Vibration characteristics analysis of rolling bearing based on sliding non-ideal Hertz contact

Traditional methods for analyzing vibration characteristics of rolling bearing are mostly based on ideal Hertz contact theory. However, when bearing has slip, rolling element and raceway can have slip. Therefore, the sliding contact problem between rolling element and raceway is beyond hypothesis of Hertz theory. Here, to solve this problem, sliding non-ideal Hertz contact between rolling element and inner and outer raceways was proposed. The load-deformation formula and deformation coefficient were obtained through theoretical analysis and contact finite element model. Based on the sliding non-ideal Hertz contact theory, the dynamic model of cylindrical roller bearing was established, and effects of Hertz model and sliding contact on vibration characteristics of rolling bearing were analyzed. The study showed that vibration signal of rolling hearing has hysteresis phenomenon under sliding contact; under the condition of low speed, bearing vibration level is higher than that under Hertz contact, while under the condition of high speed, bearing vibration level is lower; meanwhile, compared with Hertz theory, the sliding non-ideal Hertz theory further considers effects of relative sliding between contact surfaces, so the latter is closer to actual working condition of rolling bearing. © 2023 Chinese Vibration Engineering Society. All rights reserved.