): 489-494.
[3]
Bichon B J, Eldred M S, Swiler L P, et al. Efficient global reliability analysis for nonlinear implicit performance functions [J]. AIAA Journal, 2008, 46(10): 2459-2468.
[4]
Karadeniz H. Stochastic analysis of offshore steel structures--An analytical appraisal [M]. London: Springer, 2013: 315-364.
[5]
Tung Y K. Risk/Reliability-based hydraulic engineering design [M]. Hydraulic Design Handbook. New-York: Mcgraw-Hill, 1999: 1-56.
[6]
Duprat F, Sellier A, Nguyen X S, et al. The projection gradient algorithm with error control for structural reliability [J]. Engineering Structures, 2010, 32(11): 3725-3733.
[7]
Noh Y, Choi K K, Du L. Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula [J]. Structural and Multidisciplinary Optimization, 2009, 38(1): 1-16.
[8]
Xiang Y, Liu Y. Application of inverse first-order reliability method for probabilistic fatigue life prediction [J]. Probabilistic Engineering Mechanics, 2011, 26(2): 148-156.
[9]
倪俊, 虞跨海, 岳珠峰. 基于可靠性的涡轮叶片双循环多学科设计优化[J]. 航空动力学报, 2009, 24(9): 2051-2056. Ni Jun, Yu Kuahai, Yue Zhufeng. Reliability-based multidisciplinary design optimization for turbine blade using double loop approach [J]. Journal of Aerospace Power, 2009, 24(9): 2051-2056. (in Chinese)
[10]
He Z, Qiu F. Probabilistic assessment on flexural capacity of GFRP-reinforced concrete beams designed by guideline ACI 440.1R-06 [J]. Construction and Building Materials, 2011, 25(4): 1663-1670.
[11]
Abdelal G F, Cooper J E, Robotham A J. Reliability assessment of 3D space frame structures applying stochastic finite element analysis [J]. International Journal of Mechanics and Materials in Design, 2013, 9(1): 1-9.
[12]
Low B K, Tang W H. Reliability analysis using object-oriented constrained optimization [J]. Structural Safety, 2004, 26(1): 69-89.
[13]
Deng J. Structural reliability analysis for implicit performance function using radial basis function network [J]. International Journal of Solids and Structures, 2006, 43(11/12): 3255-3291.
[14]
Chen N, Guedes Soares C. Reliability assessment of post-buckling compressive strength of laminated composite plates and stiffened panels under axial compression [J]. International Journal of Solids and Structures, 2007, 44(22/23): 7167-7182.
[15]
吴帅兵, 张坤, 李典庆. 相关非正态变量变换时相关性变化对可靠度的影响[J]. 武汉大学学报(工学版), 2011, 44(2): 151-155. Wu Shuaibing, Zhang Kun, Li Dianqing. Effect of correlation change from transformation of correlated abnormal variables on structural reliability [J]. Engineering Journal of Wuhan University, 2011, 44(2): 151-155. (in Chinese)
[16]
吴帅兵, 李典庆, 周创兵. 结构可靠度分析中变量相关时三种变换方法的比较[J]. 工程力学, 2011, 28(5): 41-48. Wu Shuaibing, Li Dianqing, Zhou Chuangbing. Comparison among three transformation methods for structural reliability analysis with correlated variables [J]. Engineering Mechanics, 2011, 28(5): 41-48. (in Chinese)
[17]
吕大刚. 基于线性化Nataf变换的一次可靠度方法[J]. 工程力学, 2007, 24(5): 79-86. Lü Dagang. First order reliability method based on linearized Nataf transformation [J]. Engineering Mechanics, 2007, 24(5): 79-86. (in Chinese)
[18]
Low B K, Tang W H. Efficient spreadsheet algorithm for first-order reliability method [J]. Journal of Engineering Mechanics, 2007, 133(12): 1378-1387.
[19]
Agrawal G, Bhattacharya B. Partial safety factor design of rectangular partially prestressed concrete beams in ultimate flexural limit state [J]. Journal of Structural Engineering, 2010, 3(4): 257-267.
[20]
李国强, 李继华. 二阶矩矩阵法关于相关随机向量的结构可靠度计算[J]. 重庆建筑工程学院学报, 1987, 27(1): 55-67. Li Guoqiang, Li Jihua. Method of second moment matrix on the reliability calculation of dependent stochastic vector [J]. Journal of Chongqing Jianzhu University, 1987, 27(1): 55-67. (in Chinese)
[21]
贡金鑫. 工程结构可靠度计算方法[M]. 大连: 大连理工大学出版社, 2003: 1-450. Gong Jinxin. Computational methods for reliability of engineering structures [M]. Dalian: Dalian University of Technology Press, 2003: 1-450. (in Chinese)
[22]
Haldar A, Mahadevan S. Reliability assessment using stochastic finite element analysis [M]. New York: John Wiley & Sons, 2000: 55-104.
[23]
Li D, Chen Y, Lu W, et al. Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables [J]. Computers and Geotechnics, 2011, 38(1): 58-68.
[24]
Eldred M S, Webster C G, Constantine P G. Evaluation of non-intrusive approaches for Wiener-Askey generalized polynomial chaos [C]// 49th AIAA/ASME/ ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Schaumburg, IL(ILLINOIS), 2008: 1-22.
[25]
Floris C. Equivalent Gaussian process in stochastic dynamics with application to along-wind response of structures [J]. International Journal of Non-Linear Mechanics, 1996, 31(5): 779-794.
[26]
Liu P, Der Kiureghian A. Multivariate distribution models with prescribed marginals and covariances [J]. Probabilistic Engineering Mechanics, 1986, 1(2): 105-112.