飞机大迎角纵向机动稳定性及通向混沌的道路

摘要

基于非线性动力学理论，分析了飞机大迎角纵向机动的稳定性及混沌行为。根据纵向机动的动力学模型，分析了飞机在大迎角状态下的飞行稳定性，通过 Lyapunov 稳定性原理，给出了不同参数匹配条件下飞机的纵向机动稳定域；以升降舵偏角和质量为系统参数，利用Melnik-ov方法，研究了飞机纵向机动的混沌运动，得到通向混沌的道路；通过数值仿真得出不同条件下的飞机纵向运动的Lyapunov指数，分析实验结果并对理论推演进行了验证。结果表明：大攻角机动情况下，飞机极易进入混沌状态，造成飞行不稳定甚至导致飞行事故。%Based on nonlinear dynamics theory,this paper analyzes the stable field and roads led to chaos of aircraft vertical maneuvering at high angles of attack,analyzes flight stability of aircraft at the high angle state and puts forward the stable field of vertical maneuvering under various matching parameter on the ba-sis of aircraft vertical maneuvering equation.Regarding rudder angle and quality as variable parameters, the chaos movement is analyzed by developing the heteroclinic orbit based on Melnikov method.This pro-vides a theory foundation for the control of aircraft vertical maneuvering at high angles of attack under va-rious conditions.