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�������պ����ѧѧ�� 2007, Vol. 33 Issue (05) :505-508    DOI:
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��Ծ��, �ֳ�*
�������պ����ѧ ���տ�ѧ�빤��ѧԺ, ���� 100083
Improvement of dual-Euler method for full scale Eulerian angles solution of aircraft
Li Yuejun, Yan Chao*
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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Abstract�� 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.
Keywords�� dual-Euler method   full scale   solving of attitude   Eulerian angles     
Received 2006-06-12;
About author: ��Ծ��(1979-),��,����������,��ʿ��,liyuejun@ase.buaa.edu.cn.
��Ծ��, �ֳ�.��������̬�ǽ����ȫ�Ƕ�˫ŷ��[J]  �������պ����ѧѧ��, 2007,V33(05): 505-508
Li Yuejun, Yan Chao.Improvement of dual-Euler method for full scale Eulerian angles solution of aircraft[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2007,V33(05): 505-508
http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2007/V33/I05/505
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