Abstract
Planetary gearboxes are widely used in mechanical transmission systems due to their large transmission ratio and high transmission efficiency. In a planetary gearbox, the sun gear is usually set to float to balance the sharing of loads among planet gears. However, this floating set will result in the variation of pressure angle, overlap ratio, and meshing phase in the meshing progress and when gear faults occur, the variation will be enlarged. In the previous studies, these parameters were reduced to constant. To study the influence of the dynamic parameters on the vibration response of planetary gearboxes under different operating conditions, a new lumped-parameter model containing the time-varying pressure angle (TVPA), time-varying overlap ratio (TVOR), and time-varying meshing phase (TVMP) is established. Based on this model, the vibration response mechanism of the sun gear is analyzed. Moreover, the comparison with the previous model is made and the rule of phase modulation caused by these dynamic parameters is revealed. By comparing the dynamic responses under different loads and rotation speeds, the phase modulation is studied in detail. Finally, the sun gear fault is introduced, and the phase modulation is analyzed in different fault degrees. This study can provide theoretical reference for the condition monitoring and fault diagnosis of planetary gearbox based on vibration analysis.
Highlights
Nowadays, planetary gearbox is widely used in various mechanical systems, such as automobiles, helicopters, wind turbines, and robots for its advantages of large transmission ratio, high transmission efficiency, and compact structure [1]
Compared with the fixed shaft gearbox, planetary gearbox has more complex mechanical structure and gear movement, especially the time-varying vibration transfer paths, which leads to unnecessary modulation and asymmetric frequency sidebands in addition to a lot of noise in its vibration response [2,3,4,5]
In order to study the influence of phase modulation on the vibration response, the signal energy shown in Figure 18 is calculated (19999 sampling points)
Summary
The sun gear is usually set to float to balance the sharing of loads among planet gears This floating set will result in the variation of pressure angle, overlap ratio, and meshing phase in the meshing progress and when gear faults occur, the variation will be enlarged. To study the influence of the dynamic parameters on the vibration response of planetary gearboxes under different operating conditions, a new lumped-parameter model containing the time-varying pressure angle (TVPA), time-varying overlap ratio (TVOR), and time-varying meshing phase (TVMP) is established. Based on this model, the vibration response mechanism of the sun gear is analyzed. The sun gear fault is introduced, and the phase modulation is analyzed in different fault degrees. is study can provide theoretical reference for the condition monitoring and fault diagnosis of planetary gearbox based on vibration analysis
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