This paper investigates a method to dynamically model compound faults on the inner and outer rings of an angular contact ball bearing as well as their effects on its dynamic behavior. Gupta’s dynamic modeling method is used to consider changes in the deformation and direction of the contact load when the ball passes through the damaged area and to develop a dynamic model of compound faults in the angular contact ball bearing. The step-changing fourth-order Runge–Kutta method is used to solve the dynamic compound fault model. The time-domain signal of vibration responses in the case of a single fault in the inner and outer rings exhibited a certain periodicity, and the frequency of faults in the envelope spectrum was clear. By comparison, the periodicity of compound faults was not clear. The signals of compound faults were decomposed by the dual-tree complex wavelet transform to identify their characteristic frequency. Errors occurred between the characteristic frequency of the theoretical fault and its simulated value. They increased with the rotational speed and decreased with an increase in axial load, whereas the influence of radial load on them was minor. For compound faults on the inner and outer rings of an angular contact ball bearing, this study provides a modeling method that can describe changes in the deformation and direction of the contact load when the ball passes through the damaged area of the inner and outer rings. The work here can provide an important foundation for fault identification in angular contact ball bearings.

中文翻译：

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内外圈复合故障角接触球轴承振动机理分析

本文研究了一种动态模拟角接触球轴承内外圈复合故障的方法及其对其动态行为的影响。Gupta 的动态建模方法用于考虑滚珠通过损坏区域时接触载荷的变形和方向的变化，并开发角接触球轴承中复合故障的动态模型。采用阶跃四阶Runge-Kutta方法求解动态复合故障模型。内外环单一故障时的振动响应时域信号表现出一定的周期性，包络谱中故障频率清晰。相比之下，复合断层的周期性并不明确。通过双树复小波变换对复合故障信号进行分解，识别其特征频率。理论故障的特征频率与其模拟值之间存在误差。它们随着转速的增加而增加，随着轴向载荷的增加而减小，而径向载荷对它们的影响很小。针对角接触球轴承内外圈的复合故障，本研究提供了一种建模方法，可以描述当球通过内外圈损坏区域时接触载荷的变形和方向的变化。这里的工作可以为角接触球轴承的故障识别提供重要的基础。理论故障的特征频率与其模拟值之间存在误差。它们随着转速的增加而增加，随着轴向载荷的增加而减小，而径向载荷对它们的影响很小。针对角接触球轴承内外圈的复合故障，本研究提供了一种建模方法，可以描述当球通过内外圈损坏区域时接触载荷的变形和方向的变化。这里的工作可以为角接触球轴承的故障识别提供重要的基础。理论故障的特征频率与其模拟值之间存在误差。它们随着转速的增加而增加，随着轴向载荷的增加而减小，而径向载荷对它们的影响很小。针对角接触球轴承内外圈的复合故障，本研究提供了一种建模方法，可以描述当球通过内外圈损坏区域时接触载荷的变形和方向的变化。这里的工作可以为角接触球轴承的故障识别提供重要的基础。针对角接触球轴承内外圈的复合故障，本研究提供了一种建模方法，可以描述当球通过内外圈损坏区域时接触载荷的变形和方向的变化。这里的工作可以为角接触球轴承的故障识别提供重要的基础。针对角接触球轴承内外圈的复合故障，本研究提供了一种建模方法，可以描述当球通过内外圈损坏区域时接触载荷的变形和方向的变化。这里的工作可以为角接触球轴承的故障识别提供重要的基础。