Study On Active Vibration And Noise Control Of A Gear Pair System Based On FxLMS Algorithm

As a universal part, gear is an important transmission device in mechanical system.It plays a very key role in mechanical industry, traffic, chemical industry, aviation,spaceflight, shipbuilding, etc. But the manufacture and installation errors areunavoidable in practical application of the gear, of which the deformation is producedby the load. The mesh relation of gear pair is damaged by these errors and thedeformation. It causes the gear position is different from the theory location, and alsothe instantaneous drive ratio is changed. The error incentive, engendered by collisionand impact between the teeth, causes the vibration and noise.In this paper, active control technology is applied for the gear pair system vibrationcontrol. An active vibration control structure in the internal gearbox, combined with thepiezoelectric smart material, is developed to suppress gear pair vibration due totransmission error excitation in a direct way. The approach is based on an active shafttransverse vibration control concept. In the control structure, a piezoelectric stackactuator is employed, which is constructed by some piezoelectric elements in the way ofseries conection in mechanics and parallel connection in electrics. The force generatedby the actuator can attenuate bending vibration of the shaft. So the vibration of gear pairsystem is surpressed. The main contributions of the dissertation include the following:①According to active vibration control concept, the active vibration controlsystem of the gear transmission is determined. Based on FxLMS adaptive algorithm, thecertainty sinusoidal periodic signal is introduced as driving source, and the activevibration control of gear transmission system is simulated. Finally, the convergenceconditions of FxLMS algorithm and the effectiveness of subprime channel are analyzed.②A coupled rigid-flexible virtual prototyping of the gear transmission system isestablished, and the dynamic response is analyzed. Then the simulation of the activevibration control which combines ADAMS and Matlab/Simulink is applied to validatethat FxLMS algorithm is feasible and effective.③An active vibration control rig is constructed based on a direct drivepower-absorbing-type test gearbox, and the software and hardware of experimentalsystem are integrated. Then dynamic response of gear transmission system andcharacteristics of piezoelectric actuator are analyzed. It facilitates the next experimentand practical engineering application. ④The controllers of the Fuzzy, Fuzzy-PD and FxLMS algorithm are designed.Then the evaluations are carried out based on the hardware-in-the-loop simulationexperiment. The experiment results show that attenuation in the gearbox housingvibration response can be achieved at the first gear mesh frequency using the threecontrollers, but the FxLMS controller is better than others.