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| Study on General Method of Working Speed Range Determination for a Planetary Gear Train Based on Stability Requirement and a Nonlinear Vibration Model |
| Li Tong-jie1,2，Zhu Ru-peng1, Bao He-yun , Xiang Chang-le3，Liu Hui3 |
| 1 College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 2100162 College of Engineering, Anhui Science & Technology University, Fengyang 2331003 School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing, 100081 |
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Abstract A general method of working speed range determination for a planetary gear train is studied based on stability requirement and a nonlinear vibration system. In the method, bifurcation diagram with working speed is calculated by using the method of maximum displacement in order to identify the instability of motion state and the instability of vibration amplitude in a diagram. The system’s stable working speed can be determined easily by using the bifurcation diagram and 4 speed range selection principles which is elaborated in this paper. As an example, the working speed of a planetary gear train with errors of transmission, time varying meshing stiffness and gear backlashes is studied and the results reveal that there are 5 kinds of instability forms and 12 instability speed regions in all in the region of dimensionless speed .
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Received: 02 August 2011
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2012, Vol. 31 
