Study On Active Vibration Control Of Gear System Based On Online Estimation Of Reference Signals

The gear pair is one of the core components of the mechanical transmission system.However,the vibration induced by the dynamic meshing excitation will damage the stability of the transmission system,lead to fatigue wear of the components,and reduce the performance and life of the transmission system.Vibration energy can also cause noise pollution through air radiation.Therefore,research on vibration control of gear transmission systems has been receiving much attention.This study applied the active control method to the gear vibration control.A new active control structure with a set of piezoelectric actuators built into the gearbox and acting on the gear shaft by additional bearings was designed to control the vibration of the two-stage gearbox.The controller that calculates the control signal was implemented based on the adaptive algorithm that estimates the reference signal online.The main research contents are as follows:(1)According to the comparison of the commonly used active control structure,and the characteristics of the two-stage gearbox,the active control structure with a pair of actuators mounted on the gear shaft through the additional bearing was designed.FxLMS algorithm and FxRLS algorithm were adopted as control strategies.The control signal was generated by the control strategy according to the reference signal,and used to drive the actuator to output the control force acting on the shaft to suppress the vibration of the gear system.By comparing the control systems with different control strategies through numerical simulation,it was proved that the FxRLS control system has better performance in terms of convergence speed and control effect.(2)The reference signal in the active control system was generated by the sinusoidal sequence function based on the meshing frequency estimated by the second-order IIR adaptive notch filter.Numerical simulations were carried out to verify the frequency estimation performances of the notch filter under different implementation structures and different adaptive algorithms.A novel LRLS based lattice notch filter was proposed to realize fast and accurate online estimation of meshing frequency according to the simulation results.(3)The virtual prototype of gearbox was built in ADAMS as the mechanical module,and the active control system with reference signal on-line estimation was built in Simulink as the control module.Real-time data interaction simulation between two modules was carried out to verify the feasibility of the proposed active control system to suppress the vibration of the gear system,and the performance difference between the FxRLS control system and the FxLMS control system.(4)A pair of piezoelectric actuators were installed on the gear shafts of the two-stage gear-box to construct the control structure.The experiment platform was built with controller,signal acquisition system and other equipment.The gear transmission system active vibration control experiments were carried out under different gearbox working conditions.The experimental results showed that the active control system can effectively suppress vibration at the meshing frequencies with high power spectral density value,which was consistent with the conclusion of interactive simulations.Moreover,at these frequencies,the FxRLS control system had better vibration control effect than the FxLMS control system,which proved the actual effectiveness of the designed active control system.