基于多项式响应面MDOE的低速风洞试验方法研究  

Research on Low Speed Wind Tunnel Test Method Based on MDOE of Polynomial Response Surface

作　　者：江嘉伟 程起有[1] 刘正江 陈卫星[1] Jiang Jiawei;Cheng Qiyou;Liu Zhengjiang;Chen Weixing(National Key Laboratory of Helicopter Aeromechanics,China Helicopter Research and Development Institute,Jingdezhen 333001,China)

机构地区：[1]中国直升机设计研究所直升机动力学全国重点实验室,江西景德镇333001

出　　处：《航空科学技术》2024年第6期114-120,共7页Aeronautical Science & Technology

摘　　要：现有的基于各类统计模型的现代试验设计(MDOE)方法存在计算量大、建模较复杂导致整体风洞试验效率下降的不足。针对这一问题,本文提出一种将多项式响应面模型与现代试验设计相结合的优化设计方法。采用中心复合设计在自变量区间中划分试验点并进行风洞试验获取气动力,利用最小二乘法确定多项式待定系数,构建响应面模型,并进行方差分析及显著性检验,最后选取了5个传统单变量(OFAT)方法试验点检验响应面模型的拟合精度。结果表明,与传统单变量风洞试验方法相比,本文提出的基于多项式响应面MDOE的低速风洞试验方法具有建模容易、计算量较小、预测校准的优点,可使试验样本点减少50%左右,能够有效提升风洞试验效率。The existing modern design of experiment(MDOE)methods based on various statistical models have a large amount of calculation and complex modeling,which leads to a decrease in the efficiency of the overall wind tunnel test.In order to solve this problem,an optimization design method combining polynomial response surface model with modern design of experiment is proposed in this paper.The central composite design was used to divide the test points in the independent variable interval and the wind tunnel test was carried out to obtain the aerodynamic force.The polynomial undetermined coefficients were determined by the least square method,and the response surface model was constructed.The analysis of variance and significance test were carried out.Finally,five traditional single variable(OFAT)method test points were selected to test the fitting accuracy of the response surface model.The results show that compared with the traditional univariate wind tunnel test method,the low-speed wind tunnel test method based on polynomial response surface MDOE proposed in this paper has the advantages of easy modeling,small calculation amount and prediction calibration,which can reduce the test sample points by about 50%and effectively improve the efficiency of wind tunnel test.

关 键 词：多项式响应面模型 MDOE 风洞试验 中心复合设计 方差分析 

分 类 号：V211.52[航空宇航科学与技术—航空宇航推进理论与工程]