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高超声速风洞现代试验设计方法研究

尤文佳 王慧杰 韩仁坤 陈刚

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 doi: 10.11729/syltlx20210179
引用本文: 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 doi: 10.11729/syltlx20210179
YOU W J,WANG H J,HAN R K,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. doi: 10.11729/syltlx20210179
Citation: YOU W J,WANG H J,HAN R K,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. doi: 10.11729/syltlx20210179

高超声速风洞现代试验设计方法研究

doi: 10.11729/syltlx20210179
详细信息
    作者简介:

    尤文佳:(1996—),女,山西长治人,硕士研究生。研究方向:现代风洞试验技术及数据融合。通信地址:陕西省西安市咸宁西路28号西安交通大学航天航空学院(710049)。E-mail:youwenjia2020@stu.xjtu.edu.cn

    通讯作者:

    E-mail:aachengang@xjtu.edu.cn

  • 中图分类号: V211.71

Using modern design of experiments method for hypersonic wind tunnel test

  • 摘要: 现代试验设计(Modern Design of Experiments,MDOE)方法是提升风洞试验效率的一种重要技术途径。基于拉丁超立方的现代试验设计方法尽管理论效率很高,但其设计的随机采样点在与风洞模型姿态自动控制系统配合时,实际效率会显著下降。根据现有风洞试验设备控制系统走刀特点,针对多变量风洞试验设计需求,提出一种基于分层拉丁超立方的现代风洞试验设计方法,并将其应用于马赫数6的风洞模型的二变量试验和三变量试验设计。在满足精度的情况下,将MDOE方法与传统试验设计(One Factor at A Time,OFAT)方法进行对比,结果表明:二变量试验中,MDOE方法仅需OFAT方法20%左右的样本量;三变量试验中,MDOE方法仅需OFAT方法30%左右的样本量。与经典拉丁超立方试验设计方法相比,本文所发展的分层拉丁超立方试验设计方法结合现有风洞试验设备,可有效减少试验车次,提高试验效率,缩短试验周期。
  • 图  1  最大化最小距离准则的分层LHS设计

    Figure  1.  Stratified LHS design of maximum and minimum distance

    图  2  最小化最大距离准则的分层LHS设计

    Figure  2.  Stratified LHS design of minimum and maximum distance

    图  3  最小差异准则的分层LHS设计

    Figure  3.  Stratified LHS design of minimize discrepancy

    图  4  相对理想累积分布最小均方根差异准则的分层LHS设计

    Figure  4.  Stratified LHS design to minimize RMS variation from cumu-lative distribution function

    图  5  相对理想累积分布最小最大差异准则的分层LHS设计

    Figure  5.  Stratified LHS design to minimize maximum variation from cumulative distribution function

    图  6  小迎角区间二变量试验的样本点分布及各纵向气动系数的响应面

    Figure  6.  Sample point and response surface of each longitudinal aerodynamic coefficient for the two-variable test in small angle of attack

    图  7  大迎角区间二变量试验的样本点分布及各纵向气动系数的响应面

    Figure  7.  Sample point and response surface of each longitudinal aerodynamic coefficient for the two-variable test in big angle of attack

    图  8  各纵向气动系数的置信区间

    Figure  8.  Confidence intervals of longitudinal aerodynamic coefficients

    图  9  小迎角区间三变量试验俯仰力矩系数样本点分布及响应面

    Figure  9.  Sample point and response surface of pitching moment coefficient for the three-variable test in small angle of attack

    图  10  大迎角区间三变量试验俯仰力矩系数样本点分布及响应面

    Figure  10.  Sample point and response surface of pitching moment coefficient for the three-variable test in big angle of attack

    图  11  相同变量条件下的试验对比图

    Figure  11.  Comparison of the same variables test

    表  1  二变量试验中OFAT方法所取的变量及水平值

    Table  1.   Variables and level values taken by OFAT method in the two-variable test

    变量水平值
    α/(°) 小区间 –2,–1,0,1,2,3,4,5,6,7,8,9,10
    大区间 10,12,13,14,16,17,18,19,21,22,23,25
    β/(°) –6,–4,–2,0,2,4,6
    下载: 导出CSV

    表  2  三变量试验中OFAT方法所取的变量及水平值

    Table  2.   Variables and level values taken by OFAT method in the three-variable test

    变量水平值
    α/(°) 小区间 –2,1,4,7,10
    大区间 10,13,16,19,22,25
    β/(°) –6,–4,–2,0,2,4,6
    δ/(°) –7.5,–5.0,–2.5,0,2.5,5.0,7.5
    下载: 导出CSV

    表  3  不同准则下的响应面检验结果

    Table  3.   Response surface test results of different criteria

    不同准则下的分层LHS设计均方误差整体均方根误差判定系数R2
    最大化最小距离准则 3.1729×10–9 5.6329×10–5 0.999859
    最小化最大距离准则 3.3033×10–8 1.8175×10–4 0.998444
    最小差异准则 3.5695×10–8 1.8893×10–4 0.998424
    相对理想累积分布最小均方根差异准则 1.4388×10–8 1.1995×10–4 0.999338
    相对理想累积分布最小最大差异准则 1.5387×10–8 1.2404×10–4 0.999328
    下载: 导出CSV

    表  4  小迎角区间响应面多项式的构成

    Table  4.   The formation of polynomials of response surface in small angle of attack interval

    变量αβα2β2αβα3β3αβ2α2β
    CL
    CD
    Cm
    下载: 导出CSV

    表  5  大迎角区间响应面多项式的构成

    Table  5.   The formation of polynomials of response surface in big angle of attack interval

    变量αβα2β2αβα3β3αβ2α2β
    CL
    CD
    Cm
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-11-04
  • 录用日期:  2022-04-07
  • 修回日期:  2022-04-06
  • 网络出版日期:  2022-07-12
  • 刊出日期:  2022-06-25

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