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| Dynamic analysis of an equivalent time-varying stiffness system for local faults of rolling bearing |
| GUO Baoliang1, ZHAO Yuxiu2, SHI Lichen1, LI Ling1, DUAN Zhishan1 |
| 1.School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;
2.Library of Xi’an Siyuan University, Xi’an 710038, China |
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Abstract In response to the dynamic modeling problem of local faults in rolling bearings, by analyzing the changes of each rolling element when entering, exiting the load zone and falling into the fault position, based on Hertz contact theory, the contact deformation retention factor is defined, the equivalent time-varying stiffness function of rolling bearings is proposed, and a single degree of freedom with time-varying stiffness dynamic model of local fault rolling bearings is established. Theoretical analysis and experimental research are conducted. The research results indicate that when the rolling element enters or exits the load zone, the number of load-carrying rolling elements in the load zone increases or decreases, causing a small increase or decrease in the equivalent time-varying stiffness of the system; when the rolling element falls into the fault position, the effective contact stiffness decreases to different degrees due to different contact deformation retention factors, which leads to a decrease in the equivalent time-varying stiffness of the system. The change of the equivalent time-varying stiffness of the system causes the contact deformation and contact force of other rolling elements in the load zone to change in different magnitudes, thus balancing the external radial load. The impact on the rolling elements near the center of the load zone is more obvious, but it does not affect the effective contact stiffness of each rolling element. An abrupt change in the equivalent time-varying stiffness of the system occurs, leading to system vibration. When the outer ring fails, the equivalent time-varying stiffness varies equally. When the inner ring malfunctions, the change in equivalent time-varying stiffness is modulated by the rotation of the inner ring and the amplitude is different. The proposed single degree of freedom time-varying stiffness dynamic model is more in line with reality.
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Received: 17 April 2023
Published: 15 May 2024
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