About the accuracy of a novel response surface method for the analysis of finite element modeled uncertain structures

Sudret, 2000 Bucher, 1988, Adaptive sampling—an iterative fast Monte Carlo procedure, Struct Safety, 5, 119, 10.1016/0167-4730(88)90020-3 Melchers, 2003, FORM for discontinuous and truncated probability density functions, Struct Safety, 25, 305, 10.1016/S0167-4730(03)00002-X Liu, 1991, Finite element reliability of geometrically nonlinear uncertain structures, J Engng Mech, 117, 1806, 10.1061/(ASCE)0733-9399(1991)117:8(1806) Nelder, 1966, Inverse polynomials, a useful group of multifactor response function, Biometrics, 22, 128, 10.2307/2528220 Guan, 2001, Effect of response surface parameter variation on structural reliability estimates, Struct Safety, 23, 429, 10.1016/S0167-4730(02)00013-9 Rajashekhar, 1993, A new look at the response surface approach for reliability analysis, Struct Safety, 12, 205, 10.1016/0167-4730(93)90003-J Kim, 1997, Response surface method using vector projected sampling points, Struct Safety, 19, 3, 10.1016/S0167-4730(96)00037-9 Zheng, 2000, Improved response surface method and its application to stiffened plate reliability analysis, Engng Struct, 22, 544, 10.1016/S0141-0296(98)00136-9 Falsone, 2002, A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters, Comput Meth Appl Mech Engng, 191, 5067, 10.1016/S0045-7825(02)00437-1 Impollonia, 2003, A response surface approach for the static analysis of stochastic structures with geometrical nonlinearities, Comput Meth Appl Mech Engng, 192, 4109, 10.1016/S0045-7825(03)00379-7