Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission
Based on the space curve meshing equation, in this article, a geometry design of a novel circular arc helical gear mechanism with pure rolling for parallel transmission was presented. Different from conventional circular arc gears, the meshing points of circular arc helical gears were limited at the...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2017-01-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814017690957 |
| _version_ | 1818899618328477696 |
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| author | Zhen Chen Huafeng Ding Bo Li Linbo Luo Liang Zhang Jing Yang |
| author_facet | Zhen Chen Huafeng Ding Bo Li Linbo Luo Liang Zhang Jing Yang |
| author_sort | Zhen Chen |
| collection | DOAJ |
| description | Based on the space curve meshing equation, in this article, a geometry design of a novel circular arc helical gear mechanism with pure rolling for parallel transmission was presented. Different from conventional circular arc gears, the meshing points of circular arc helical gears were limited at the instantaneous centre of rotation. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equation, and parameter equations of the concave–convex circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was presented, and the impact factors influencing the contact ratio were discussed. Then, the parameter design was presented for the geometry parameters of tooth profiles, such as normal pitch, tooth height and tooth thickness. Using the deduced equations, several numerical examples were then considered, and prototype samples were produced to experimentally validate the contact ratio equation and the theoretical kinematic performance. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance such as a pure rolling meshing, a high contact ratio and a large comprehensive strength, when considering engineering applications. |
| first_indexed | 2024-12-19T19:50:50Z |
| format | Article |
| id | doaj.art-7faa428d2ed14b9d8492b77803d9d0a7 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-19T19:50:50Z |
| publishDate | 2017-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-7faa428d2ed14b9d8492b77803d9d0a72022-12-21T20:08:00ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-01-01910.1177/1687814017690957Geometry and parameter design of novel circular arc helical gears for parallel-axis transmissionZhen Chen0Huafeng Ding1Bo Li2Linbo Luo3Liang Zhang4Jing Yang5School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, P.R. ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, P.R. ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, P.R. ChinaSchool of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, P.R. ChinaWuhan East Lake Innovation Base Company Limited, Wuhan, P.R. ChinaWuhan East Lake Innovation Base Company Limited, Wuhan, P.R. ChinaBased on the space curve meshing equation, in this article, a geometry design of a novel circular arc helical gear mechanism with pure rolling for parallel transmission was presented. Different from conventional circular arc gears, the meshing points of circular arc helical gears were limited at the instantaneous centre of rotation. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equation, and parameter equations of the concave–convex circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was presented, and the impact factors influencing the contact ratio were discussed. Then, the parameter design was presented for the geometry parameters of tooth profiles, such as normal pitch, tooth height and tooth thickness. Using the deduced equations, several numerical examples were then considered, and prototype samples were produced to experimentally validate the contact ratio equation and the theoretical kinematic performance. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance such as a pure rolling meshing, a high contact ratio and a large comprehensive strength, when considering engineering applications.https://doi.org/10.1177/1687814017690957 |
| spellingShingle | Zhen Chen Huafeng Ding Bo Li Linbo Luo Liang Zhang Jing Yang Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission Advances in Mechanical Engineering |
| title | Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission |
| title_full | Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission |
| title_fullStr | Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission |
| title_full_unstemmed | Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission |
| title_short | Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission |
| title_sort | geometry and parameter design of novel circular arc helical gears for parallel axis transmission |
| url | https://doi.org/10.1177/1687814017690957 |
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