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旋转圆环平面外振动的行波法研究
引用本文:何虹,黄迪山. 旋转圆环平面外振动的行波法研究[J]. 动力学与控制学报, 2015, 13(6): 430-435
作者姓名:何虹  黄迪山
作者单位:上海大学机电工程与自动化学院,上海 200072,上海大学机电工程与自动化学院,上海 200072
基金项目:上海市产学研合作计划(沪CXY-2013-22)
摘    要: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.

关 键 词:平面外振动  旋转圆环  行波法  波数
收稿时间:2014-09-15
修稿时间:2014-10-20

Out-of-plane vibration analysis of a rotating thin ring by wave propagation
He Hong and Huang Dishan. Out-of-plane vibration analysis of a rotating thin ring by wave propagation[J]. Journal of Dynamics and Control, 2015, 13(6): 430-435
Authors:He Hong and Huang Dishan
Abstract: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.
Keywords:out-of-plane vibration  rotating thin ring  wave propagation  wave number
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