Abstract It is well known that the dynamic response of the rolling bearing would change especially in the acceleration vibration signal when the defects occur. To accurately simulate the dynamic response of a high-speed rolling bearing with a localized surface defect, we propose a new dynamic model for the faulty rolling bearing. The proposed model considers not only the high-speed effect of the rolling element, such as centrifugal force and gyroscopic moment, but also the degrees of freedom (DOFs) of all movable components, including five-DOF inner raceway, three-DOF balls and three-DOF the cage. Then the fourth order Runge-Kutta algorithm is used to solve the nonlinear differential equations of the model for obtaining the dynamic response of the bearing. Under different radial forces, rotational speeds and defect sizes, the acceleration vibration response of inner raceway and the motion of cage considering the effect of the localized surface defect are respectively analyzed. Finally, the correctness and effectiveness of the proposed model are proved by the measured signals of the faulty aero-engine spindle bearings.

中文翻译：

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具有局部表面缺陷的滚动轴承多自由度动力学模型

摘要 众所周知，当出现缺陷时，滚动轴承的动态响应会发生变化，尤其是加速度振动信号。为了准确模拟具有局部表面缺陷的高速滚动轴承的动态响应，我们提出了一种新的故障滚动轴承动态模型。所提出的模型不仅考虑了滚动体的高速效应，如离心力和陀螺力矩，而且还考虑了所有可移动部件的自由度（DOF），包括五自由度内滚道、三自由度滚珠和三自由度的笼子。然后采用四阶Runge-Kutta算法求解模型的非线性微分方程，得到轴承的动态响应。在不同的径向力、转速和缺陷尺寸下，分别分析了考虑局部表面缺陷影响的内滚道加速度振动响应和保持架运动。最后，通过故障航空发动机主轴轴承的实测信号证明了该模型的正确性和有效性。