Bearings are the core components in various kinds of rotating machineries. With the increasing demand of reliable bearings in precision equipment, it is of great significance to analyze the motion error of bearings. In this article, a nonlinear dynamic model of angular contact ball bearings installed in pairs is constructed to describe its response characteristics. The definition of a failure mode in matched bearings is that the dynamic response of each inner race is larger than the allowed axial runout. This article introduces a feasible approach to evaluate the reliability of positioning precision of matched bearings with random geometric parameters. The statistical moments of dynamic response are calculated using stochastic perturbation method. The probability distribution function of state function relating to positioning precision is approached by Edgeworth series, from which the reliability and sensitivity are obtained. A pair of 7206B bearings is taken as an application instance of the proposed method. Monte Carlo simulation is employed to provide a benchmark on which to verify the precision and efficiency of the proposed method. In addition, the effects of mean values and variances of random geometric parameters on the positioning precision are analyzed, respectively.

轴承是各种旋转机械的核心部件。随着精密设备对可靠轴承的需求不断增加，分析轴承的运动误差具有重要意义。在本文中，构造成对安装的角接触球轴承的非线性动力学模型来描述其响应特性。匹配轴承中故障模式的定义是，每个内圈的动力响应都大于允许的轴向跳动。本文介绍了一种可行的方法来评估具有随机几何参数的匹配轴承的定位精度的可靠性。使用随机摄动法计算动态响应的统计矩。利用Edgeworth级数逼近与定位精度相关的状态函数的概率分布函数，从而获得了可靠性和灵敏度。以一对7206B轴承作为该方法的应用实例。蒙特卡罗模拟用于提供基准，以验证所提出方法的精度和效率。此外，分别分析了随机几何参数的平均值和方差对定位精度的影响。