An Improved Adaptive Chaos Control Method for Inverse Reliability Analysis
-
摘要: 自适应混沌控制方法是一种高效、稳健的逆可靠度分析方法,但在求解强非线性凹功能函数时,计算效率仍然有待提高,且可能会陷入局部最优.通过对混沌控制因子更新策略进行改进,提出了基于改进自适应混沌控制的逆可靠度分析方法.数值算例分析表明:该方法能够有效地改善混沌控制因子自适应选取时的合理性,具有更好的收敛性和更高的计算效率,为结构可靠度分析和可靠度优化问题提供了更加高效、稳健的求解途径.Abstract: The adaptive chaos control (ACC) method was an efficient and robust method for inverse reliability analysis. However, for strongly nonlinear concave performance functions, the computational efficiency of ACC still needs to be enhanced. Moreover, it might be trapped in the local optimum. Through revision of the update strategy for the chaos control factors, an improved adaptive chaos control method was presented for the inverse reliability analysis. Numerical results show that the proposed method effectively improves the rationality of adaptive selection of chaos control factors, so as to get better convergence and higher efficiency in computation. Furthermore, it makes a more efficient and robust approach for the reliability analysis and reliabilitybased design optimization.
-
[1] Tu J, Choi K K, Park Y H. A new study on reliability-based design optimization[J]. Journal of Mechanical Design,1999,121(4): 557-564. [2] Yang R J, Gu L. Experience with approximate reliability-based optimization methods[J]. Structural and Multidisciplinary Optimization,2004,26(1): 152-159. [3] Chiralaksanakul A, Mahadevan S. First-order approximation methods in reliability-based design optimization[J]. Journal of Mechanical Design,2005,127(5): 851-857. [4] Zou T, Mahadevan S. A direct decoupling approach for efficient reliability-based design optimization[J]. Structural and Multidisciplinary Optimization,2006,31(3): 190-200. [5] 李刚, 孟增. 基于RBF神经网络模型的结构可靠度优化方法[J]. 应用数学和力学, 2014,35(11): 1271-1279. (LI Gang, MENG Zeng. Reliability-based design optimization with the RBF neural network model[J]. Applied Mathematics and Mechanics,2014,35(11): 1271-1279. (in Chinese)) [6] Nikolaidis E, Burdisso R. Reliability based optimization: a safety index approach[J]. Computers & Structures,1988,28(6): 781-788. [7] 杜秀云, 薛齐文, 刘旭东. 基于Bregman距离函数的可靠性分析[J]. 应用数学和力学, 2016,37(6): 609-616. (DU Xiu-yun, XUE Qi-wen, LIU Xu-dong. Reliability analysis based on Bregman distances[J]. Applied Mathematics and Mechanics,2016,37(6): 609-616. (in Chinese)) [8] 吉猛, 姜潮, 韩硕. 一种基于同伦分析的结构可靠性功能度量法[J]. 计算力学学报, 2015,32 (2): 149-153. (JI Meng, JIANG Chao, HAN Shuo. An performance measure approach of structural reliability based on homotopy analysis[J]. Chinese Journal of Computational Mechanics,2015,32 (2): 149-153. (in Chinese)) [9] 钱云鹏, 涂宏茂, 刘勤, 等. 结构逆可靠度最可能失效点的改进搜索算法[J]. 工程力学, 2013,30(1): 394-399. (QIAN Yun-peng, TU Hong-mao, LIU Qin, et al. Improved search algorithm for most probable point of structural inverse reliability[J]. Engineering Mechanics,2013,30(1): 394-399. (in Chinese)) [10] Youn B D, Choi K K, DU Liu. Enriched performance measure approach for reliability-based design optimization[J]. AIAA Journal,2005,43(4): 874-884. [11] 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. [12] der Kiureghian A, ZHANG Yan, LI Chun-ching. Inverse reliability problem[J]. Journal of Engineering Mechanics,1994,120(5): 1154-1159. [13] LI Hong, Foschi R O. An inverse reliability method and its application[J]. Structural Safety,1998,20(3): 257-270. [14] CHENG Geng-dong, XU Lin, JIANG Lei. A sequential approximate programming strategy for reliability-based structural optimization[J]. Computers & Structures,2006,84(21): 1353-1367. [15] YANG Di-xiong, YI Ping. Chaos control of performance measure approach for evaluation of probabilistic constraints[J]. Structural and Multidisciplinary Optimization,2009,38(1): 83-92. [16] Youn B D, Choi K K, Park Y H. Hybrid analysis method for reliability-based design optimization[J]. Journal of Mechanical Design,2003,125(2): 221-232. [17] Youn B D, Choi K K, DU Liu. Adaptive probability analysis using an enhanced hybrid mean value method[J]. Structural and Multidisciplinary Optimization,2005,29(2): 134-148. [18] MENG Zeng, LI Gang, WANG Bo-ping, et al. A hybrid chaos control approach of the performance measure functions for reliability-based design optimization[J]. Computers & Structures,2015,146: 32-43. [19] LI Gang, MENG Zeng, HU Hao. An adaptive hybrid approach for reliability-based design optimization[J]. Structural and Multidisciplinary Optimization,2015,51(5): 1051-1065. [20] Keshtegar B, Lee I. Relaxed performance measure approach for reliability-based design optimization[J]. Structural and Multidisciplinary Optimization,2016,54(6): 1439-1454. [21] YI Ping, ZHU Zuo. Step length adjustment iterative algorithm for inverse reliability analysis[J]. Structural and Multidisciplinary Optimization,2016,54(4): 999-1009. [22] JIANG Chao, HAN Shuo, JI Meng, et al. A new method to solve the structural reliability index based on homotopy analysis[J]. Acta Mechanica,2015,226(4): 1067-1083.
点击查看大图
计量
- 文章访问数: 965
- HTML全文浏览量: 119
- PDF下载量: 1455
- 被引次数: 0