大长径比弹箭飞行中的共振条件研究

从弹簧空间摆动和弹性振动耦合的动力学模型出发，对弹箭飞行过程中的共振不稳定性问题进行了研究。在非动态耦合的情况下，得到了一阶弹性振动的共振频率和共振条件。在考虑动态耦合时，推导了一阶振动模态下的频率方程，建立了用于求解N阶振动模态下共振频率的特征矩阵。

RESONANCE UNSTABILITY IN BALLISTICS OF FLEXIBLE BODY

Based on the coupled dynamic model for the spatial rotation and elastic vibration of a body, the resonance unstability of projectiles in flight is studied in the paper. Without regard to the dynamic uncoupling, the resonance frequencies and resonance conditions of the first order elastic vibration is obtained. And under the consideration of the dynamic uncoupling, the frequency equation with the first order mode is derived, also the characteristic matrix used for solution of resonance frequency with N modes is determined. The results are of great importance to design of projectiles or rockets with large L/D ratio.