角接触球轴承动力学建模与实验

Dynamic Modeling and Experiment of Angular Contact Ball Bearing

针对轴承装配体结构振动的问题,采用矩阵变换方法分析了双列角接触球轴承接触变形的几何关系,使得分析过程更加简洁和精确,并以此为依据,结合赫兹接触理论和拉格朗日分析力学原理建立了轴承装配体结构5自由度动力学模型;讨论了预紧力、接触角、滚动体位置等对系统固有频率的影响;研制了轴承装配体结构动力学参数测试实验台,实验结果表明,该动力学模型能够较准确地预测结构动态参数,误差在15%以内,满足工程计算的需要。

Considered structure vibration of angular contact ball bearing, the elastic deformation of rolling elements in form of matrix or vector was defined so as to keep structural integrity and get clear notation, in this way, the elastic deformation of every rolling element could be calculated easily. Combining Hertz contact theory and Lagrange mechanics theory, a 5-DOF dynamic model was built. By using this model, the relationship between the frequency of structure and the preload, the contact angle and ball position was discussed. Eexperimental results proved that the error of the dynamic equation was less than 15% , which met the requirement of engineering calculations.