基于拉格朗日力学原理建立了吸气式高超声速飞行器(AHFV)的动力学模型,并分稳定飞行和机动飞行2种情况进行了动力学分析。首先选择确定飞行器位姿的广义坐标,然后建立动能、势能以及广义力的表达,接着推导了AHFV的质心运动方程和绕质心转动运动方程。与传统飞行器动力学模型相比较,AHFV动力学模型中包括了发动机内流体质量变化对飞行器动力学的影响项。最后对AHFV动力学模型进行分析,分析表明:在稳定飞行时,AHFV发动机内流体质量变化对飞行器动力学的影响项可以忽略,而在机动飞行时,要考虑发动机内流体质量变化对飞行器动力学的影响。
Aim.In our opinion,existing dynamic models in the open literature are lacking in precision under certain conditions.We now propose what we believe to be a precise dynamic model.Section 1 of the full paper establishes our precise dynamic model.FFx,FFy and FFz in eqs.(19a),(19b) and(19c) respectively are three terms not found in existing models;MFx,MFy,and MFz in eqs.(23a),(23b) and(23c) respectively are another three terms not found in existing models.These six terms reflect the effect caused by the change of fluid mass.On the basis of our precise dynamic model,section 2 performs the dynamic analysis,which shows preliminarily that the above-mentioned six terms can be ignored for stable flight but they cannot be ignored for maneuvering flight.