Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact
In this paper, novel non-involute cylindrical gears are designed based on a curved path of contact. Firstly, a parabolic curve is predesigned as the contact path of novel gears. Then, the tooth profiles of the novel gears are calculated using differential geometry and spatial meshing theory. Secondl...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/22/4290 |
| _version_ | 1827644191476285440 |
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| author | Chao Jia Qingtuo He Jianming Xiao Hui Dong |
| author_facet | Chao Jia Qingtuo He Jianming Xiao Hui Dong |
| author_sort | Chao Jia |
| collection | DOAJ |
| description | In this paper, novel non-involute cylindrical gears are designed based on a curved path of contact. Firstly, a parabolic curve is predesigned as the contact path of novel gears. Then, the tooth profiles of the novel gears are calculated using differential geometry and spatial meshing theory. Secondly, the three-dimensional tooth models of the novel non-involute gears are established according to a machining simulation. Thirdly, a simulation model (including misalignment error and longitudinal modification) is established to analyze the performance of the novel non-involute gears. Finally, an example is given, and the results show that the presented novel non-involute gears have greater load-carrying capacity compared with the involute gears. Moreover, whether modified or not, with or without misalignment error, the stresses of the presented novel gears are lower than those of involute gears. |
| first_indexed | 2024-03-09T18:10:28Z |
| format | Article |
| id | doaj.art-06644a6b3b0548bfa7be61da9a13ca1b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T18:10:28Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-06644a6b3b0548bfa7be61da9a13ca1b2023-11-24T09:09:07ZengMDPI AGMathematics2227-73902022-11-011022429010.3390/math10224290Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of ContactChao Jia0Qingtuo He1Jianming Xiao2Hui Dong3School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, ChinaIn this paper, novel non-involute cylindrical gears are designed based on a curved path of contact. Firstly, a parabolic curve is predesigned as the contact path of novel gears. Then, the tooth profiles of the novel gears are calculated using differential geometry and spatial meshing theory. Secondly, the three-dimensional tooth models of the novel non-involute gears are established according to a machining simulation. Thirdly, a simulation model (including misalignment error and longitudinal modification) is established to analyze the performance of the novel non-involute gears. Finally, an example is given, and the results show that the presented novel non-involute gears have greater load-carrying capacity compared with the involute gears. Moreover, whether modified or not, with or without misalignment error, the stresses of the presented novel gears are lower than those of involute gears.https://www.mdpi.com/2227-7390/10/22/4290novel non-involute gearcurved path of contacttooth profile designtooth longitudinal modificationmisalignment error |
| spellingShingle | Chao Jia Qingtuo He Jianming Xiao Hui Dong Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact Mathematics novel non-involute gear curved path of contact tooth profile design tooth longitudinal modification misalignment error |
| title | Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact |
| title_full | Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact |
| title_fullStr | Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact |
| title_full_unstemmed | Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact |
| title_short | Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact |
| title_sort | design and analysis of novel non involute cylindrical gears with a curved path of contact |
| topic | novel non-involute gear curved path of contact tooth profile design tooth longitudinal modification misalignment error |
| url | https://www.mdpi.com/2227-7390/10/22/4290 |
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