Abstract
The nonlinear effects in gearboxes are a key concern to describe accurately their dynamic behavior. This task is difficult for complex gear systems such as planetary gearboxes. The main aim of this work is to provide responses to overcome this difficulty especially in nonstationary operating regimes by investigating a back-to-back planetary gearbox in steady conditions and in the run-up regime. The nonlinear Hertzian contact of teeth pair is modeled in stationary and nonstationary run-up regime. Then it is incorporated in to a torsional model of the planetary gearbox through different mesh stiffness functions. In addition, motor torque and external load variation are taken into account. The nonlinear equations of motion of the back-to-back planetary gearbox are computed through the Newmark- β algorithm combined with the method of Newton–Raphson. An experimental validation of the proposed numerical model is done through a test bench for both stationary and run-up regimes. The vibration characteristics are extracted and correlated to speed and torque. Time–frequency analysis is implemented to characterize the transient regime during the run-up.
Highlights
Planetary gears are operated in several fields such as wind turbine and hybrid automotive where the performance of the whole system depends on the split unit [1,2,3]
6-Conclusion: This paper examined the non-linear dynamic behavior of a back-to-back planetary gearbox transmission during stationary condition and the run up regime
The objective was to characterize the dynamic behavior for such regimes when Hertzian contact between mating teeth is considered
Summary
Planetary gears are operated in several fields such as wind turbine and hybrid automotive where the performance of the whole system depends on the split unit [1,2,3]. Vicuña and Chaari [22] carried out running experiments of planetary gearbox under sinusoidal variable load to which the input speed is sensitive They correlated these measurements with numerical results obtained from a dynamic model in which the gear mesh stiffness depends on the input speed. Zimroz et al, [27] investigated the variable input wind power effect on gearbox vibrations of a wind turbine They presented the STFT of the gearbox to show the frequency modulations. In these works [29, 30], the meshing period is decreasing when speed is increasing These cited works on time varying speed gearbox used linear gear mesh stiffness to model the teeth gear contacts which are the main internal excitations. The teeth contact are modeled by the gear mesh stiffness functions which are computed by considering only the teeth HS or considering both HS, BS of tooth and FFS
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Schedule a callMore From: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
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