Structural reliability analysis for implicit performance functions using artificial neural network

Madsen, 1986 Harr, 1987 Ditlevsen, 1996 Melchers, 1999 Nowak, 2000 Wong, 1985, Slope reliability and response surface method, J Geotechn Eng Div, ASCE, 111, 32, 10.1061/(ASCE)0733-9410(1985)111:1(32) Guan, 1997, Multitangent-plane surface method for reliability calculation, J Eng Mech, 123, 996, 10.1061/(ASCE)0733-9399(1997)123:10(996) Faravelli, 1989, Response surface approach for reliability analysis, J Eng Mech, 115, 2763, 10.1061/(ASCE)0733-9399(1989)115:12(2763) Bucher, 1990, A fast and efficient response surface approach for structural reliability problems, Struct Saf, 7, 57, 10.1016/0167-4730(90)90012-E Rajashekhar, 1993, A new look at the response surface approach for reliability analysis, Struct Saf, 12, 205, 10.1016/0167-4730(93)90003-J Melchers, 1990, Radial importance sampling for structural reliability, J Eng Mech, ASCE, 116, 189, 10.1061/(ASCE)0733-9399(1990)116:1(189) Haldar, 2000 Hornik, 1989, Multi-layer feed-forward networks are universal approximators, Neural Networks, 2, 359, 10.1016/0893-6080(89)90020-8 Hornik, 1990, Universal approximation of an unknown mapping and its derivatives using multi-layer feed-forward networks, Neural Networks, 3, 551, 10.1016/0893-6080(90)90005-6 Cardaliaguet, 1992, Approximation of a function and its derivatives with a neural network, Neural Networks, 5, 207, 10.1016/S0893-6080(05)80020-6 Chapman, 1995, Neural networks in probabilistic structural mechanics, 317 Li, 1996, Simultaneous approximations of multivariate functions and derivatives by neural networks with one hidden layer, Neurocomputing, 12, 327, 10.1016/0925-2312(95)00070-4 FaroopAnjum, 1997, Response surface methodology: a neural network approach, Eur J Oper Res, 101, 65, 10.1016/S0377-2217(96)00232-9 Gomesa, 2004, Comparison of response surface and neural network with other methods for structural reliability analysis, Struct Saf, 26, 49, 10.1016/S0167-4730(03)00022-5 Deng, 2002, Finite element Monte-Carlo method using neural networks for geotechnical reliability analysis, J Tongji Univ, 30, 269 Deng, 2003, Pillar design by combining finite element methods, neural networks and reliability: a case study of the Feng Huangshan copper mine, China, Int J Rock Mech Mining Sci, 40, 585, 10.1016/S1365-1609(03)00042-X Hagan, 1996 Hecht-Nielsen, 1989 Masters, 1993 Zhao, 1996 Lu, 1994, Structural approximate analysis method based on neural network, Sci China (Ser A), 24, 653 Breitung, 1984, Asymptotic approximation for multinormal integrals, J Eng Mech Div, ASCE, 110, 357, 10.1061/(ASCE)0733-9399(1984)110:3(357) Rackwitz, 1978, Structural reliability under combined random load sequences, Comput Struct, 9, 484, 10.1016/0045-7949(78)90046-9