Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train
The translation and torsion coupled strong nonlinear dynamics model of two-stage planetary gear transmission system is established， and the nonlinear factors such as time-varying meshing stiffness， tooth side clearance and meshing error are introduced， after dimensionless treatment， dynamics equatio...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2020-10-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.007 |
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| author | Xiaolu Leng Xiaosun Wang Chongshan Lu Shijing Wu |
| author_facet | Xiaolu Leng Xiaosun Wang Chongshan Lu Shijing Wu |
| author_sort | Xiaolu Leng |
| collection | DOAJ |
| description | The translation and torsion coupled strong nonlinear dynamics model of two-stage planetary gear transmission system is established， and the nonlinear factors such as time-varying meshing stiffness， tooth side clearance and meshing error are introduced， after dimensionless treatment， dynamics equations are established. By using the numerical integration method， system of equations are solved， the nonlinear dynamic response result of the system is obtained， and the bifurcation diagram of the system changing with excitation frequency in the case of different backlash is calculated. Through comprehensive use of phase trajectory， Poincare section and Lyapunov index spectrum， and the system correlation dimension is obtained by the G-P algorithm. The nonlinear dynamics characteristic of two-stage planetary system is studied from the perspective of qualitative and quantitative， the influence of chaotic frequency， into the way of chaos and backlash of two-stage planetary system on the nonlinear characteristics of two-stage planetary gear train is obtained. Some theoretical basis for the study of fault mechanism of two-stage planetary gear system is provided. |
| format | Article |
| id | doaj-art-c073b8d9de9b4b8bb5780d701886f69b |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2020-10-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-c073b8d9de9b4b8bb5780d701886f69b2025-01-10T14:55:15ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-10-0144445429791296Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear TrainXiaolu LengXiaosun WangChongshan LuShijing WuThe translation and torsion coupled strong nonlinear dynamics model of two-stage planetary gear transmission system is established， and the nonlinear factors such as time-varying meshing stiffness， tooth side clearance and meshing error are introduced， after dimensionless treatment， dynamics equations are established. By using the numerical integration method， system of equations are solved， the nonlinear dynamic response result of the system is obtained， and the bifurcation diagram of the system changing with excitation frequency in the case of different backlash is calculated. Through comprehensive use of phase trajectory， Poincare section and Lyapunov index spectrum， and the system correlation dimension is obtained by the G-P algorithm. The nonlinear dynamics characteristic of two-stage planetary system is studied from the perspective of qualitative and quantitative， the influence of chaotic frequency， into the way of chaos and backlash of two-stage planetary system on the nonlinear characteristics of two-stage planetary gear train is obtained. Some theoretical basis for the study of fault mechanism of two-stage planetary gear system is provided.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.007Two-stage planetary gear systemLyapunov indexTranslation-torsion couplingNonlinear dynamicsBifurcationChaos |
| spellingShingle | Xiaolu Leng Xiaosun Wang Chongshan Lu Shijing Wu Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train Jixie chuandong Two-stage planetary gear system Lyapunov index Translation-torsion coupling Nonlinear dynamics Bifurcation Chaos |
| title | Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train |
| title_full | Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train |
| title_fullStr | Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train |
| title_full_unstemmed | Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train |
| title_short | Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train |
| title_sort | study on nonlinear dynamics characteristic of two stage planetary gear train |
| topic | Two-stage planetary gear system Lyapunov index Translation-torsion coupling Nonlinear dynamics Bifurcation Chaos |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.007 |
| work_keys_str_mv | AT xiaoluleng studyonnonlineardynamicscharacteristicoftwostageplanetarygeartrain AT xiaosunwang studyonnonlineardynamicscharacteristicoftwostageplanetarygeartrain AT chongshanlu studyonnonlineardynamicscharacteristicoftwostageplanetarygeartrain AT shijingwu studyonnonlineardynamicscharacteristicoftwostageplanetarygeartrain |