中文摘要：

为对超空泡航行体结构进行优化设计和安全评估，将其简化为两端自由的梁，在空泡形态和受力确定的基础上，利用哈密顿原理，推导出了运动和变形耦合动力学方程组，建立了有限元模型。利用模态法和纽马克法对横向振动方程进行了求解，并对耦合、无耦合的方程进行了定性定量的比较分析。结果表明：耦合转动角速度增加了高频的波动；由于航行体自身刚度和固有频率较大，转动对它们的响应影响较小。

英文摘要：

A supercavitating vehicle is thought of as a beam of free boundary conditions .According to the shape and force of cavity and Hamilton′s principle , the rigid-flexible coupling equations are a-chieved and a finite element model is established .The model can be used for the general flexible beam with axial forces .The modal method and Newmark method are used to solve the equation of trans-verse oscillation and make qualitative and quantitative analyses of the coupling and uncoupling equa-tions .The results show that the coupling angular velocity vibrates with high frequencies .As the stiff-ness and natural frequency of an underwater vehicle is relative high ,the rotation has a minor effect on its dynamic response .