基于蒙特卡罗法的飞机结冰后动力学特性分析
Dynamic characteristics analysis after aircraft icing based on Monte Carlo method
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摘要: 综合考虑随机性和不确定性构建了蒙特卡罗飞行仿真实验系统,探讨了蒙特卡罗飞行仿真实验的具体步骤;建立了结冰条件下基于四元数法的飞机本体六自由度运动方程;研究了结冰后人-机-环系统的动态响应,对直观反映结冰后运动状态的飞行参数进行了分析;基于相对速度和迎角超限构建了飞行风险发生的判定条件;量化研究了一维飞参极值样本的统计分布特性,结果表明二组极值样本的峰度系数均大于3,说明二组极值样本均有比正态分布更长的尾部,验证了相对速度极值和迎角极值均具有厚尾分布的特征。Abstract: The Monte Carlo simulation system constructed with random and uncertain factors taken into account.Specific experiment steps are discussed.The flight kinematics equations with six degrees of freedom are set up under the condition of aircraft icing,and the dynamic response of pilot-aircraft-environment system after icing is also studied.The flight parameters that can re-flect aircraft motion states intuitively after icing are analyzed,and the flight risk judgements are given under the condition that the relative velocity and angle of attack exceed the limits.The dis-tribution characteristics of one dimensional extreme flight parameters are calculated.The results show that the kurtosis of the two kinds of extreme samples are both larger than 3 ,that means the two kinds of extreme samples have longer tails than the normal distribution.The fact that both the extreme relative velocity and the extreme angle of attack have heavy tail distribution charac-teristics is verified.