Active Vibration Control of a Multimode Rotor-Bearing System Using an Adaptive Algorithm

1986 ◽  
Vol 108 (2) ◽  
pp. 230-231 ◽  
Author(s):  
A. V. Metcalfe ◽  
J. S. Burdess

A method for minimizing forced harmonic vibration of a rotor-bearing system by the application of external control forces is presented. The frequency of the vibration is assumed known. In cases of mass unbalance or bend in the shaft this will be shaft rotation frequency and can usually be monitored without difficulty. The control forces could be provided by electromagnetic actuators. The control strategy presented does not require any knowledge of the system parameters and, provided the uncontrolled system is stable, cannot destablize the system. Results from a simulation are shown.

2020 ◽  
Vol 31 (10) ◽  
pp. 1284-1297
Author(s):  
Maryam Brahem ◽  
Mnaouar Chouchane ◽  
Amira Amamou

Rotor vibration control is crucial for the reliability of rotating machines. This article applies active vibration control to reduce the vibration of a rotor bearing system using flexible piezoelectric patches as actuators mounted on the shaft external surface. The patches reduce the vibration due to unbalance forces by generating bending moments to counteract rotor deformation. An active vibration control system is designed based on a full-state linear quadratic regulator controller. Since proximity probes are used to measure the lateral vibrations of the rotor at few shaft positions, an observer is designed to estimate the unmeasured vibrations. The weighting matrices required by the linear quadratic regulator controller are selected by trial and error so that the displacement amplitudes are reduced to a minimum and the actuation voltages remain within the limitations defined by the manufacturer of the used patches. Simulated responses demonstrate the effectiveness of the designed controller in attenuating the lateral vibration of the rotor bearing system when using two actuating voltages. The vibration response is reduced for the steady-state condition and during run-up particularly at the first critical speed.


Author(s):  
Z Yu ◽  
L T Meng ◽  
L M King

This paper presents a detailed description of the electromagnetic actuator for active vibration control of a flexible rotor bearing system. The transfer characteristics of the electromagnetic actuator are investigated theoretically and experimentally. The linearized relationship of the electromagnetic force/input control voltage can be achieved by employing the analogue square root control circuits. A control algorithm which allows the control force of the actuator to be computed to minimize the synchronous rotor vibration is discussed. Computer simulation on a simple rotor bearing system is presented to demonstrate the effectiveness of the control algorithm in synchronous vibration reduction using the electromagnetic actuator.


1989 ◽  
Vol 111 (4) ◽  
pp. 366-369
Author(s):  
Lie Yu ◽  
You-Bai Xie ◽  
Jun Zhu ◽  
Damou Qiu

The objective function applied to express the optimum response of the rotor-bearing system is presented based on the complex mode analysis. Two kinds of problems about the calculation of control forces are solved: in the nonconstraint condition the optimization of control forces is treated as the evaluation of a set of linear equations; and the Powell and complex methods are used to calculate the constrained control forces. Numerical examples are also given.


2020 ◽  
Vol 53 (3-4) ◽  
pp. 531-540
Author(s):  
Tao Lai ◽  
Junfeng Liu

In order to improve the vibration responses of rotor system, this paper presents an active vibration control technique for a rotor-bearing-actuator system with the use of robust eigenvalue placement method. By analyzing the characteristics of the piezoelectric stack actuator, bearing and rotor, a rotor-bearing-actuator system is modeled. Based on this dynamical model, a reduced-order technique is used to establish the state equation in the modal space. A robust eigenvalue placement method, which can enhance the robustness of system to model error and uncertain factors by optimizing the close-loop eigenmatrix with a small condition number, is proposed to carry out the active vibration control for system. The good results indicate that the eigenvalue can be placed to precise position, and the displacement responses get effectively suppressed with the proposed method. Meanwhile, the optimized close-loop eigenmatrix can possess a small condition number, which means the system has achieved excellent robustness.


2013 ◽  
Vol 448-453 ◽  
pp. 3403-3407
Author(s):  
Chao Feng Li ◽  
Shi Hua Zhou ◽  
Jie Liu

Based on the establishment of angular contact ball bearing mechanical model, a nonlinear coupled lateral, torsional and axial dynamic model of helical gear-rotor-bearing system is established, and the dynamic differential equations of the coupled lateral-torsional-axial nonlinear vibration are deduced for imbalance rotors. The investigations are systematically carried out by oscillograms and spectrograms with rotating speed, taking into account eccentricity and nonlinear supporting by rolling bearing. The results show that the rotation frequency of the driven shaft appears in the driving shaft. In addition, the rotation frequencies and meshing frequency appear obviously in torsional direction. It can be seen that the lateral, torsional and axial response characteristics of driving and driven shafts obvious differences are due to the effects of the gear assembly characteristic, gear geometry parameters and the angular contact ball bearings characteristics. As a result, not only appear the rotational frequency and stiffness frequency, but also yield the bearing variable stiffness frequency and conbined frequency in lateral directions. However, the theory of the helical gear-rotor-bearing system still needs further research.


This paper presents a computationally fast and efficient least-squares method to minimize the vibration of any general rotor-bearing system by the application of external control forces. The D-optimality concept is used to optimize the force locations. The proposed method provides a wide range of statistical information, and the sensitivity of the optimum response to changes in the control forces. Magnetic bearings can be applied to implement the open-loop adaptive vibration control strategies outlined in the paper. These components can also be used to inject a multi-frequency test signal as required for identi­fication studies.


Author(s):  
Willian Faria dos Santos ◽  
Matheus Maroni ◽  
Breno Pagliuse ◽  
Rodrigo Henriques Lopes da Silva ◽  
Edson Hideki Koroishi ◽  
...  

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
C. Oktay Azeloglu ◽  
Ahmet Sagirli

This paper studies the design of a linear matrix inequality (LMI) based mixedH2/H∞state-feedback controller for vibration attenuation problem of seismic-excited container cranes. In order to show effectiveness of the designed controller, a six-degree-of-freedom container crane structural system is modeled using a spring-mass-damper subsystem. The system is then simulated against the real ground motion of El Centro and Northridge earthquakes. Finally, the time history of the crane parts displacements, accelerations, control forces, and frequency responses of both uncontrolled and controlled cases are presented. Additionally, the performance of the designed controller is also compared with a nominal state-feedbackH∞controller performance. Simulations of the designed controller show better seismic performance than a nominal state-feedbackH∞controller. Simulation results show that the designed controller is all effective in reducing vibration amplitudes of crane parts.


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