[1] Luo Y J, Zhou M D, Wang Y, et al. Reliability based topology optimization for continuum structures with local failure constraints[J]. Computers and Structures, 2014, 143(17-18): 73-84.
[2] Chen J Q, Tang Y F, Ge R, et al. Reliability design optimization of composite structures based on PSO together with FEA[J]. Chinese Journal of Aeronautics, 2013, 26(2): 343-349.
[3] Huang H Z, Yu H, Yuan Y H, et al. Individual disciplinary feasible method for reliability based multidisciplinary design optimization[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(10): 1871-1876 (in Chinese). 黄洪钟, 余辉, 袁亚辉, 等. 基于单学科可行法的多学科可靠性设计优化[J]. 航空学报, 2009, 30(10): 1871-1876.
[4] Tu J, Choi K K, Park Y H. A new study on reliability-based design optimization[J]. ASME Journal of Mechanical Design, 1999, 121(4): 557-564.
[5] Kuschel N, Rackwitz R. Two basic problems in reliability-based structural optimization[J]. Mathematical Methods of Operations Research, 1997, 46(3): 309-333.
[6] Zou T, Mahadevan S. A direct decoupling approach for efficient reliability-based design optimization[J]. Structural and Multidisciplinary Optimization, 2006, 31(3): 190-200.
[7] Jensen H A, Catalan M A. On the effects of non-linear elements in the reliability-based optimal design of stochastic dynamical systems[J]. International Journal of Non-Linear Mechanics, 2007, 42(5): 802-816.
[8] Jacobs J H, Etman L F P, van Keulen F, et al. Framework for sequential approximate optimization[J]. Structural and Multidisciplinary Optimization, 2004, 27(5): 384-400.
[9] Valdebenito M A, Schuëller G I. Efficient strategies for reliability-based optimization involving non-linear, dynamical structures[J]. Computer and Structures, 2011, 89(19-20): 1797-1811.
[10] Yuan X K, Lu Z Z. Reliability sensitivity analysis method based on importance sampling[J]. Journal of Mechanical Strength, 2007, 29(5): 760-764 (in Chinese). 袁修开, 吕震宙. 可靠性灵敏度分析的重要抽样法[J]. 机械强度, 2007, 29(5): 760-764.
[11] Lu Z Z, Song S F, Li H S, et al. Structural reliability and reliability sensitivity analysis[M]. Beijing: Science Press, 2009: 90-178(in Chinese). 吕震宙, 宋述芳, 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: 90-178.
[12] Au S K, Beck J L. A new adaptive important sampling scheme[J]. Structural Safety, 1999, 21(2): 135-158.
[13] Yuan X K, Lu Z Z. Efficient approach for reliability-based optimization based on weighted importance sampling approach[J]. Reliability Engineering & System Safety, 2014, 132(12): 107-114. |