Dynamic Modeling of Rolling Bearings under Dynamic Contact Conditions

Haoran Cao

doi:10.54254/2755-2721/2025.GL24473

Applied and Computational EngineeringOpen access

Dynamic Modeling of Rolling Bearings under Dynamic Contact Conditions

Research Article

Open Access

Dynamic Modeling of Rolling Bearings under Dynamic Contact Conditions

Haoran Cao ^1*

¹ Sichuan University, Chengdu, Sichuan, 610065, China

^*Corresponding author: 2022141410182@stu.scu.edu.cn

Published on 4 July 2025

ACE Vol.172

ISSN (Print): 2755-273X

ISSN (Online): 2755-2721

ISBN (Print): 978-1-80590-221-8

ISBN (Online): 978-1-80590-222-5

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Abstract

This research investigates the dynamic characteristics of rolling bearings under time-varying contact conditions, proposing a dynamic contact model integrating periodic damping and stiffness variations. Leveraging Hertz contact theory, the static stiffness formulation between rolling elements and raceways is derived and extended to a time-dependent stiffness framework. Combined with the fault excitation model of the local defect of the rolling bearing, a 2-degree-of-freedom dynamic equation including dynamic damping, variable stiffness and fault additional displacement was constructed. The motion equations were solved by the Runge-Kutta method, and the vibration responses of defect-free and defective bearings under static and dynamic contact conditions were compared and analyzed. The results show that the dynamic model can more accurately reflect the fluctuation characteristics of vibration displacement and acceleration; With defects included, the amplitude of vibration acceleration increased significantly to 150 m/s², verifying the effectiveness of the acceleration sensor in bearing health monitoring. This study provides theoretical support for dynamic characteristic analysis and fault diagnosis of rolling bearings.

Keywords:

Rolling bearings, Dynamic contact, Dynamic model, Vibration

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