中文摘要：

为了研究超空泡射弹的尾拍振动特性，利用刚一柔耦合动力学方法，得到弹体横向振动的基频和一阶模态；并通过模拟计算，分析了弹体横向振动基频和模态与弹体转速、长细比、材料特性的关系．计算结果表明：弹体频率和模态随转速而变化；弹体的长细比的增加和材料特性的改变，使频率和模态随转速的变化更加显著；当长细比较小或者角速度小于50rad／s时，可以忽略耦合作用对振动的影响，频率可采用固有频率；当角速度小于100rad／s时，可采用弹体的固有模态．

英文摘要：

To study the vibration characteristics of supercavitating projectiles under tail-slapping conditions, the fundamental frequency and the first principal mode shape of the transverse vibration of projectiles were presented, based on the dynamics of coupling system for rigid and elastic motions. By simulations, the influences of rotational speed, slenderness ratio and material characteristics on frequency and the mode shape of vibration were investigated. The results show that the frequency and the mode shape vary with the rotational speed, and the increase of the slenderness ratio and the material characteristic parameter could accelerate these variations. For the small slenderness ratio or the rotational speed is less than 50 rad/s, the influence of coupled motions can be disregarded and the natural frequency can be used as the frequency of vibration, and the natural mode shape also can be used when the rotational speed is less than 100 rad/s.