Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method
In this paper, a potential energy based slice grouping method was proposed to calculate the mesh stiffness for straight beveloid gears with parallel axes. The mathematical mesh stiffness model was derived. The finite element tooth contact model was developed and the loaded tooth contact analysis was...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2018-11-01
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| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/12/7/12_2018jamdsm0122/_pdf/-char/en |
| _version_ | 1818532137284927488 |
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| author | Chaosheng SONG Siwei ZHOU Caichao ZHU Xingyu YANG Zufeng LI Ruihua SUN |
| author_facet | Chaosheng SONG Siwei ZHOU Caichao ZHU Xingyu YANG Zufeng LI Ruihua SUN |
| author_sort | Chaosheng SONG |
| collection | DOAJ |
| description | In this paper, a potential energy based slice grouping method was proposed to calculate the mesh stiffness for straight beveloid gears with parallel axes. The mathematical mesh stiffness model was derived. The finite element tooth contact model was developed and the loaded tooth contact analysis was conducted to calculate the mesh stiffness. The verification for the mesh stiffness was conducted with the error 3 %, which proves the feasibility and accuracy. Then, the effects of parameters such as pressure angle, pitch cone angle, and profile shift coefficient on the mesh stiffness were investigated. Results show that the normal pressure angle and the tooth width have obvious effects both on the single tooth and synthesized mesh stiffness. When pressure angle is less than 20°, mesh stiffness will be increased with the increase of pressure angle. However, it decreases rapidly when the pressure angle exceeds 20°. Both the single tooth and synthesized mesh stiffness increase obviously as the tooth width increases. The increase of the cone angle and addendum coefficient have a little effect on the single tooth mesh stiffness, but have the obvious incremental effects on the synthesized mesh stiffness. The contact ratio increases obviously with the increase of the addendum coefficient. The profile shift coefficient and the clearance coefficient have unsubstantial effects both on the single and synthesized mesh stiffness. |
| first_indexed | 2024-12-11T17:41:36Z |
| format | Article |
| id | doaj.art-1275825b3024471e9504c5f07fd9a60f |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-12-11T17:41:36Z |
| publishDate | 2018-11-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-1275825b3024471e9504c5f07fd9a60f2022-12-22T00:56:30ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542018-11-01127JAMDSM0122JAMDSM012210.1299/jamdsm.2018jamdsm0122jamdsmModeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy methodChaosheng SONG0Siwei ZHOU1Caichao ZHU2Xingyu YANG3Zufeng LI4Ruihua SUN5The State Key Laboratory of Mechanical Transmissions, Chongqing UniversityThe State Key Laboratory of Mechanical Transmissions, Chongqing UniversityThe State Key Laboratory of Mechanical Transmissions, Chongqing UniversityThe State Key Laboratory of Mechanical Transmissions, Chongqing UniversityThe State Key Laboratory of Mechanical Transmissions, Chongqing UniversityThe State Key Laboratory of Mechanical Transmissions, Chongqing UniversityIn this paper, a potential energy based slice grouping method was proposed to calculate the mesh stiffness for straight beveloid gears with parallel axes. The mathematical mesh stiffness model was derived. The finite element tooth contact model was developed and the loaded tooth contact analysis was conducted to calculate the mesh stiffness. The verification for the mesh stiffness was conducted with the error 3 %, which proves the feasibility and accuracy. Then, the effects of parameters such as pressure angle, pitch cone angle, and profile shift coefficient on the mesh stiffness were investigated. Results show that the normal pressure angle and the tooth width have obvious effects both on the single tooth and synthesized mesh stiffness. When pressure angle is less than 20°, mesh stiffness will be increased with the increase of pressure angle. However, it decreases rapidly when the pressure angle exceeds 20°. Both the single tooth and synthesized mesh stiffness increase obviously as the tooth width increases. The increase of the cone angle and addendum coefficient have a little effect on the single tooth mesh stiffness, but have the obvious incremental effects on the synthesized mesh stiffness. The contact ratio increases obviously with the increase of the addendum coefficient. The profile shift coefficient and the clearance coefficient have unsubstantial effects both on the single and synthesized mesh stiffness.https://www.jstage.jst.go.jp/article/jamdsm/12/7/12_2018jamdsm0122/_pdf/-char/enstraight beveloid gearmesh stiffnessslice grouping methodpotential energy methodparallel axes |
| spellingShingle | Chaosheng SONG Siwei ZHOU Caichao ZHU Xingyu YANG Zufeng LI Ruihua SUN Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method Journal of Advanced Mechanical Design, Systems, and Manufacturing straight beveloid gear mesh stiffness slice grouping method potential energy method parallel axes |
| title | Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| title_full | Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| title_fullStr | Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| title_full_unstemmed | Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| title_short | Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| title_sort | modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method |
| topic | straight beveloid gear mesh stiffness slice grouping method potential energy method parallel axes |
| url | https://www.jstage.jst.go.jp/article/jamdsm/12/7/12_2018jamdsm0122/_pdf/-char/en |
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