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针对柔性翼飞行器柔性机翼弹性运动与飞行器刚体运动具有强耦合特性,基于拉格朗日方程,建立了柔性翼飞行器动力学模型.在特征点处对动力学模型进行小扰动线性化处理,并联立非定常气动力模型,得到了状态空间形式的纵向线性运动方程.分析了机翼结构刚度对飞行器纵向稳定性的影响以及飞行器的模态耦合动态特性.研究结果表明,柔性翼飞行器的弹性自由度会对飞行器的短周期模态造成较大影响.随着飞行速度的提高,短周期模态频率增加而1阶弯曲弹性模态频率降低,当两者频率趋向一致时,飞行器会发生体自由度颤振,体自由度颤振速度要明显低于基于悬臂梁机翼模型计算得到的颤振速度.
Aiming at the strong coupling characteristic between flexible wing flexible wing and flexible body, the dynamic model of flexible wing aircraft is established based on Lagrange equation.A small perturbation linearization is performed on the dynamic model at the characteristic point and parallel The vertical and linear equations of motion in the form of state space are obtained, and the influence of the stiffness of the wing structure on the longitudinal stability of the aircraft and the modal coupling dynamic characteristics of the aircraft are analyzed. The results show that the flexibility of the flexible wing vehicle Degree will have a greater impact on the short-period mode of the aircraft.As the flight speed increases, the short-period modal frequency increases and the first-order flexural elastic mode frequency decreases, and when the two frequencies tend to coincide, the aircraft will produce body freedom Degree of chatter, body degree of freedom flutter speed is significantly lower than the flutter speed calculated based on the cantilever wing model.