Der Kiureghian A, Zhang Y, Li C C. Inverse reliability problem [J]. Journal of Engineering Mechanics, 1994, 120(5): 1154―1159.
[2]
Aldebenito M A, Schu?ller G I. A survey on approaches for reliability-based optimization [J]. Structural and Multidisciplinary Optimization, 2010, 42(5): 645―663.
[3]
Tu J, Choi K K. A new study on reliability based design optimization [J]. Journal of Mechanical Design, 1999, 121(4): 557―564.
[4]
Youn B D, Choi K K, Du L. Enriched performance measure approach for reliability-based design optimization [J]. AIAA Journal, 2005, 43(4): 874―884.
[5]
Youn B D, Choi K K. An investigation of nonlinearity of reliability-based design optimization approaches [J]. Journal of Mechanical Design, 2004, 126(3): 403―411.
[6]
Du X P, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design [J]. Journal of Mechanical Design, 2004, 126(2): 225―233.
[7]
Yin X L, Chen W. Enhanced sequential optimization and reliability assessment method for probabilistic optimization with varying design variance [J]. Structure and Infrastructure Engineering, 2006, 2(3/4): 261―275.
[8]
Yi P, Cheng G D, Jiang L. A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization [J]. Structural Safety, 2008, 30(2): 91―109.
[9]
Li H, Foschi R O. An inverse reliability method and its application [J]. Structural Safety, 1998, 20(3): 257―270.
[10]
Wu Y T, Wirsching P H. New algorithm for structural reliability estimation [J]. Journal of Engineering Mechanics, 1987, 113(9): 1319―1336.
[11]
Du X P, Sudjianto A, Chen W. An integrated framework for probabilistic optimization using inverse reliability strategy [C]// ASME. International Design Engineering Technical Conferences and the Computers and Information in Engineering Conference. Chicago USA, ASME, 2003.
[12]
Ramu P, Qu X Y, Youn B D, et al. Inverse reliability measures and reliability-based design optimization [J]. International Journal of Reliability and Safety, 2006, 1(1/2): 187―205.
[13]
Shayanfar M A, Massah S R, Rahami H. An inverse reliability method using neural networks and genetic algorithms [J]. World Applied Sciences Journal, 2007, 2(6): 594―601.
[14]
Cheng J, Li Q S. Application of the response surface methods to solve inverse reliability problems with implicit response functions [J]. Computational Mechanics, 2008, 43(4): 451―459.
Yi Ping, Yang Dixiong. Convergence control of probabilistic structural design optimization based on performance measure approach [J]. China Journal of Theoretical and Applied Mechanics, 2008, 40(1): 128―134. (in Chinese)
Qin Quan, Lin Daojin, Mei Gang. Stochastic finite element method for structural reliability-theory and engineering applications [M]. Beijing: Tsinghua University Press, 2006: 21―26. (in Chinese)
[19]
袁亚湘, 孙文瑜. 最优化理论与方法[M]. 北京: 科学出版社, 2005: 94―107.
[20]
Yuan Yaxiang, Sun Wenyu. Optimization theory and methods [M]. Beijing: Science Press, 2005: 94―107. (in Chinese)
[21]
Gong J X, Yi P. A robust iterative algorithm for structural reliability analysis [J]. Structural and Multidisciplinary Optimization, 2011, 43(4): 519―527.
