旋转圆环平面外振动的行波法研究

OUT-OF-PLANE VIBRATION ANALYSIS OF A ROTATING THIN RING BY WAVE PROPAGATION

以高速球轴承保持架为应用对象,针对旋转薄壁圆环的平面外振动问题,开展弹性波传播的基本特性研究,分析平面外波动的色散方程、波数、截止频率、相速度以及位移耦合系数.基于行波动力学方法,根据波动正向传递的判据,将正负行波的波数进行分离.结合相位封闭原理和波传递矩阵,建立旋转圆环的频率特征方程.文中算例给出了旋转薄壁圆环平面外振动的固有频率,对其计算结果与文献结果作了比较,验证了计算方法的准确性.

To solve the dynamic problem for the out-of-plane vibrations of a rotating thin ring, this paper studied the basic transmission characteristics of elastic wave propagation, and analyzed the dispersion equation, wave numbers, cut-off frequencies, phase velocity and the ratio of axial vibration displacement to torsional vibration displacement, which is valuable in the free vibration analysis of the solid cage in a high speed roller bearing. Based on the wave propagation method, the positive and negative wave numbers were separated by the criterion of positive-going waves. The characteristic equation of a rotating thin ring was established by the phase-closed principle and the transfer matrices. One example was given to solve the natural frequencies of the rotating ring, and the result is consistent with the result of the given literature.