一种基于响应面的翼型鲁棒优化设计方法

针对不确定因素引起的翼型气动性能波动现象,探讨了翼型几何形状随机不确定波动对翼型气动特性的影响,并进行了减小此影响的鲁棒优化设计。引入类别形状函数变换(CST)方法可以大大降低设计变量自由度数目,以NACA0012翼型为例,进行了考虑翼型几何形状随机扰动的气动不确定性分析,发现几何形状的微小波动对升力特性影响很小。发展了一种基于响应面和遗传算法的鲁棒优化设计方法,能够高效的减小阻力及其波动的影响。计算结果显示尽管相对于确定性优化结果鲁棒优化阻力略有增加,但波动更小,气动性能具有更好的鲁 棒性。

A ROBUST AERODYNAMIC DESIGN FOR AIRFOIL BASED ON RESPONSE SURFACE METHOD

Airfoil geometry stochastic uncertainty has a great effect on aerodynamic performance. The effect of an airfoil geometry uncertain fluctuation on aerodynamic characteristics is discussed and a robust design is performed to reduce this effect. Class-shape function transformation (CST) method is employed, which can greatly reduce the number of design variable freedoms. NACA0012 airfoil is carried out to analyze the probabilistic uncertainty, the result indicate that the tiny fluctuations of the geometry have little effect on the lift characteristics. The paper develops a robust optimization design based on a response surface method and genetic algorithm. The robust design can largely reduce the drag fluctuations and improve computational efficiency. Comparing to deterministic optimization, the robust optimization make the drag increase slightly but the fluctuations decrease largely, the aerodynamic performance have better robustness.