Abstract In many technical systems, rolling bearings are critical machine elements concerning accuracy and lifetime. Their load distribution and radial displacement are directly linked to the accuracy and the fatigue life of rolling bearings. However, load distribution and radial displacement form a complex interdependency. Geometric deviations further influence this mutual connection. Although there are several approaches to determine the load distribution and the radial displacement, most of them are either too simplistic, allowing only the consideration of dimensional deviations, or too sophisticated and therefore unsuitable for a statistical evaluation of geometric deviations. Hence, the main purpose of this contribution is to provide a method for the determination of load distribution and radial displacement of cylindrical roller bearings that allows the consideration of geometric deviations as well as statistical evaluation of these deviations. Moreover, applying the method to a use case shows, whether the consideration of geometric deviations in the determination of load distribution and radial displacement is reasonable. The novelty of the contribution is, therefore, the provision of a statistical variational simulation framework for the analysis of load distribution and radial displacement of rolling bearings.

中文翻译：

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圆柱滚子轴承载荷分布和径向位移分析的变分仿真框架

摘要 在许多技术系统中，滚动轴承是关系到精度和寿命的关键机械元件。它们的载荷分布和径向位移直接关系到滚动轴承的精度和疲劳寿命。然而，载荷分布和径向位移形成了复杂的相互依存关系。几何偏差进一步影响这种相互联系。虽然有多种确定载荷分布和径向位移的方法，但大多数方法要么过于简单，只允许考虑尺寸偏差，要么过于复杂，因此不适用于几何偏差的统计评估。因此，此贡献的主要目的是提供一种确定圆柱滚子轴承的载荷分布和径向位移的方法，允许考虑几何偏差以及对这些偏差进行统计评估。此外，将该方法应用于一个用例表明，在确定载荷分布和径向位移时考虑几何偏差是否合理。因此，该贡献的新颖之处在于为滚动轴承的载荷分布和径向位移分析提供了统计变分模拟框架。在确定载荷分布和径向位移时考虑几何偏差是否合理。因此，该贡献的新颖之处在于为滚动轴承的载荷分布和径向位移分析提供了统计变分模拟框架。在确定载荷分布和径向位移时考虑几何偏差是否合理。因此，该贡献的新颖之处在于为滚动轴承的载荷分布和径向位移分析提供了统计变分模拟框架。