飞机大迎角滚转运动频率域建模与稳定性分析

Unsteady Aerodynamics Modeling of a Rolling Aircraft at High Angle of Attack and Analysis of Stability

本文运用频率域建模法 ,分别建立了飞机大迎角滚转运动的Fourier变换模型及非线性代数模型 ,并从数学模型中提取动导数。基于非线性非定常数学模型与局部线化的动导数数学模型 ,计算了飞机滚转运动的稳定性 ,并运用李雅普诺夫稳定性分析理论 ,进行飞机滚转运动稳定性分析。结果表明 ,大振幅非定常滚转运动实验可以用于飞机绕体轴滚转运动的稳定性分析。从大振幅实验数据提取的动导数 ,基本反映了飞机的非定常气动力特性。通过李雅普诺夫稳定性理论分析 ,明确了迟滞环的物理意义。

The method of modeling in frequency domain is used to establish the Fourier model and nonlinear algebra model of a rolling aircraft model at high angle of attack. The general dynamic derivatives are extracted from these mathematical models. Based on the nonlinear mathematical models and the linear dynamic derivative models, the stability of the rolling aircraft is studied. The theory of ЛЯⅡУНОБ stability is also used to analyze the stability of the rolling aircraft. It is shown that the large amplitude rolling experiment can be used to analyze the stability of the rolling aircraft. The dynamic derivatives extracted from the large amplitude rolling experiment basically represent the unsteady aerodynamic characteristics. The meaning of time lag loop can be understood by using the theory of ЛЯⅡУНОБ stability.