An Analysis Method of Mechanical Structural Reliability Based on the Kriging Model
LIU Kuo1, LI Xiao-lei2, WANG Jian3
1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China; 2. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China; 3. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China.
LIU Kuo, LI Xiao-lei, WANG Jian. An Analysis Method of Mechanical Structural Reliability Based on the Kriging Model[J]. Journal of Northeastern University Natural Science, 2017, 38(7): 1002-1006.
[1]Alvarez D A,Hurtado J E.An efficient method for the estimation of structural reliability intervals with random sets,dependence modeling and uncertain inputs[J].Computers and Structures,2014,142:54-63. [2]Blatman G,Sudret B.An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis[J].Probabilistic Engineering Mechanics 2010,25:183-197. [3]Roussouly N,Petitjean F,Salaun M.A new adaptive response surface method for reliability analysis[J].Probabilistic Engineering Mechanics,2013,32:103-115 [4]Echard B,Gayton N,Lemaire M.AK-MCS:an active learning reliability method combining Kriging and monte carlo simulation[J].Structural Safety,2011,33:145-154. [5]佟操,孙志礼,杨丽,等,一种基于Kriging和Monte Carlo的主动学习可靠度算法[J].航空学报,2015,36(9):2992-3001.(Tong Cao,Sun Zhi-li,Yang Li,et al.An active learning reliability method based on Kriging and Monte Carlo [J].Acta Aeronautica et Astronautica Sinica,2015,36(9):2992-3001.) [6]杨多和,安伟光,李铁钧.基于人工神经网络的结构可靠性分析[J].兵工学报,2007,28(4):495-498.(Yang Duo-he,An Wei-guang,Li Tie-jun.Structural reliability analysis based on artificial neural network[J].Acta Armamentarii,2007,28(4):495-498.) [7]Alibrandi U,Alani A M,Ricciardi G.A new sampling strategy for SVM-based response surface for structural reliability analysis[J].Probabilistic Engineering Mechanics,2015,41:1-12. [8]张琦,李兴斯.基于Kriging模型的结构可靠性分析[J],计算力学学报,2006,23(2):175-179.(Zhang Qi,Li Xing-si.Analysis of structural reliability based on Kriging model[J].Chinese Journal of Computational Mechanics,2006,23(2):175-179.) [9]Xiong F F,Liu Y,Xiong Y,et al.A double weighted stochastic response surface method for reliability analysis[J].Journal of Mechanical Science and Technology,2012,26 (8):2573-2580. [10]Nguyen X S,Sellier A,Duprat F,et al.Adaptive response surface method based on a double weighted regression technique[J].Probabilistic Engineering Mechanics,2009,24:135-143. [11]Gao Y,Turng L S,Wang X.Adaptive geometry and process optimization for injection molding using the Kriging surrogate model trained by numerical simulation[J].Advances in Polymer Technology,2008,27(1):1-16. [12]Shi X,Teixeira A P,Zhang J,et al.Structural reliability analysis based on probabilistic response modelling using the maximum entropy method[J].Engineering Structures,2014,70(9):106-116.