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国外文献 > 1.轴承 > 1. 基础理论与机制 > 动力学与稳定性

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标 题： A Discrete Element Approach for Modeling Cage Flexibility in Ball Bearing Dynamics Simulations
用于球轴承动力学模拟中笼架柔性的离散元方法
作 者： Nick Weinzapfel
Farshid Sadeghi
关键词： Ball bearings  [滚珠轴承]
Dynamics  [ 动力学]
Flexible cage  [ 柔性笼架]
Discrete element method  [ 离散元法]
出版年： 2009
期刊名： Journal of Tribology
摩擦学杂志
年卷期： 2009, vol.131, no.2
摘 要： A model for deep-groove and angular-contact ball bearings was developed to investigate the influence of a flexible cage on bearing dynamics. The cage model introduces flexibility by representing the cage as an ensemble of discrete elements that allow deformation of the fibers connecting the elements. A finite element model of the cage was developed to establish the relationships between the nominal cage properties and those used in the flexible discrete element model. In this investigation, the raceways and balls have six degrees of freedom. The discrete elements comprising the cage each have three degrees of freedom in a cage reference frame. The cage reference frame has five degrees of freedom, enabling three-dimensional motion of the cage ensemble. Newton's laws are used to determine the accelerations of the bearing components, and a fourth-order Runge-Kutta algorithm with constant step size is used to integrate their equations of motion. Comparing results from the dynamic bearing model with flexible and rigid cages reveals the effects of cage flexibility on bearing performance. The cage experiences nearly the same motion and angular velocity in the loading conditions investigated regardless of the cage type. However, a significant reduction in ball-cage pocket forces occurs as a result of modeling the cage as a flexible body. Inclusion of cage flexibility in the model also reduces the time required for the bearing to reach steady-state operation.

为研究柔性保持架对轴承动态的影响，开发了一种深沟球轴承和角接触球轴承的模型。该保持架模型通过将保持架表示为一组离散元件，并允许连接这些元件的纤维发生变形，从而引入了柔性特性。同时建立了保持架的有限元模型，以确定名义保持架性能与柔性离散元素模型中所用参数之间的关系。在本研究中，滚道和滚珠具有六个自由度，而保持架中的每个离散元件在保持架参考坐标系下具有三个自由度。保持架参考坐标系本身有五个自由度，使得保持架整体能够实现三维运动。采用牛顿定律计算轴承各部件的加速度，并使用常步长四阶龙格-库塔算法求解其运动方程。通过比较柔性保持架与刚性保持架下动态轴承模型的结果，揭示了保持架柔性对轴承性能的影响。在所研究的载荷条件下，无论笼型如何，笼体的运动和角速度几乎相同。然而，将笼体建模为柔性体后，球笼腔体的受力显著减小。模型中加入笼体柔韧性还能缩短轴承达到稳态运行所需的时间。
中文内容为网络AI翻译，专业术语未必准确，仅供参考。

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