基于径向基函数的机翼和翼梢小翼外形优化

Shape Parameter Optimization for Wing and Wingtip Based on RBF

对机翼和翼梢小翼外形参数的优化方法进行了研究。利用径向基函数(RBF)来构建机翼和翼梢小翼的优化模型。在有、无翼根弯矩约束的两种情况下,分别结合序列二次规划法和拟牛顿法优化方法,针对优化目标:机翼诱导阻力最小,优化得到机翼和翼梢小翼的最佳外形参数。实验证明本文优化方法能够取得满意的优化效果,对翼梢小翼的优化设计问题具有一定的参考价值。

An optimum method for the shape parameters of the wing and the wingtip is studied. The opti- mization model of the wing and the wingtip is constructed by radial base function （RBF）. The optimiza- tion object is to obtain minimum of the induced drag for the wing with/without the bending moment con- strain at the wing root, combined with sequence quadratic programming or quasi Newton methods, re- spectively. Results show that optimization effect is satisfied. The research for optimum design problem of the wingtip can provide a reference for engineering application.