吸气式高超声速飞行器本身具有复杂动力学特性,由于存在强烈的结构弹性/推力/气动的耦合以及其力学环境的诸多不确定因素,使得飞行器本身的动态特性相当复杂.经典牛顿力学方法建模难以清楚反映飞行器结构弹性/推力/气动耦合.为更为精确的分析高超声速飞行器复杂的动力学特性,本文针对吸气式高超声速飞行器采用拉格朗日法进行了建模与动态特性分析,选择了具有代表性的特征点,建立了小扰动模型,在不同特征点上采用拉格朗日模型和牛顿力学模型对比分析高超声速飞行器的动力学特性.结果表明,拉格朗日方法所建立的动力学模型能够更清楚地符合高超声速飞行器结构弹性和气动特性耦合以及发动机尾流和气动特性之间的耦合特性.%The strong structural flexibility / thrust / aerodynamic coupling as well as many uncertainties give the air - breathing hypersonic vehicle complicated dynamics. It is difficult for Classical Newtonian mechanics modeling to clearly reflect that complex coupling. In order to realize a more precise analysis of the hypersonic vehicle dynamics, a hypersonic vehicle model was developed based on the Lagrangian method in this paper. Then we analyzed the dynamics of this aircraft model on two selected representative feature points, and small perturbation model was established. What is more, we analyzed the stability of each model. The results show that, compared with Newtonian mechanical method, the model based on the Lagrangian method clearly show the feature of the coupling between the structure elastic and aerodynamic, as well as the coupling between the engine wave dynamics and aerodynamic.
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