Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory
In the modeling and simulation of bearing dynamics, the roundness profile and surface roughness of the raceway is critical for ensuring the precision of the simulation results. This study proposes methods for modeling bearing raceway roundness profiles and surface roughness. The research begins with...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S259012302500547X |
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| author | Long He Fan Yang Zhaorong Li Jianping Yan Diwang Ruan |
| author_facet | Long He Fan Yang Zhaorong Li Jianping Yan Diwang Ruan |
| author_sort | Long He |
| collection | DOAJ |
| description | In the modeling and simulation of bearing dynamics, the roundness profile and surface roughness of the raceway is critical for ensuring the precision of the simulation results. This study proposes methods for modeling bearing raceway roundness profiles and surface roughness. The research begins with a quantitative measurement of 200 sets of new and worn bearing raceways using a roundness meter. The reliability of the roundness data is evaluated using relative entropy to assess measurement uncertainty. Following this, two approaches are introduced: roughness modeling based on fractal theory and roundness modeling based on the Fourier series. The high similarity of profiles and R-squared values demonstrate the effectiveness of these methods. Additionally, the effects of factors such as the outer and inner raceways and the condition of new versus worn bearings on roundness data are analyzed. Given the stability and reliability of the measurement data, the roundness model based on the Fourier series and the fractal dimension are adequate for evaluating the wear degree of the bearing raceway and the complexity of the roundness profile, respectively. |
| format | Article |
| id | doaj-art-89991fb3db924aeeae53aa5c6e00bf9e |
| institution | DOAJ |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-89991fb3db924aeeae53aa5c6e00bf9e2025-08-20T02:47:21ZengElsevierResults in Engineering2590-12302025-03-012510446910.1016/j.rineng.2025.104469Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theoryLong He0Fan Yang1Zhaorong Li2Jianping Yan3Diwang Ruan4AECC Sichuan Gas Turbine Establishment, ChinaAECC Sichuan Gas Turbine Establishment, ChinaSchool of Aeronautics and Astronautics, Zhejiang University, Hangzhou, 310027, ChinaSchool of Aeronautics and Astronautics, Zhejiang University, Hangzhou, 310027, ChinaSchool of Aeronautics and Astronautics, Zhejiang University, Hangzhou, 310027, China; Chair of Electronic Measurement and Diagnostic Technology, TU Berlin, Berlin, 10587, Germany; Corresponding author.In the modeling and simulation of bearing dynamics, the roundness profile and surface roughness of the raceway is critical for ensuring the precision of the simulation results. This study proposes methods for modeling bearing raceway roundness profiles and surface roughness. The research begins with a quantitative measurement of 200 sets of new and worn bearing raceways using a roundness meter. The reliability of the roundness data is evaluated using relative entropy to assess measurement uncertainty. Following this, two approaches are introduced: roughness modeling based on fractal theory and roundness modeling based on the Fourier series. The high similarity of profiles and R-squared values demonstrate the effectiveness of these methods. Additionally, the effects of factors such as the outer and inner raceways and the condition of new versus worn bearings on roundness data are analyzed. Given the stability and reliability of the measurement data, the roundness model based on the Fourier series and the fractal dimension are adequate for evaluating the wear degree of the bearing raceway and the complexity of the roundness profile, respectively.http://www.sciencedirect.com/science/article/pii/S259012302500547XRoughness modelingRoundness modelingBearing racewayFractal theoryFourier series |
| spellingShingle | Long He Fan Yang Zhaorong Li Jianping Yan Diwang Ruan Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory Results in Engineering Roughness modeling Roundness modeling Bearing raceway Fractal theory Fourier series |
| title | Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory |
| title_full | Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory |
| title_fullStr | Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory |
| title_full_unstemmed | Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory |
| title_short | Modeling of the race roundness and roughness for ball bearing based on Fourier series and fractal theory |
| title_sort | modeling of the race roundness and roughness for ball bearing based on fourier series and fractal theory |
| topic | Roughness modeling Roundness modeling Bearing raceway Fractal theory Fourier series |
| url | http://www.sciencedirect.com/science/article/pii/S259012302500547X |
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