Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear
Although axial free floating of the driving pinion can automatically balance the load of the left and right helical gear pairs, it causes its three-dimensional vibration. A new three-dimensional loaded tooth contact analysis (3-DLTCA) model of a double helical gear considering the pinion axial suppo...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Japan Society of Mechanical Engineers
2021-11-01
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| Series: | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jamdsm/15/6/15_2021jamdsm0074/_pdf/-char/en |
| _version_ | 1811225614694219776 |
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| author | Xuan LIU Zongde FANG Xunmin YIN Ning ZHAO Yunbo SHEN Hui GUO |
| author_facet | Xuan LIU Zongde FANG Xunmin YIN Ning ZHAO Yunbo SHEN Hui GUO |
| author_sort | Xuan LIU |
| collection | DOAJ |
| description | Although axial free floating of the driving pinion can automatically balance the load of the left and right helical gear pairs, it causes its three-dimensional vibration. A new three-dimensional loaded tooth contact analysis (3-DLTCA) model of a double helical gear considering the pinion axial support stiffness is proposed in this paper. Firstly, according to the differential geometry and mechanical analysis, the 3-DLTCA model of a double helical gear is established. The model is based on the deformation coordination condition, force balance condition, non-embedding condition and axial force balance constraint. Secondly, to reduce the three-dimensional loaded transmission error (3-DLTE) and improve the load distribution, a multi-objective optimization mathematical model of a double helical gear is established. Finally, the effects of load, error, pinion axial support stiffness and tooth surface modification on the 3-DLTE of a double helical gear are investigated by employing numerical examples. The results indicate that the new 3-DLTCA model can accurately calculate the 3-DLTE of a double helical gear. By optimizing tooth surface modification and pinion axial support stiffness, the 3-DLTE of a double helical gear can be effectively reduced while considering the uniform load of the left and right tooth surfaces. Moreover, the optimization design method can effectively reduce the three-dimensional vibration of the double helical gear system. |
| first_indexed | 2024-04-12T09:10:21Z |
| format | Article |
| id | doaj.art-483d19daa82e40e79fd56613fbbbd78b |
| institution | Directory Open Access Journal |
| issn | 1881-3054 |
| language | English |
| last_indexed | 2024-04-12T09:10:21Z |
| publishDate | 2021-11-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Advanced Mechanical Design, Systems, and Manufacturing |
| spelling | doaj.art-483d19daa82e40e79fd56613fbbbd78b2022-12-22T03:39:00ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542021-11-01156JAMDSM0074JAMDSM007410.1299/jamdsm.2021jamdsm0074jamdsmThree-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gearXuan LIU0Zongde FANG1Xunmin YIN2Ning ZHAO3Yunbo SHEN4Hui GUO5School of Mechanical Engineering, Northwestern Polytechnical UniversitySchool of Mechanical Engineering, Northwestern Polytechnical UniversityNo.703 Research Institute of China Shipbuilding Industry CorporationSchool of Mechanical Engineering, Northwestern Polytechnical UniversitySchool of Mechatronic Engineering, Xi’an Technological UniversitySchool of Mechanical Engineering, Northwestern Polytechnical UniversityAlthough axial free floating of the driving pinion can automatically balance the load of the left and right helical gear pairs, it causes its three-dimensional vibration. A new three-dimensional loaded tooth contact analysis (3-DLTCA) model of a double helical gear considering the pinion axial support stiffness is proposed in this paper. Firstly, according to the differential geometry and mechanical analysis, the 3-DLTCA model of a double helical gear is established. The model is based on the deformation coordination condition, force balance condition, non-embedding condition and axial force balance constraint. Secondly, to reduce the three-dimensional loaded transmission error (3-DLTE) and improve the load distribution, a multi-objective optimization mathematical model of a double helical gear is established. Finally, the effects of load, error, pinion axial support stiffness and tooth surface modification on the 3-DLTE of a double helical gear are investigated by employing numerical examples. The results indicate that the new 3-DLTCA model can accurately calculate the 3-DLTE of a double helical gear. By optimizing tooth surface modification and pinion axial support stiffness, the 3-DLTE of a double helical gear can be effectively reduced while considering the uniform load of the left and right tooth surfaces. Moreover, the optimization design method can effectively reduce the three-dimensional vibration of the double helical gear system.https://www.jstage.jst.go.jp/article/jamdsm/15/6/15_2021jamdsm0074/_pdf/-char/endouble helical gearthree-dimensional loaded transmission errorload distributionpinion axial support stiffnessvibration reduction design |
| spellingShingle | Xuan LIU Zongde FANG Xunmin YIN Ning ZHAO Yunbo SHEN Hui GUO Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear Journal of Advanced Mechanical Design, Systems, and Manufacturing double helical gear three-dimensional loaded transmission error load distribution pinion axial support stiffness vibration reduction design |
| title | Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| title_full | Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| title_fullStr | Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| title_full_unstemmed | Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| title_short | Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| title_sort | three dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear |
| topic | double helical gear three-dimensional loaded transmission error load distribution pinion axial support stiffness vibration reduction design |
| url | https://www.jstage.jst.go.jp/article/jamdsm/15/6/15_2021jamdsm0074/_pdf/-char/en |
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