Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities
Understanding the contact mechanics of rough tooth surfaces is critical in order to understand phenomena such as tooth surface flash temperature, tooth surface wear, and gear vibration. In this paper, the contact behavior between the meshing tooth surfaces of beveloid gear pairs with elliptical aspe...
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MDPI AG
2022-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/8/4071 |
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| author | Guangbin Yu Hancheng Mao Lidong Jiang Wei Liu Tupolev Valerii |
| author_facet | Guangbin Yu Hancheng Mao Lidong Jiang Wei Liu Tupolev Valerii |
| author_sort | Guangbin Yu |
| collection | DOAJ |
| description | Understanding the contact mechanics of rough tooth surfaces is critical in order to understand phenomena such as tooth surface flash temperature, tooth surface wear, and gear vibration. In this paper, the contact behavior between the meshing tooth surfaces of beveloid gear pairs with elliptical asperities is the focus. The contact area distribution function of the elliptical asperity was proposed for the point contact of curved surfaces by transforming the elastic contact problem between gear meshing surfaces into the contact between elastic curved surfaces with an arbitrary radius of curvature. In addition, a fractal contact mechanics model for the rough surface of a beveloid gear with elliptical asperities was established. The influence of tooth surface topography on the contact load and contact stiffness under different fractal parameters was investigated, and the results demonstrated that the real contact load and the contact stiffness of curved surfaces increase with the increase in the fractal dimension <i>D</i> and the contact coefficient <i>λ</i>. Conversely, the real contact load and normal contact stiffness decrease with the increase in the fractal roughness <i>G</i> and eccentricity <i>e</i>. |
| first_indexed | 2024-03-09T11:11:33Z |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T11:11:33Z |
| publishDate | 2022-04-01 |
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| spelling | doaj.art-e9b9dd8d4f3d401194be60c60d20f1c12023-12-01T00:44:43ZengMDPI AGApplied Sciences2076-34172022-04-01128407110.3390/app12084071Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical AsperitiesGuangbin Yu0Hancheng Mao1Lidong Jiang2Wei Liu3Tupolev Valerii4School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, ChinaCSIC No.703 Research Institute, Harbin 150078, ChinaJiangsu Shengan Transmission Co., Ltd., Yancheng 224000, ChinaSchool of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin 150080, ChinaUnderstanding the contact mechanics of rough tooth surfaces is critical in order to understand phenomena such as tooth surface flash temperature, tooth surface wear, and gear vibration. In this paper, the contact behavior between the meshing tooth surfaces of beveloid gear pairs with elliptical asperities is the focus. The contact area distribution function of the elliptical asperity was proposed for the point contact of curved surfaces by transforming the elastic contact problem between gear meshing surfaces into the contact between elastic curved surfaces with an arbitrary radius of curvature. In addition, a fractal contact mechanics model for the rough surface of a beveloid gear with elliptical asperities was established. The influence of tooth surface topography on the contact load and contact stiffness under different fractal parameters was investigated, and the results demonstrated that the real contact load and the contact stiffness of curved surfaces increase with the increase in the fractal dimension <i>D</i> and the contact coefficient <i>λ</i>. Conversely, the real contact load and normal contact stiffness decrease with the increase in the fractal roughness <i>G</i> and eccentricity <i>e</i>.https://www.mdpi.com/2076-3417/12/8/4071mechanics modelsurface topographyelliptical asperitybeveloid gears |
| spellingShingle | Guangbin Yu Hancheng Mao Lidong Jiang Wei Liu Tupolev Valerii Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities Applied Sciences mechanics model surface topography elliptical asperity beveloid gears |
| title | Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities |
| title_full | Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities |
| title_fullStr | Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities |
| title_full_unstemmed | Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities |
| title_short | Fractal Contact Mechanics Model for the Rough Surface of a Beveloid Gear with Elliptical Asperities |
| title_sort | fractal contact mechanics model for the rough surface of a beveloid gear with elliptical asperities |
| topic | mechanics model surface topography elliptical asperity beveloid gears |
| url | https://www.mdpi.com/2076-3417/12/8/4071 |
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