Experimental Analysis of an Active Vibration Frequency Control in Gearbox

Abstract

Aiming at the vibrations of the multistage gear transmission system aroused by the gear meshing excitation, a novel active vibration control structure with built-in piezoelectric actuators (PZT) was established. The active control forces generated by the PZT were transmitted to the shafts through the additional supporting bearings. In addition, an adaptive fuzzy proportion integration differentiation (AFPID) control algorithm was proposed as the primary control algorithm to reduce the transverse vibrations of the gear shaft. According to the control law of PID parameters, a fuzzy inference module was designed to adaptively adjust the PID parameters to obtain the optimal control effect. An experimental platform was set up to verify the control effect of the algorithm. The experiments performed show 10 dB reduction in housing vibrations at certain targeted mesh harmonics over a range of operating speeds.

Active vibration control of gearbox housing using inertial mass actuators

“…The widely used FxLMS algorithm is applied to actively control the vibrations of the mounting locations of the gearbox at each excitation frequency denoted by ω j . The real part of the control voltage from equation (14), denoted by U a (t), considering the phase lag of the system, can be rewritten in vector notation as follows: The reference signal correlated with the input excitation frequency is needed to calculate the two components of the control output, as seen in equation (17). Since the frequency of excitation is known in this experiment, the two components of the reference signal along with the frequencydependent lag can be generated in vector form as: X j (t) = [ cos(ω j t + ϕ j ) sin(ω j t + ϕ j )…”

“…The vibration level was reduced by 3-9 dB at the target, and the control accuracy was improved by 23%-123%. Wang et al [17,18] implemented an AVC strategy using piezoelectric actuators mounted on the low-speed shaft and the high-speed shaft of a multi-stage gearbox. They achieved a 10 dB reduction in housing vibrations at targeted mesh harmonics over various operating speeds.…”

Archive of Mechanical Engineering

“…Simulation is done through applying the bounds on the controller gain as, K ∞ 10000 and K ∞ 50000 for model one and K ∞ 5000 and K ∞ 100000 for second model. After solving the optimization problem (13), the controller achieved optimum H-infinity norms of transfer function. The optimum H-infinity norms values and the controller gain values are presented in Table 2.…”

“…PID, fuzzy and Fx-LMS algorithms were used to control the fundamental and harmonic vibrations. Wang et al [13] constructed an experimental platform for active vibration control of the gear system with piezoelectric actuators. The active control was performed using the adaptive fuzzy proportion integration differentiation control algorithm.…”