细长弹箭气动弹性稳定性研究

摘要

本文从弹箭空间摆动和弹性振动耦合的动力学模型出发，利用拉普拉斯变换方程对飞行弹箭的气动弹性稳定性进行了研究。在一阶振动模态情况下得到了气动弹性的静态稳定性条件，并根据胡尔威茨判别法，推导出了动态稳定性条件和确定了动态稳定区域图的形式。%Based on the coupled dynamic model for the spatial rotation and elastic vibration of a body, the aeroelastic stability of rockets in flight is studied by Laplace transform equations. Under the consideration of a first-order vibration mode, the static aeroelastic stability condition is obtained. According to the Hurwitz discriminance of stability, the dynamic stability conditions are derived and the diagram of dynamic stability is determined. The results are of great importance to the design of projectiles or rockets having large L/D ratios.