Application of Response Surface Method to Structural Optimization of Self-excited Pulse Nozzles
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摘要: 为了提高自激脉冲喷嘴的射流性能，利用CFD对自激脉冲喷嘴进行流场的数值分析，并与响应面法相结合对喷嘴结构进行全局优化。建立以喷嘴进口直径d1、出口直径d2、腔长Lc、腔径Dc为设计变量，以打击力F为目标函数的数学优化模型；通过对建立的数学模型进行分析，获得喷嘴结构的最优参数；最后对优化后的结构进行对比分析，得到优化后的喷嘴在射流性能上有显著的提高，其打击力提高约20%；并且通过分析因素交互作用图，得到各个结构参数对射流性能的影响规律。Abstract: In order to improve the jet performance of self-excited pulse nozzles, the flow field of self-excited pulse nozzle was numerically analyzed by computation fluid dynamics (CFD), and the structure of the nozzle was optimized globally using the response surface method. A mathematic optimization model with nozzle inlet diameter d1, outlet diameter d2, cavity length Lc, cavity diameter Dc as design variables and the impact force F as objective function was established. Through analyzing the mathematical model established, the parameters' optimal values of the nozzle structure are obtained. Finally, the optimized nozzle structure was analyzed and compared with the original, and it was found that the jet performance of the optimized nozzle was significantly improved, and the impact force was increased by about 20%. By analyzing the interaction diagram, the influence of each structural parameter on the jet performance was obtained.
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表 6 实验设计方案及响应值
实验编号 设计变量/mm 打击力F/N d1 d2 Lc Dc 1 6.5 8 50 75 462 2 4.0 8 35 75 300 3 9.0 11 35 90 721 4 4.0 11 20 75 208 5 6.5 8 35 60 495 6 6.5 14 35 90 472 7 6.5 11 20 60 571 8 6.5 11 50 90 508 9 6.5 11 35 75 558 10 9.0 8 35 75 536 11 4.0 11 35 60 220 12 9.0 11 50 75 689 13 6.5 8 20 75 523 14 9.0 14 35 75 818 15 9.0 11 20 75 756 16 4.0 14 35 75 120 17 9.0 11 35 60 720 18 6.5 11 50 60 499 19 4.0 11 35 90 219 20 6.5 11 35 75 558 21 6.5 11 20 90 566 22 6.5 8 35 90 495 23 6.5 11 35 75 558 24 6.5 11 35 75 558 25 6.5 14 20 75 422 26 4.0 11 50 75 236 27 6.5 11 35 75 558 28 6.5 14 35 60 475 29 6.5 14 50 75 509 
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表 7 回归模型误差统计分析
统计项目 数值 相关系数R-Squared 0.993 5 修正相关系数Adj R-Squared 0.986 9 预测相关系数Pred R-Squared 0.962 4
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表 8 自激振荡喷嘴回归模型方差分析结果
方差来源 均方误差 F值 p值 模型 61 351.47 152.16 < 0.000 1 A-d1 7.39×105 1 832.62 < 0.000 1 B-d2 97.91 0.24 0.629 8 C-Lc 1 677.02 4.16 0.060 7 D-Dc 1.33×10-4 3.31×10-7 0.999 5 AB 62 906.41 156.02 < 0.000 1 AC 2 312.12 5.73 0.031 2 AD 2.22 5.52×10-3 0.941 8 BC 5 453.97 13.53 0.002 5 BD 1.47 3.64×10-3 0.952 7 CD 47.92 0.12 0.735 4 A2 32 164.61 79.77 < 0.000 1 B2 23 519.48 58.33 < 0.000 1 C2 1 428.2 3.54 0.080 8 D2 1 144.76 2.84 0.114 1 残差 403.2 失拟项 564.47 纯误差 0
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