Modeling active vibration control of a geared rotor system

Abstract

This paper analyzes the practicality of active internal shaft transverse vibration control using a piezoelectric stack actuator for reducing external gearbox housing structure response due to transmission error excitation from a gear pair. The proposed adaptive controller that is designed specifically for tackling mesh frequency vibrations is based on an enhanced filtered-x least mean square algorithm with frequency estimation to synthesize the required reference signal. The vital system secondary path characteristic that relates the actuation force to the housing response of interest is identified in offline or online mode using the additive random noise technique. Numerical studies employing practical design parameters in order to provide a realistic assessment of the proposed approach are performed for a geared rotor system (dynamic plant) that is represented as finite and lumped elements. The simulations reveal very promising vibration control results, which will be utilized to guide future experimental studies.

Simulation study on active noise control for a 4-T MRI scanner

“…a feedback control that has a feedback controller K(s) embedded with a feedforward control loop in which an adaptive FIR filter W(z) is used, as illustrated in Figure 2. (a) Feedforward control-The feedforward loop is an adaptive controller which uses the filtered-x least mean square (FXLMS) algorithm to adjust the filter weights. The FXLMS control algorithm, an extended version of the LMS algorithm typically used for dynamic systems with phase delay secondary paths, is well studied and has been widely applied to many active vibration and noise control applications [14,16,[19][20][23][24]. This controller requires detailed information about the secondary path transfer function.…”

“…To ensure an adequate coherence level between the reference and disturbance signals, the exact principal frequency of MRI noise must be obtained in advance. A frequency estimator [24] uses the acquired signal to estimate in real time the instantaneous principal frequency. Using this frequency estimation technique, the reference signal, r(n), at the target principal frequency can be accurately synthesized.…”

A Comparative Study Based on Different Control Algorithms for Suppressing Multistage Gear Transmission System Vibrations

“…The results show the vibrations reduction up to about 20 dB at the first two mesh harmonics. Li et al [7][8][9] adopted the FxLMS control algorithm to actuate the PZT to produce the active control force for reducing the gearbox vibrations, and the simulation work successfully demonstrated the feasibility of applying the proposed control scheme to gear vibration problems. Based on a combination of feedback and repetitive control strategy, Pinte et al [10] applied a modular bearing using piezostacks to generate secondary forces for suppressing the noise and vibration of the rotation machinery.…”

Research on dynamic transmission characteristics of box-like structures based on a hybrid model method

“…Vibration and noise caused by gearbox will weaken the stealthy performance of ships and contribute the structural-borne noise in helicopters [1]. In order to suppress the vibration and improve dynamic properties of gearbox, such methods as active vibration control and dynamic optimization should be taken [2][3][4]. But the prerequisite is that the dynamic transmission characteristics must be studied.…”