Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems
To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion was divided into three parts: the domain of t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/10/12/1112 |
| _version_ | 1797456680233992192 |
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| author | Yang Liu Yinghou Jiao Shiyuan Qi Guangbin Yu Mengdi Du |
| author_facet | Yang Liu Yinghou Jiao Shiyuan Qi Guangbin Yu Mengdi Du |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion was divided into three parts: the domain of tooth surface meshing motion, the domain of free motion and the domain of tooth back meshing motion. Introducing the global mapping and local mapping dynamics method, the process of gear teeth from impact to meshing and then impact and meshing was accurately described. The influence of different restitution coefficients on gear impact-meshing motion was studied by numerical simulation. The results showed that the grazing bifurcation caused by gear backlash will lead to complex mapping structures of the system and even chaos. The restitution coefficient directly affects the impact-meshing behavior. The introduction of meshing stiffness and restitution coefficient can reasonably characterize the elastic deformation and energy loss during gear meshing, which provides a theoretical model for the application of the theory of discontinuous dynamical systems to a more complex multi-degree of freedom flexible contact gear transmission system. |
| first_indexed | 2024-03-09T16:11:19Z |
| format | Article |
| id | doaj.art-b6d07e6488db4ddf9a41cbba8b0a81b0 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-09T16:11:19Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-b6d07e6488db4ddf9a41cbba8b0a81b02023-11-24T16:15:49ZengMDPI AGMachines2075-17022022-11-011012111210.3390/machines10121112Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear SystemsYang Liu0Yinghou Jiao1Shiyuan Qi2Guangbin Yu3Mengdi Du4School of Mechatronics Engineering, Harbin Institute of Technology, 92 Xidazhi Street, Nangang District, Harbin 150001, ChinaSchool of Mechatronics Engineering, Harbin Institute of Technology, 92 Xidazhi Street, Nangang District, Harbin 150001, ChinaSchool of Mechanical and Power Engineering, Harbin University of Science and Technology, 52 Xuefu Rd., Nangang District, Harbin 150080, ChinaSchool of Mechatronics Engineering, Harbin Institute of Technology, 92 Xidazhi Street, Nangang District, Harbin 150001, ChinaInstitute of Foreign Languages, Wuhan University of Science and Technology, 2 Huangjiahu West Rd., Hongshan District, Wuhan 430065, ChinaTo reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion was divided into three parts: the domain of tooth surface meshing motion, the domain of free motion and the domain of tooth back meshing motion. Introducing the global mapping and local mapping dynamics method, the process of gear teeth from impact to meshing and then impact and meshing was accurately described. The influence of different restitution coefficients on gear impact-meshing motion was studied by numerical simulation. The results showed that the grazing bifurcation caused by gear backlash will lead to complex mapping structures of the system and even chaos. The restitution coefficient directly affects the impact-meshing behavior. The introduction of meshing stiffness and restitution coefficient can reasonably characterize the elastic deformation and energy loss during gear meshing, which provides a theoretical model for the application of the theory of discontinuous dynamical systems to a more complex multi-degree of freedom flexible contact gear transmission system.https://www.mdpi.com/2075-1702/10/12/1112rattling vibrationbacklashimpact-meshingbifurcation and chaosdiscontinuous dynamical systems |
| spellingShingle | Yang Liu Yinghou Jiao Shiyuan Qi Guangbin Yu Mengdi Du Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems Machines rattling vibration backlash impact-meshing bifurcation and chaos discontinuous dynamical systems |
| title | Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems |
| title_full | Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems |
| title_fullStr | Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems |
| title_full_unstemmed | Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems |
| title_short | Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems |
| title_sort | study on the nonlinear dynamic behavior of rattling vibration in gear systems |
| topic | rattling vibration backlash impact-meshing bifurcation and chaos discontinuous dynamical systems |
| url | https://www.mdpi.com/2075-1702/10/12/1112 |
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