航空学报 > 2001, Vol. 22 Issue (2): 144-147

飞机滚转时惯性耦合运动的分岔分析

许多生, 陆启韶   

  1. 北京航空航天大学理学院,北京100083
  • 收稿日期:1999-11-25 修回日期:2000-02-02 出版日期:2001-04-25 发布日期:2001-04-25

BIFURCATION ANALYSIS OF INERTIA CROSS COUPLING IN AIRCRAFT ROLLING

XU Duo sheng, LU Qi shao   

  1. Dept. of Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China
  • Received:1999-11-25 Revised:2000-02-02 Online:2001-04-25 Published:2001-04-25

摘要:

飞机非线性运动稳定性是非线性飞行动力学的重要组成部分,分岔分析则是非线性动力学系统运动稳定性分析的主要内容。应用中心流形的降维技巧和分岔分析方法,给出了一种快速有效的稳定性研究方法,并对飞机滚转时的惯性耦合运动进行了分岔分析和稳定性分析。本方法简便易行,可以大大减少计算工作量 ,其计算结果也是令人满意的。

关键词: 飞机, 稳定性, 分岔, 滚转耦合

Abstract:

Nonlinear stability of the motion of aircraft is an important part of nonlinear flight dynamics and bifurcation analysis is one of the important contents of the stability analysis of motion of nonlinear dynamic systems. By using the simplifying technique for dimension reduction of center manifold and bifurcation analysis, this paper gives a comparatively fast and effective method for stability study and it also deals with the analysis of bifurcation and stability of inertia cross coupling in aircraft rolling motion. The method presented by the paper not only is of simplicity and feasibility, but also decreases considerably the amount of computation, and the results of computation are satisfactory.

Key words: aircraft, stability, bifurcation, cross coupling

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