Moment method-based reliability analysis of random vibration in rolling bearings under insufficient probability information

In the reliability design process for random vibration in rolling bearings, the probability information of random variables is frequently insufficient, resulting in an inability to accurately calculate the reliability of random vibration in rolling bearings. This article considers the full coupling effects of elastic contact and lubrication to describe the vibration response more accurately. A five-degree-of-freedom vibration model for rolling bearings under combined loading is developed using the principle of virtual work. Furthermore, by accounting for the randomness of bearing mass, damping, and stiffness parameters, with response amplitude as the criterion for bearing random vibration failure, a limit state function for the reliability model of bearing vibration failure is derived by the stress-strength interference model. The fourth-moment method is then used to evaluate both transient and average cumulative reliability of random vibrations in rolling bearings. Finally, the research method is applied to analyze the reliability of the angular contact ball bearing 7218. The computational results of the fourth-moment method demonstrate excellent agreement with those obtained from the second-moment method, which demonstrates the accuracy and effectiveness of the proposed method.