[1] 吕震宙,宋淑芳,李洪双,等.结构机构可靠性及可靠性灵敏度分析[M]北京:科学出版社,2009:1-6.LV Z Z,SONG S F,LI H S,et al.Reliability and reliability sensitivity analysis of structural mechanism[M].Beijing:Science Press,2009:1-6(in Chinese). [2] HASOFER A M,LIND N C.Exact and invariant second-moment code format[J].Journal of the Engineering Mechanics Division,1974,100(1):111-121. [3] 李洪双,马远卓.结构可靠性分析与随机优化设计的统一方法[M]北京:国防工业出版社,2015:89-92.LI H S,MA Y Z.Unified method for structural reliability analysis and stochastic optimization design[M].Beijing:National Defense Industry Press,2015:89-92(in Chinese). [4] BUCHER C G,BOURGUND U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7(1):57-66. [5] RAJASHEKHAR M R,ELLINGWOOD B R.A new look at the response approach for reliability analysis[J].Structural Safety,1993,12(3):205-220. [6] DAS P K,ZHENG Y.Cumulative formation of response surface and its use in reliability analysis[J].Probabilistic Engineering Mechanics,2000,15(4):309-315. [7] KAYMAZ I,MCMAHON C A.A response surface method based on weighted regression for structural reliability analysis[J].Probabilistic Engineering Mechanics,2005,20(1):11-17. [8] KIM S H,NA S W.Response surface method using vector projected sampling points[J].Structural Safety,1997,19(1):3-19. [9] KANG S,KOH H.An efficient response surface method using moving least squares approximation for structural reliability analysis[J].Probabilistic Engineering Mechanics,2010,25(4):365-371. [10] 韦益夫,KAWAMURA YASUMI,王德禹.改进移动最小二乘法及其在结构可靠性分析中的应用[J].上海交通大学学报,2018,52(4):455-460.WEI Y F,KAWAMURA Y,WANG D Y.An improved moving least square method and application in structural reliability analysis[J].Journal of Shanghai Jiao Tong University,2018,52(4):455-460(in Chinese). [11] 王骞,张建国,彭文胜,等.基于复合函数的复杂机械系统分层响应面建模与可靠性分析[J].兵工学报,2018,39(3):590-597.WANG Q,ZHANG J G,PENG W S,et al.Hierarchical response surface modeling and reliability analysis of complex mechanical system based on composite function[J].Acta Armamentarii,2018,39(3):590-597(in Chinese). [12] 张春宜,宋鲁凯,费成巍,等.柔性机构动态可靠性分析的先进极值响应面方法[J].机械工程学报,2017,53(7):47-54.ZHANG C Y,SONG L K,FEI C W,et al.Advanced extremum response surface method for dynamic reliability analysis on flexible mechanism[J].Journal of Mechanical Engineering,2017,53(7):47-54(in Chinese). [13] GUIMARAES H,MATOS J C,HENRIQUES A A.An innovative adaptive sparse response surface method for structural reliability analysis[J].Structural Safety,2018,73:12-28. [14] SHANYANFAR M A,BARKNHORDARI M A,ROUDAK M A.A new effective approach for computation of reliability index in nonlinear problems of reliability analysis[J].Communications in Nonlinear Science and Numerical Simulation,2018,60:184-202. [15] YANG D X.Chaos control for numerical instability of first order reliability method[J].Communications in Nonlinear Science and Numerical Simulation,2010,15(10):3131-3141. [16] CHOI S K,CANFIELD R A,GRANDHI R.Reliability-based structural design[M].Berlin:Springer,2007:111-113. |