Volume 33 Issue 05
May  2007
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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 Astronautics, 2007, 33(05): 505-508. (in Chinese)
Citation: 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 Astronautics, 2007, 33(05): 505-508. (in Chinese)

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

  • Received Date: 12 Jun 2006
  • Publish Date: 31 May 2007
  • 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.

     

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