Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway of Cageless Bearing
Abstract
:1. Introduction
2. Motion and Contact State of the Rolling Element
3. Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway
4. Numerical Analysis of the Contact Characteristics
4.1. Numerical Analysis of Contact Stress
4.2. Numerical Analysis of Stress Distribution in Contact Area
5. Experiment on Contact Characteristics of Cageless Bearing
6. Conclusions
- A new method for calculating the stress of three-dimensional nonconforming rolling contact between rolling elements and the variable diameter raceway was developed. The equations for analyzing the stress components were established. It was determined that the variable diameter raceway structure, spindle speed, friction coefficient and stick-slip coefficient are the main influencing factors of stress distribution. In addition, it was determined that the contact area is composed of two parts: the stick region and the slip region, the stress mutation often occurs at the boundary. The error of the new method for calculating is less than 15%. The correctness of the calculation method and the accuracy of the three-dimensional stress distribution model are verified, which can predict and characterize the contact stress distribution between the rolling elements and the variable diameter raceway.
- As the radius of the curvature ri increases, the contact stress distribution gradually changes from the downward curve of the opening to the upward curve of the opening. When Ri = 25.19 mm and ri = 1.5 mm, the contact stress in the conventional raceway and the variable diameter raceway is equal. As the spindle speed increases, the maximum stress of stress distribution occurs in the reducer raceway. Therefore, the larger ri should be selected in the design of the variable diameter raceway. It is recommended that the rotation speed below 13,950 r/min is beneficial to reduce the stress impact during the process of rolling elements passing through the variable diameter raceway.
- With the decrease in the friction coefficient µ and the increase in the stick-slip coefficient k, the stress mutation on the contact area of the rolling elements and variable diameter raceway reduces, which reduces the wear between the rolling element and variable diameter raceway. From the point of view of the discrete action, reducing µ and increasing the stick-slip coefficient k appropriately is beneficial to increase the service life of the variable diameter raceway.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Parameter | Numerical | Parameter | Numerical |
---|---|---|---|
Inner diameter | 30 mm | X load | 0 N |
Outer diameter | 62 mm | Y load | 500 N |
Inner raceway diameter | 36.48 mm | Rolling element density | 3.18 g/cm3 |
Outer raceway diameter | 55.53 mm | Bearing ring density | 7.81 g/cm3 |
Ball diameter | 9.525 mm | Rolling element Poisson’s ratio | 0.26 |
Inner raceway radius of curvature | 4.905 mm | Bearing ring Poisson’s ratio | 0.3 |
Outer raceway radius of curvature | 4.953 mm | Speed | 6 K–18 K RPM |
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Wang, Q.; Zhao, Y.; Wang, M. Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway of Cageless Bearing. Appl. Sci. 2022, 12, 5764. https://doi.org/10.3390/app12125764
Wang Q, Zhao Y, Wang M. Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway of Cageless Bearing. Applied Sciences. 2022; 12(12):5764. https://doi.org/10.3390/app12125764
Chicago/Turabian StyleWang, Qiyu, Yanling Zhao, and Mingzhu Wang. 2022. "Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway of Cageless Bearing" Applied Sciences 12, no. 12: 5764. https://doi.org/10.3390/app12125764
APA StyleWang, Q., Zhao, Y., & Wang, M. (2022). Analysis of Contact Stress Distribution between Rolling Element and Variable Diameter Raceway of Cageless Bearing. Applied Sciences, 12(12), 5764. https://doi.org/10.3390/app12125764