Abstract
Abstract. Based on the lumped parameter theory, a nonlinear bending torsion coupling dynamic model of planetary gear transmission system was established by considering the backlash, support clearance, time-varying meshing stiffness, meshing damping, transmission error and external periodic excitation. The model was solved by the Runge–Kutta method, the dynamic response was analyzed by a time domain diagram and phase diagram, and the nonlinear vibration characteristics were studied by the response curve of the speed vibration displacement. The vibration test of the planetary gearbox was carried out to verify the correctness of frequency domain response characteristics. The results show that the vibration response in the planetary gear system changes from a multiple periodic response to a single periodic response with the increase in input speed. Under the action of the backlash, time-varying meshing stiffness and meshing damping, the speed vibration displacement response curves of internal and external meshing pairs appear to form a nonlinear jump phenomenon and have a unilateral impact area, and the system presents nonlinear characteristics. The nonlinear vibration of the system can be effectively suppressed by decreasing the mesh stiffness or increasing the mesh resistance, while the vibration response displacement of the system increases by increasing the external exciting force, and the nonlinear characteristics of the system remain basically unchanged. The backlash is the main factor affecting the nonlinear frequency response of the system, but it can restrain the resonance of the system in a certain range. The spectrum characteristics of the vibration displacement signal of the planetary gearbox at different speeds are similar to the simulation results, which proves the validity of the simulation analysis model and the simulation results. It can provide a theoretical basis for the system vibration and noise reduction and a dynamic structural stability design optimization.
Highlights
Planetary gear transmission has been widely used in aircraft and vehicles because of its high load and large transmission ratio
Tang et al (2020) used the numerical integration method to analyze the effects of input speed, backlash, support clearance and damping ratio on the nonlinear dynamic characteristics of a planetary transmission system
The model is solved by a numerical method, and the nonlinear dynamic characteristics and frequency response characteristics of the system are analyzed by the time domain diagram and phase diagram
Summary
Planetary gear transmission has been widely used in aircraft and vehicles because of its high load and large transmission ratio. Jian et al (2021) comprehensively considered the influence of the modification coefficient and time-varying meshing stiffness; based on the dynamic theory, the dynamic model of planetary gear system was established, and the thermal electrohydrodynamic lubrication characteristics of the modified gear system under vibration were analyzed. Xiang et al (2020b) established a nonlinear model of a multistage gear transmission system, considering meshing stiffness, gear comprehensive error and backlash, and analyzed the nonlinear dynamic response of the system with excitation frequency and support stiffness as bifurcation parameters. In order to study the frequency response characteristics of the nonlinear system of the planetary gearbox under the action of multiple clearances, based on the lumped parameter theory and comprehensively considering the backlash, a nonlinear dynamic model of the bending torsion coupling of the planetary gear transmission system is established, including time-varying meshing stiffness, meshing synthesis error, external periodic excitation and other nonlinear factors. The model is solved by a numerical method, and the nonlinear dynamic characteristics and frequency response characteristics of the system are analyzed by the time domain diagram and phase diagram
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