基于灵敏度的可靠性优化解耦方法

doi:10.7527/S1000-6893.2014.0258

Abstract

Abstract:

A decoupling method based on reliability sensitivity is proposed for the reliability-based optimization (RBO) design of aeronautic structure. It utilizes reliability sensitivity to construct the explicit approximation of the failure probability function (FPF) with respect to design variables quickly, thus its advantage is that it only needs one reliability analysis and repeated reliability analyses can be avoided. After the approximation of the FPF is established, the target RBO problem can be transformed into a deterministic one which can be solved by conventional optimization strategies. Meanwhile, a sequential approximate optimization framework is adopted to guarantee the accuracy of the solution. Examples of composite beam and three-box simulated flap structure are given to demonstrate the feasibility and validity of the proposed optimization method.

Key words: reliability-based optimization, failure probability function, sensitivity, decoupling, importance sampling

CLC Number:

ZHU Haiyan, YUAN Xiukai. A decoupling method of reliability optimization based on sensitivity[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(3): 881-888.

References

[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.

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A decoupling method of reliability optimization based on sensitivity

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