Application of design sensitivity in aeroelastic genetic optimization
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摘要: 利用遗传算法和遗传/敏度混合优化算法对某复合材料机翼进行气动弹性优化设计研究,并提出在使用这两种算法时根据设计敏度信息计算设计变量的重要性指标、从而确定主要和次要设计变量、进而调整设计变量变化域的方法,以提高算法的寻优效率.研究表明:设计变量变化域的定义直接影响遗传算法和遗传/敏度混合优化算法的寻优效率,特别是单独使用遗传算法时影响程度更大;定义时应该在确保设计空间包含足够的优秀可行解的前提下,尽可能地缩减搜索空间.所提出的基于设计敏度调整设计变量变化域的方法在实际应用中能取得较好的效果:该方法既能明显提高遗传算法和遗传/敏度混合优化算法的搜索效率,又能显著增强两种算法辨识可行域的能力.Abstract: A design study aimed to optimize a composite wing in an aeroelastic way was presented using genetic algorithm and genetic/sensitivity-based hybridalgorithm. In order to increase the search efficiency of the above-mentioned two algorithms, a set of methods was put forward to fix primary and secondary design variables followed by adjusting the design variable domain on the basis of design variable importance in terms of their sensitivity. Results demonstrate that the size of design variable domain had direct effects on the search efficiency of genetic algorithm and genetic/sensitivity-based hybrid algorithm, especially when the former was used. Therefore, the search space should be reduced to be as small as possible if an enough amount of excellent feasible solutions in design space could be ensured. Results indicate that the method to adjust the size of design variable domain on the basis of sensitivity has proved to be of fairly practical success, which can not only remarkably increase the search efficiency of genetic algorithm and genetic/sensitivity-based algorithm, but also strengthen the capability of the two algorithms to discriminate the feasible field.
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Key words:
- aeroelasticity /
- structural optimization /
- genetic algorithm /
- design sensitivity /
- composite wing
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[1] Wan Zhiqiang, Yang Chao, Zou Congqing. Design studies of aeroelastic tailoring of forward-swept composite aircraft using hybrid genetic algorithm . AIAA Paper 2003-1491, 2003 [2] 万志强, 杨超, 郦正能. 混合遗传算法在气动弹性多学科优化中的作用 . 北京航空航天大学 报, 2004, 30(12):1142-1146 Wan Zhiqiang, Yang Chao, Li Zhengneng. Application of hybrid genetic algorithm in aeroelastic multidisciplinary optimization[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(12):1142-1146(in Chinese) [3] Holland J H. Adaptation in natural and artificial systems[M]. Ann Arbor:University of Michigan Press, 1975:183 [4] Rodden W P, Johnson E H. MSC/Nastran aeroelastic analysis user's guide V68[M]. Log Angeles:MSC Corporation, 1994:657-698
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