飞行器姿态角解算的全角度双欧法

为了实现飞行器超机动飞行情况下姿态角的连续解算,将传统双欧法进行了改进.通过引入判别函数使得数值模拟过程中正反欧拉角能一一对应,克服了欧拉方程的奇异性,消除了传统双欧法须限定俯仰为 的限制,从而将正反欧拉角取值范围扩展到了全角度,实现了飞行器的任意姿态角连续解算.采用改进的双欧法数值模拟了飞机斤斗飞行动作,时间积分采用了变步长龙格库塔方法,结果表明该方法简单有效,能得到连续的高精度解.

Improvement of dual-Euler method for full scale Eulerian angles solution of aircraft

To overcome the shortcoming of the original dual-Euler method, i.e., it presumes that the range of pitching angle was limited to and it can-t be used for continuous solution of super-maneuvering flight when the pitching angle was beyond this limited range, improvement was made to solve Eulerian angles for full scale continuously by introducing a discriminant function that can obtain the only one corresponding solution for both positive Eulerian system and negative Eulerian system. To validate the new method, a simple model of super-maneuvering was numerically simulated with the improved Dual-Euler method, and R-K algorithm with variant time steps was used for time integration. Results showed that the numerical solution was in perferct agreement with the theoretical solution.