LIU Bo-lin, XIE Li-yang. An Improved Method of Global Reliability Analysis[J]. Journal of Northeastern University Natural Science, 2020, 41(7): 943-948.
[1]Papadrakakis M,Lagaros N D.Reliability-based structural optimization using neural networks and Monte Carlo simulation[J].Computer Methods in Applied Mechanics and Engineering,2001,191(32):3491-3507. [2]Bourinet J M,Deheeger F,Lemaire M.Assessing small failure probabilities by combined subset simulation and support vector machines[J].Structural Safety,2011,33(6):343-353. [3]Kaymaz I.Application of Kriging method to structural reliability problems[J].Structural Safety,2005,27(2) :133-151. [4]Echard B,Gayton N,Lemaire M,et al.A combined importance sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models[J].Reliability Engineering & System Safety,2013,111(8):232-240. [5]Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7(1):57-66. [6]Zhang C Y,Wang Z,Fei C W,et al.Fuzzy multi-SVR learning model for reliability-based design optimization of turbine blades[J].Materials,2019,12(15):2341-2355. [7]Song L K,Bai G C,Fei C W.Probabilistic LCF life assessment of turbine discs using DC-based wavelet neural network regression[J].International Journal of Fatigue,2019,119:204-219. [8]Fei C W,Lu C,Feng Y W,et al.Improved decomposed-coordinated Kriging modeling strategy for dynamic probabilistic analysis of multi-component structures[J].IEEE Transactions on Reliability,2019,29:54379. [9]Fei C W,Lu C,Rhea P.Decomposed-coordinated surrogate modelling strategy for compound function approximation and a turbine blisk reliability evaluation[J].Aerospace Science and Technology,2019,95:105466. [10]Lu C,Feng Y W,Rhea P,et al.Improved Kriging with extremum response surface method for structural dynamic reliability and sensitivity analyses[J].Aerospace Science and Technology,2018,76:164-175. [11]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. [12]Echard B,Gayton N,Lemaire M.AK-MCS:an active learning reliability method combining Kriging and Monte Carlo simulation[J].Structural Safety,2011,33(2):145-154. [13]Jones D R,Schonlau M,Welch W J.Efficient global optimization of expensive black-box functions[J].Journal of Global Optimization,1998,13(4):455-492. [14]Li L Y,Lu Z Z,Feng J,et al.Moment-independent importance measure of basic variable and its state dependent parameter solution[J].Structural Safety,2012,38:40-47. [15]关守平,房少纯.一种新型的区间-粒子群优化算法[J].东北大学学报(自然科学版),2012,33(10):1381-1384.(Guan Shou-ping,Fang Shao-chun.A new interval particle swarm optimization algorithm[J].Journal of Northeastern University(Natural Science),2012,33(10):1381-1384.)