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大展弦比无尾飞翼布局飞机的结构振动往往与刚体运动耦合在一起,而传统的刚体模型不能反映飞机的结构弹性变形。现有研究多采用基于有限元法建立的模型,变量物理意义不明确,不利于控制系统设计。文章采用两根固定于质心的悬臂梁表征飞机的结构振动特性,基于Lagrange方程,为弹性飞翼飞机建立了刚/弹性耦合的纵向运动方程,并在配平点将模型线性化,通过分析系统的特征结构,验证了结构振动与刚体运动之间的耦合关系。所建立的模型能较真实地描述弹性飞翼飞机的运动,变量物理意义明确,便于控制系统设计。
Large aspect ratio tailless wing layout The structural vibration of the aircraft is often coupled with the rigid body motion, while the traditional rigid body model can not reflect the structural flexibility of the aircraft. The existing research mostly adopts the model based on the finite element method. The physical meaning of the variable is not clear, which is not conducive to the control system design. In this paper, two cantilever beams fixed on the center of mass are used to characterize the structural vibration of the aircraft. Based on the Lagrange equation, a rigid / elastic coupling longitudinal motion equation is established for the elastic flying wing aircraft. The model is linearized at the leveling point. Characteristic structure, and verified the coupling relationship between structural vibration and rigid body motion. The established model can describe the movement of the flexible flying-wing aircraft in a more realistic way. The physical meaning of the variable is clear and it is easy to control the system design.