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通过联立求解空气动力学基本方程、飞行动力学运动方程和弹性结构振动方程,在时间域内模拟和分析了大展弦比飞机纵向动力学稳定性问题。结合动网格技术,气动力计算采用基于欧拉方程的计算流体力学方法,结构变形和飞行姿态位置变化统一为模态表示方法,通过松耦合将飞行器姿态稳定性和结构变形稳定性施行了模拟。以某大展弦比机翼飞机为算例,研究了其刚体运动和机翼的弹性振动的相互影响。结果表明:对于具有大展弦比机翼的飞机,其机翼的低阶弹性模态易与飞机飞行中本身的刚体模态发生耦合,从而导致飞机机翼的气动弹性发散以及飞机本身刚体运动稳定性的改变。对于这类飞机,在其气动弹性和飞行稳定性的分析和设计中必须充分考虑到两种运动的相互影响。
By solving the basic aerodynamic equations, the aerodynamic equations of motion and the elastic equations of the elastic structures, the longitudinal stability of large aspect ratio aircraft is simulated and analyzed in the time domain. Combined with the moving grid technique, the computational fluid dynamics method based on the Eulerian equation is used to calculate the aerodynamic force. The deformation of the structure and the position change of the flying attitude are unified as the modal representation method. The attitude stability and structural deformation stability of the aircraft are simulated by the loose coupling . Taking a large aspect ratio wing aircraft as an example, the interaction between rigid body motion and wing elastic vibration is studied. The results show that for aircraft with large aspect ratio wings, the low-order elastic modes of the wings are easily coupled with the rigid body modes of the aircraft during flight, resulting in the aeroelastic divergence of the aircraft wings and the rigid body movement of the aircraft itself Changes in stability. For such aircraft, the interaction between the two motions must be fully taken into account in the analysis and design of aeroelasticity and flight stability.