Global Analysis of a Planetary Gear Train
By using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple gear backlashes. The study results reveal that...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/930350 |
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| _version_ | 1832546563114663936 |
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| author | Tongjie Li Rupeng Zhu |
| author_facet | Tongjie Li Rupeng Zhu |
| author_sort | Tongjie Li |
| collection | DOAJ |
| description | By using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple gear backlashes. The study results reveal that the planetary with a certain set of parameters has four coexisting periodic orbits, which are P-1, P-2, P-4, and P-8, respectively. P-1 and P-2 motions are not of long-term stability, P-8 motion is of local stability, and P-4 motion is of global stability. Shooting method does not have the capacity of searching coexisting periodic orbits in a global scope, and it is easy to omit some periodic orbits which are far away from the main gropes of periodic orbits. |
| format | Article |
| id | doaj-art-de57c42b0dfc4bbb83b55b4ccd3fd4ae |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-de57c42b0dfc4bbb83b55b4ccd3fd4ae2025-02-03T06:48:05ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/930350930350Global Analysis of a Planetary Gear TrainTongjie Li0Rupeng Zhu1College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaBy using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple gear backlashes. The study results reveal that the planetary with a certain set of parameters has four coexisting periodic orbits, which are P-1, P-2, P-4, and P-8, respectively. P-1 and P-2 motions are not of long-term stability, P-8 motion is of local stability, and P-4 motion is of global stability. Shooting method does not have the capacity of searching coexisting periodic orbits in a global scope, and it is easy to omit some periodic orbits which are far away from the main gropes of periodic orbits.http://dx.doi.org/10.1155/2014/930350 |
| spellingShingle | Tongjie Li Rupeng Zhu Global Analysis of a Planetary Gear Train Shock and Vibration |
| title | Global Analysis of a Planetary Gear Train |
| title_full | Global Analysis of a Planetary Gear Train |
| title_fullStr | Global Analysis of a Planetary Gear Train |
| title_full_unstemmed | Global Analysis of a Planetary Gear Train |
| title_short | Global Analysis of a Planetary Gear Train |
| title_sort | global analysis of a planetary gear train |
| url | http://dx.doi.org/10.1155/2014/930350 |
| work_keys_str_mv | AT tongjieli globalanalysisofaplanetarygeartrain AT rupengzhu globalanalysisofaplanetarygeartrain |