高超声速风洞现代试验设计方法研究

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。

Using modern design of experiments method for hypersonic wind tunnel test

Modern Design of Experiments （MDOE） is an important technical approach to improve wind tunnel test efficiency. Although the modern design of experiment method based on Latin Hypercube Sampling has high theoretical efficiency, the practical efficiency of the random sampling points designed by it decreases significantly when the automatic attitude control system of the wind tunnel model is coordinated. In this paper, a modern design of experiment method based on the Stratified Latin Hypercube design is proposed to meet the requirements of the multi-variable wind tunnel test design in the automatic attitude control system. It is applied to the two-variable test and three-variable test design of the 6 Mach number wind tunnel model. The results which were compared with the One Factor at A Time （OFAT） method show that MDOE method only needs about 20% of the sample size of OFAT method in the two-variable test and only needs about 30% of the sample size of OFAT method in the three-variable test. Compared with the classical Latin Hypercube method, the Stratified Latin Hypercube method developed in this paper combined with the existing wind tunnel test equipment can effectively reduce the change of test runs, improve the test efficiency and shorten the test period.