This paper presents the dynamic response of a rotating beam with elastic restraints in forward flight. The motion equations of the system are established by Hamilton’s principle. The structure model is established by Euler-Bernoulli beam theory. The influence of elastic restraints and centrifugal force is considered in the form of potential energy. The aerodynamic model is established by Greenberg theory and considered in the form of an external force. A modified Fourier series method is used to expand the displacement field. The stiffness intervals of boundary springs corresponding to the elastic restraints are determined by natural frequencies. The effects of advance ratios on the dynamic response of the system are studied. Then, the effects of spring stiffness in different directions are compared. The results show that the displacements and velocities of the rotating beam increase with the advance ratio. The displacement amplitudes of the rotating beam increase as the stiffness of boundary springs decrease.

本文介绍了具有弹性约束的旋转梁在向前飞行中的动态响应。根据哈密顿原理建立了系统的运动方程。采用欧拉-伯努利梁理论建立结构模型。弹性约束和离心力的影响以势能的形式考虑。气动模型根据格林伯格理论建立，并以外力的形式考虑。采用改进的傅立叶级数方法来扩展位移场。与弹性约束相对应的边界弹簧的刚度区间由固有频率确定。研究了提前比对系统动态响应的影响。然后，比较不同方向上弹簧刚度的影响。结果表明，旋转梁的位移和速度随着进速比的增加而增大。随着边界弹簧刚度的减小，旋转梁的位移幅值增大。