同伦法在现代飞机尾旋预测中的应用

The Application of Homotopy Method in the Prediction of the Modern Airplane Spin

在利用ＢＡＣＴＭ法对高机动性能飞机尾旋预测中，首先要求解平衡解，为此需要使用静态、强迫振荡天平气动模型和旋转天平气动模型。而在两气动模型转换过程中，常常遇到难找或不能得到平衡解的问题。针对这一问题，利用同伦法对气动模型进行了处理，有效地解决了该问题，同时，结合某战斗机进行了有关尾旋的计算和预测。结果表明，所提出的方法是可靠和切实可行的。

In the predication of spin for the high maneuverable aircraft, in general, the aerodynamic model according to the wind tunnel test getting from static, oscillating balance and rotary balance must be used. But it is always very difficult to find the equilibrium solution when the aerodynamic model is changed from static, oscillating balance to rotary balance. To solve this problem, the homotopy method is used in this paper to predicate the spin of the high maneuverable aircraft and good results are given in the paper.