Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train
A multifreedom tensional nonlinear dynamic equation of encased differential planetary gear train with multibacklash and time-varying mesh stiffness was developed in the present research. The nonlinear dynamic response was obtained by solving the formulated nonlinear dynamic equation, and the impacts...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9347925 |
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| author | Zengbao Zhu Longchao Cheng Rui Xu Rupeng Zhu |
| author_facet | Zengbao Zhu Longchao Cheng Rui Xu Rupeng Zhu |
| author_sort | Zengbao Zhu |
| collection | DOAJ |
| description | A multifreedom tensional nonlinear dynamic equation of encased differential planetary gear train with multibacklash and time-varying mesh stiffness was developed in the present research. The nonlinear dynamic response was obtained by solving the formulated nonlinear dynamic equation, and the impacts of backlash on dynamic characteristics of the gear train were then analyzed by combining time process diagram, phase diagram, and Poincaré section. The results revealed that bilateral shock in meshing teeth was caused due to smaller backlash, thus causing dramatic changes in meshing force; hence, the gears were found to be in a chaotic state. Further, during stable motion state, no contact between intermeshing teeth with bigger backlash was noticed; thus, they were in a stable quasiperiodic motion state in the absence of teeth exciting force. Therefore, in order to avoid a bilateral shock in gears as well as to maintain gear teeth lubrication, a slightly bigger backlash is required. The backlash change in any transmission stage caused significant impacts on gear force and the motion state of its own stage; however, the impact on gear force of another stage was quite small, whereas the impact on the motion state of another stage was quite large. |
| format | Article |
| id | doaj-art-e60c470b5d0944cd939fd824700eceff |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e60c470b5d0944cd939fd824700eceff2025-02-03T01:27:14ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/93479259347925Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear TrainZengbao Zhu0Longchao Cheng1Rui Xu2Rupeng Zhu3College of Mechanical Engineering, Anhui University of Science and Technology, Huainan 232001, ChinaCollege of Mechanical Engineering, Anhui University of Science and Technology, Huainan 232001, ChinaCollege of Mechanical Engineering, Anhui University of Science and Technology, Huainan 232001, ChinaCollege of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaA multifreedom tensional nonlinear dynamic equation of encased differential planetary gear train with multibacklash and time-varying mesh stiffness was developed in the present research. The nonlinear dynamic response was obtained by solving the formulated nonlinear dynamic equation, and the impacts of backlash on dynamic characteristics of the gear train were then analyzed by combining time process diagram, phase diagram, and Poincaré section. The results revealed that bilateral shock in meshing teeth was caused due to smaller backlash, thus causing dramatic changes in meshing force; hence, the gears were found to be in a chaotic state. Further, during stable motion state, no contact between intermeshing teeth with bigger backlash was noticed; thus, they were in a stable quasiperiodic motion state in the absence of teeth exciting force. Therefore, in order to avoid a bilateral shock in gears as well as to maintain gear teeth lubrication, a slightly bigger backlash is required. The backlash change in any transmission stage caused significant impacts on gear force and the motion state of its own stage; however, the impact on gear force of another stage was quite small, whereas the impact on the motion state of another stage was quite large.http://dx.doi.org/10.1155/2019/9347925 |
| spellingShingle | Zengbao Zhu Longchao Cheng Rui Xu Rupeng Zhu Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train Shock and Vibration |
| title | Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train |
| title_full | Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train |
| title_fullStr | Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train |
| title_full_unstemmed | Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train |
| title_short | Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train |
| title_sort | impacts of backlash on nonlinear dynamic characteristic of encased differential planetary gear train |
| url | http://dx.doi.org/10.1155/2019/9347925 |
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