飞机稳态尾旋平衡点的综合求解方法研究

Comprehensive Method Research of Airplane Steady Spin Equilibrium

为求解飞机稳态尾旋平衡点,推导了飞机稳态尾旋的动力学方程,并针对该方程给出了三种求解方法:作图法、数值求解法以及在前两种方法的基础上所提出的一种综合求解方法。综合求解方法首先使用作图法得出方程的所有近似解,并用稳态尾旋判据判断解是否为稳定解,然后将稳定近似解作为数值求解法的初值进行精确求解。运用综合求解方法对算例飞机进行了稳态尾旋平衡点的计算,算法收敛迅速,结果精确,表明该方法具有很好的工程应用价值。

The dynamical equations of the airplane steady spin were deduced. For solving the equations, three techniques were given. They are graphing method, numerical method and comprehensive method, which is based on the two forementioned techniques. To use the integrative technique, the graphing method was used first to get all the approximate solutions which were fulfill the steady spin criterion. Next the numerical method was used with the approximate solutions as initial values to get more precise solutions. Using the comprehensive method, the steady spin solutions of a plane was found. The arithmetic was converged quickly, the solution was precise and all these indicate that this technique is of great value in practice.