Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles
Abstract An improved variable cross‐section cantilever beam model for evaluating the time‐varying mesh stiffness (TVMS) of the perfect gear tooth is developed in which the tooth number of driving gear is less than 42 and that of driven is more than 42. The TVMS obtained by the proposed method is com...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-09-01
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| Series: | International Journal of Mechanical System Dynamics |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/msd2.12003 |
| _version_ | 1818995480247402496 |
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| author | Jingyu Hou Shaopu Yang Qiang Li Yongqiang Liu Jiujian Wang |
| author_facet | Jingyu Hou Shaopu Yang Qiang Li Yongqiang Liu Jiujian Wang |
| author_sort | Jingyu Hou |
| collection | DOAJ |
| description | Abstract An improved variable cross‐section cantilever beam model for evaluating the time‐varying mesh stiffness (TVMS) of the perfect gear tooth is developed in which the tooth number of driving gear is less than 42 and that of driven is more than 42. The TVMS obtained by the proposed method is compared with the result without considering the misalignment between the base circle and gear root. Four types of root crack models and changes in TVMS of 13‐crack levels are presented. The fault vibration characteristic of a single‐stage spur gear reducer with root crack is analyzed and the correctness is qualitatively verified by the vibration signals of an experimental gearbox with crack or missing failure. The results presented in this paper are of great significance for a deep understanding of the possible causes of vibration and noise of gears and provide a theoretical foundation for the fault diagnosis of the gearbox. |
| first_indexed | 2024-12-20T21:14:31Z |
| format | Article |
| id | doaj.art-eeb31f2306774cab84a35e7b378edc7a |
| institution | Directory Open Access Journal |
| issn | 2767-1402 |
| language | English |
| last_indexed | 2024-12-20T21:14:31Z |
| publishDate | 2021-09-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mechanical System Dynamics |
| spelling | doaj.art-eeb31f2306774cab84a35e7b378edc7a2022-12-21T19:26:27ZengWileyInternational Journal of Mechanical System Dynamics2767-14022021-09-011114315610.1002/msd2.12003Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circlesJingyu Hou0Shaopu Yang1Qiang Li2Yongqiang Liu3Jiujian Wang4School of Mechanical, Electronic and Control Engineering Beijing Jiaotong University Beijing ChinaState Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures Shijiazhuang Tiedao University Shijiazhuang ChinaSchool of Mechanical, Electronic and Control Engineering Beijing Jiaotong University Beijing ChinaState Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures Shijiazhuang Tiedao University Shijiazhuang ChinaState Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan University Changsha ChinaAbstract An improved variable cross‐section cantilever beam model for evaluating the time‐varying mesh stiffness (TVMS) of the perfect gear tooth is developed in which the tooth number of driving gear is less than 42 and that of driven is more than 42. The TVMS obtained by the proposed method is compared with the result without considering the misalignment between the base circle and gear root. Four types of root crack models and changes in TVMS of 13‐crack levels are presented. The fault vibration characteristic of a single‐stage spur gear reducer with root crack is analyzed and the correctness is qualitatively verified by the vibration signals of an experimental gearbox with crack or missing failure. The results presented in this paper are of great significance for a deep understanding of the possible causes of vibration and noise of gears and provide a theoretical foundation for the fault diagnosis of the gearbox.https://doi.org/10.1002/msd2.12003backlashgearpotential energy methodtime‐varying mesh stiffness (TVMS)tooth crack |
| spellingShingle | Jingyu Hou Shaopu Yang Qiang Li Yongqiang Liu Jiujian Wang Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles International Journal of Mechanical System Dynamics backlash gear potential energy method time‐varying mesh stiffness (TVMS) tooth crack |
| title | Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles |
| title_full | Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles |
| title_fullStr | Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles |
| title_full_unstemmed | Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles |
| title_short | Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles |
| title_sort | mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack considering the misalignment between the base and root circles |
| topic | backlash gear potential energy method time‐varying mesh stiffness (TVMS) tooth crack |
| url | https://doi.org/10.1002/msd2.12003 |
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