Volume 40 Issue 12
Dec.  2025
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CHENG Qiyou, LI Chunhua, JIANG Jiawei, et al. Research on MDOE methods based on response surface optimization model with adaptive genetic algorithm[J]. Journal of Aerospace Power, 2025, 40(12):20240844 doi: 10.13224/j.cnki.jasp.20240844
Citation: CHENG Qiyou, LI Chunhua, JIANG Jiawei, et al. Research on MDOE methods based on response surface optimization model with adaptive genetic algorithm[J]. Journal of Aerospace Power, 2025, 40(12):20240844 doi: 10.13224/j.cnki.jasp.20240844

Research on MDOE methods based on response surface optimization model with adaptive genetic algorithm

doi: 10.13224/j.cnki.jasp.20240844
  • Received Date: 2024-12-18
    Available Online: 2025-05-19
  • The polynomial response surface model (PRSM) was characterized by its simplicity in modeling and low computational cost, making it widely used in wind tunnel tests based on the modern design of experiments (MDOE) method. However, PRSM cannot process residuals after model fitting, leading to a loss of some model matrix information and increased parameter prediction error. To address this, a residual objective function based on the difference between predicted and measured values was constructed. Then, the crossover and mutation probabilities of the genetic algorithm (GA) were improved by calculating individual fitness values using a roulette wheel selection method. This contributed to the establishment of an MDOE method optimized by an improved adaptive genetic algorithm (IAGA) for PRSM, which was applied to aircraft wind tunnel tests. The results showed that the MDOE method required only about 35% of the experimental points needed by the one factor according to OFAT method. Compared with the traditional GA-based MDOE method, the IAGA-based MDOE method decreased the prediction error of the response surface model by 1.263% and increased the average iteration speed by 3.76 times, which effectively improved the efficiency of wind tunnel tests.

     

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  • [1]
    DELOACH R. Applications of modern experiment design to wind tunnel testing at NASA Langley Research Center: AIAA 1998-713 [R]. Hampton, US AIAA, 1998.
    [2]
    MORELLI E, DELOACH R. Wind tunnel database development using modern experiment design and multivariate orthogonal functions: AIAA2002-2795 [R]. Orlando, US: AIAA, 2002.
    [3]
    MURPHY P C, LANDMAN D. Experiment design for complex VTOL aircraft with distributed propulsion and tilt wing: AIAA 2015-0017 [R]. San Diego, US: AIAA, 2015.
    [4]
    张江, 秦永明, 马汉东. 亚跨超风洞现代试验设计方法研究[J]. 空气动力学学报, 2015, 33(3): 384-391. ZHANG Jiang, QIN Yongming, MA Handong. Applications of modern design of experiments to wind tunnel tests[J]. Acta Aerodynamica Sinica, 2015, 33(3): 384-391. (in Chinese

    ZHANG Jiang, QIN Yongming, MA Handong. Applications of modern design of experiments to wind tunnel tests[J]. Acta Aerodynamica Sinica, 2015, 33(3): 384-391. (in Chinese)
    [5]
    李国帅, 魏志, 李巍, 等. 现代试验设计方法在高速风洞试验中的应用[J]. 航空学报, 2015, 36(3): 782-788. LI Guoshuai, WEI Zhi, LI Wei, et al. Using modern design of experiments methodologies for high speed wind tunnel tests[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(3): 782-788. (in Chinese

    LI Guoshuai, WEI Zhi, LI Wei, et al. Using modern design of experiments methodologies for high speed wind tunnel tests[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(3): 782-788. (in Chinese)
    [6]
    李多, 曹军义, 张征宇, 等. 跨声速风洞现代试验设计方法应用研究[J]. 空气动力学学报, 2018, 36(1): 26-30. LI Duo, CAO Junyi, ZHANG Zhengyu, et al. Applications of modern design of experiment method in transonic wind tunnel[J]. Acta Aerodynamica Sinica, 2018, 36(1): 26-30. (in Chinese

    LI Duo, CAO Junyi, ZHANG Zhengyu, et al. Applications of modern design of experiment method in transonic wind tunnel[J]. Acta Aerodynamica Sinica, 2018, 36(1): 26-30. (in Chinese)
    [7]
    尤文佳, 王慧杰, 韩仁坤, 等. 高超声速风洞现代试验设计方法研究[J]. 实验流体力学, 2022, 36(3): 20-32. YOU Wenjia, WANG Huijie, HAN Renkun, et al. Using modern design of experiments method for hypersonic wind tunnel test[J]. Journal of Experiments in Fluid Mechanics, 2022, 36(3): 20-32. (in Chinese

    YOU Wenjia, WANG Huijie, HAN Renkun, et al. Using modern design of experiments method for hypersonic wind tunnel test[J]. Journal of Experiments in Fluid Mechanics, 2022, 36(3): 20-32. (in Chinese)
    [8]
    刘帅, 王占学, 周莉, 等. 基于响应面法的短距/垂直起降飞机近地面升力损失[J]. 航空动力学报, 2017, 32(4): 874-881. LIU Shuai, WANG Zhanxue, ZHOU Li, et al. Lift loss of short/vertical takeoff and landing aircraft proximity of ground based on response surface method[J]. Journal of Aerospace Power, 2017, 32(4): 874-881. (in Chinese

    LIU Shuai, WANG Zhanxue, ZHOU Li, et al. Lift loss of short/vertical takeoff and landing aircraft proximity of ground based on response surface method[J]. Journal of Aerospace Power, 2017, 32(4): 874-881. (in Chinese)
    [9]
    刘春风, 王瑞庭, 王雪枫, 等. 基于现代试验设计的风洞天平校准方法[J]. 空气动力学学报, 2024, 42(3): 111-118. LIU Chunfeng, WANG Ruiting, WANG Xuefeng, et al. Balance calibration method based on modern design of experiments[J]. Acta Aerodynamica Sinica, 2024, 42(3): 111-118. (in Chinese

    LIU Chunfeng, WANG Ruiting, WANG Xuefeng, et al. Balance calibration method based on modern design of experiments[J]. Acta Aerodynamica Sinica, 2024, 42(3): 111-118. (in Chinese)
    [10]
    江嘉伟, 程起有, 樊枫, 等. 基于遗传算法优化的风洞试验MDOE方法[J]. 直升机技术, 2024(1): 63-68. JIANG Jiawei, CHENG Qiyou, FAN Feng, et al. Mdoe method of wind tunnel test based on genetic algorithm optimization[J]. Helicopter Technique, 2024(1): 63-68. (in Chinese

    JIANG Jiawei, CHENG Qiyou, FAN Feng, et al. Mdoe method of wind tunnel test based on genetic algorithm optimization[J]. Helicopter Technique, 2024(1): 63-68. (in Chinese)
    [11]
    唐志共, 王文正, 陈功, 等. 气动模型在现代气动试验设计中的应用研究[J]. 空气动力学学报, 2017, 35(2): 172-176. TANG Zhigong, WANG Wenzheng, CHEN Gong, et al. Research on the application of aerodynamic models in modern design of aerodynamic experiments[J]. Acta Aerodynamica Sinica, 2017, 35(2): 172-176. (in Chinese

    TANG Zhigong, WANG Wenzheng, CHEN Gong, et al. Research on the application of aerodynamic models in modern design of aerodynamic experiments[J]. Acta Aerodynamica Sinica, 2017, 35(2): 172-176. (in Chinese)
    [12]
    江嘉伟, 程起有, 刘正江, 等. 基于多项式响应面MDOE的低速风洞试验方法研究[J]. 航空科学技术, 2024, 35(6): 114-120. JIANG Jiawei, CHENG Qiyou, LIU Zhengjiang, et al. Research on low speed wind tunnel test method based on MDOE of polynomial response surface[J]. Aeronautical Science & Technology, 2024, 35(6): 114-120. (in Chinese

    JIANG Jiawei, CHENG Qiyou, LIU Zhengjiang, et al. Research on low speed wind tunnel test method based on MDOE of polynomial response surface[J]. Aeronautical Science & Technology, 2024, 35(6): 114-120. (in Chinese)
    [13]
    张江, 秦永明, 马汉东. 风洞MDOE的形式实验设计方法研究[J]. 空气动力学学报, 2016, 34(1): 59-69. ZHANG Jiang, QIN Yongming, MA Handong. Formal design of experiments method of MDOE in wind tunnel tests[J]. Acta Aerodynamica Sinica, 2016, 34(1): 59-69. (in Chinese

    ZHANG Jiang, QIN Yongming, MA Handong. Formal design of experiments method of MDOE in wind tunnel tests[J]. Acta Aerodynamica Sinica, 2016, 34(1): 59-69. (in Chinese)
    [14]
    DELOACH R, PHILIPSEN I. Stepwise regression analysis of MDOE balance calibration data acquired at DNW: AIAA 2007-144[R]. Eindhoven, Holland: AIAA, 2007.
    [15]
    LANDMAN D, SIMPSON J, VICROY D, et al. Response surface methods for efficient complex aircraft configuration aerodynamic characterization[J]. Journal of Aircraft, 2007, 44(4): 1189-1195. doi: 10.2514/1.24810
    [16]
    SIMMONS B M, MURPHY P C. Wind tunnel-based aerodynamic model identification for a tilt-wing, distributed electric propulsion aircraft: AIAA2021-1298 [R]. Hampton, US: AIAA, 2021.
    [17]
    DELOACH R, MICOL J. Comparison of resource requirements for a wind tunnel test designed with conventional vs. modern design of experiments methods: AIAA2011-1260 [R]. Reston, US: AIAA, 2011.
    [18]
    赵照, 熊建军, 冉林, 等. 大型结冰风洞热气供气防除冰试验技术[J]. 航空动力学报, 2024, 39(5): 20210582. ZHAO Zhao, XIONG Jianjun, RAN Lin, et al. Hot air supply anti/de-icing test technology in large-scale icing wind tunnel[J]. Journal of Aerospace Power, 2024, 39(5): 20210582. (in Chinese).

    ZHAO Zhao, XIONG Jianjun, RAN Lin, et al. Hot air supply anti/de-icing test technology in large-scale icing wind tunnel[J]. Journal of Aerospace Power, 2024, 39(5): 20210582. (in Chinese).
    [19]
    陆嘉诚. 基于改进自适应遗传算法与响应面法的桥梁结构有限元模型修正研究[D]. 西安: 长安大学, 2023. LU Jiacheng. Research on finite element model updating of bridge structure based on improved adaptive genetic algorithm and response surface method[D]. Xi’an: Chang’an University, 2023. (in Chinese

    LU Jiacheng. Research on finite element model updating of bridge structure based on improved adaptive genetic algorithm and response surface method[D]. Xi’an: Chang’an University, 2023. (in Chinese)
    [20]
    吉利. 基于响应面法的航天器有限元模型修正方法研究[D]. 哈尔滨: 哈尔滨工业大学, 2020. JI Li. Study of finite element model updating method for spacecraft based on response surface method[D]. Harbin: Harbin Institute of Technology, 2020. (in Chinese

    JI Li. Study of finite element model updating method for spacecraft based on response surface method[D]. Harbin: Harbin Institute of Technology, 2020. (in Chinese)
    [21]
    任露泉. 试验优化设计与分析[M]. 2版. 北京: 高等教育出版社, 2003. REN Luquan. Optimum design and analysis of experiments[M]. 2nd ed. Beijing: Higher Education Press, 2003. (in Chinese

    REN Luquan. Optimum design and analysis of experiments[M]. 2nd ed. Beijing: Higher Education Press, 2003. (in Chinese)
    [22]
    方开泰. 正交设计与均匀设计[M]. 北京: 高等教育出版社, 2002. FANG Kaitai. Orthogonal design and uniform design[M]. Beijing: Higher Education Press, 2002. (in Chinese

    FANG Kaitai. Orthogonal design and uniform design[M]. Beijing: Higher Education Press, 2002. (in Chinese)
    [23]
    方开泰, 刘民千, 周永道. 试验设计与建模[M]. 北京: 高等教育出版社, 2011. FANG Kaitai, LIU Minqian, ZHOU Yongdao. Design and modeling of experiments[M]. Beijing: Higher Education Press, 2011. (in Chinese

    FANG Kaitai, LIU Minqian, ZHOU Yongdao. Design and modeling of experiments[M]. Beijing: Higher Education Press, 2011. (in Chinese)
    [24]
    黄明其, 袁红刚, 武杰. 直升机旋翼气动特性风洞试验技术[M]. 北京: 国防工业出版社, 2022. HUANG Mingqi, YUAN Honggang, WU Jie. Wind tunnel test technology of helicopter rotor aerodynamic characteristics[M]. Beijing: National Defense Industry Press, 2022. (in Chinese

    HUANG Mingqi, YUAN Honggang, WU Jie. Wind tunnel test technology of helicopter rotor aerodynamic characteristics[M]. Beijing: National Defense Industry Press, 2022. (in Chinese)
    [25]
    韩忠华. Kriging模型及代理优化算法研究进展[J]. 航空学报, 2016, 37(11): 3197-3225. HAN Zhonghua. Kriging surrogate model and its application to design optimization: a review of recent progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11): 3197-3225. (in Chinese

    HAN Zhonghua. Kriging surrogate model and its application to design optimization: a review of recent progress[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(11): 3197-3225. (in Chinese)
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