An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives
The anti-scuffing bearing capacity of gears is a significant issue for their service lives, especially for the cases with heavy loads or high speeds. Generally, the anti-scuffing bearing capacity is evaluated according to the surface contact temperature that can be calculated with either analytical...
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| Format: | Article |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/14/3087 |
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| author | Jun Wen Yuansheng Zhou Jinyuan Tang Yu Dai |
| author_facet | Jun Wen Yuansheng Zhou Jinyuan Tang Yu Dai |
| author_sort | Jun Wen |
| collection | DOAJ |
| description | The anti-scuffing bearing capacity of gears is a significant issue for their service lives, especially for the cases with heavy loads or high speeds. Generally, the anti-scuffing bearing capacity is evaluated according to the surface contact temperature that can be calculated with either analytical methods or finite element analysis (FEA) methods. The analytical methods usually apply the theory of Blok to efficiently obtain the results by simplifying some actual physical conditions, which are well considered in the FEA methods with accurate results but more computation time. Conversely, a new efficient and accurate analytical method is proposed by introducing the actual lubricant film thickness and continuous heat transfer for the theory of Blok. These two physical conditions are the key issues for the calculation of the two parts of surface contact temperature, flash temperature and bulk temperature, respectively. For the calculation of flash temperature, elastohydrodynamic lubrication (EHL) is introduced to consider the lubricant film thickness for the theory of Blok, and the result is obtained by solving the Reynolds equation efficiently with the finite difference method. For the bulk temperature, the result for a contacting point on the gear tooth surface is directly obtained according the theory of Blok, and the continuous heat transfer among the adjacent contacting points is considered with Gaussian heat morphology, which can accurately construct the bulk temperature field distribution in the contact region. The proposed method is validated as in good agreement with the FEA method and with less computation time. |
| first_indexed | 2024-03-11T00:51:57Z |
| format | Article |
| id | doaj.art-9af1b65385c948b4b5130dbff1faa4c9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:51:57Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9af1b65385c948b4b5130dbff1faa4c92023-11-18T20:20:21ZengMDPI AGMathematics2227-73902023-07-011114308710.3390/math11143087An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear DrivesJun Wen0Yuansheng Zhou1Jinyuan Tang2Yu Dai3State Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, ChinaState Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, ChinaState Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, ChinaState Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, ChinaThe anti-scuffing bearing capacity of gears is a significant issue for their service lives, especially for the cases with heavy loads or high speeds. Generally, the anti-scuffing bearing capacity is evaluated according to the surface contact temperature that can be calculated with either analytical methods or finite element analysis (FEA) methods. The analytical methods usually apply the theory of Blok to efficiently obtain the results by simplifying some actual physical conditions, which are well considered in the FEA methods with accurate results but more computation time. Conversely, a new efficient and accurate analytical method is proposed by introducing the actual lubricant film thickness and continuous heat transfer for the theory of Blok. These two physical conditions are the key issues for the calculation of the two parts of surface contact temperature, flash temperature and bulk temperature, respectively. For the calculation of flash temperature, elastohydrodynamic lubrication (EHL) is introduced to consider the lubricant film thickness for the theory of Blok, and the result is obtained by solving the Reynolds equation efficiently with the finite difference method. For the bulk temperature, the result for a contacting point on the gear tooth surface is directly obtained according the theory of Blok, and the continuous heat transfer among the adjacent contacting points is considered with Gaussian heat morphology, which can accurately construct the bulk temperature field distribution in the contact region. The proposed method is validated as in good agreement with the FEA method and with less computation time.https://www.mdpi.com/2227-7390/11/14/3087face gearanalytical approachFEA methodcontact temperatureanti-scuffing |
| spellingShingle | Jun Wen Yuansheng Zhou Jinyuan Tang Yu Dai An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives Mathematics face gear analytical approach FEA method contact temperature anti-scuffing |
| title | An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives |
| title_full | An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives |
| title_fullStr | An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives |
| title_full_unstemmed | An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives |
| title_short | An Effective Analytical Approach to Predicting the Surface Contact Temperature of the Face Gear Drives |
| title_sort | effective analytical approach to predicting the surface contact temperature of the face gear drives |
| topic | face gear analytical approach FEA method contact temperature anti-scuffing |
| url | https://www.mdpi.com/2227-7390/11/14/3087 |
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