克服欧拉方程奇异性的双欧法  

THE DUAL EULER METHOD FOR OVERCOMING THE SINGULARITY OF EULER EQUATION

作　　者：黄雪樵 

出　　处：《飞行力学》1994年第4期28-37,共10页Flight Dynamics

摘　　要：论述一种解算飞机姿态角的新方法。它利用正、反欧拉方程间精华区倒挂关系进行分区接替运算，充分发挥二者的长处，把精华区扩展到全域，消除了奇异区，比其地方法具有解算准确、使用简便的显著优点。飞行仿真实践表明它根除了奇异性，是理想的全姿态方程。其原理对其他工程和物理领域都有广泛推广应用价值。This paper describes a new method for solving attitude angles of the air-craft.The method is based on the inverse relationship of singularity between the ordi-nary and the reversed Euler equations.It utilize these essence areas with separating thearea and alternating calculation,the essential area is expanded to the whole area and sin-gular area can be eliminated.The dual Euler method possesses remarkable advantageof solving exactly and convenience in application。 The testing results of flight simulationshow which fully overcomes singularity,and is an ideal all attitude equation.Its princi-ples are valuable for wide spread applicable to other engineering and physical areas.

关 键 词：双欧法 欧拉方程 奇异性 单欧法 飞机姿态角 

分 类 号：V212.1[航空宇航科学与技术—航空宇航推进理论与工程]