Research On Optimal Control Of Rotating Disk Vibration Based On Eddy Current Damper

Rotating disk is a basic mechanical component in industrial applications, such as turbines, circular saw, precision gyroscope, computer storage devices etc. The vibration and stability of the rotating disk is becoming increasingly important with its thickness decreased and the speed increased. To suppress the vibration of disk, damping method is usually applied for improving the components used life and safety in engineering. The eddy current damper has become a research hotspot in recent years among actuators of vibration control for its non-contact, no mechanical wear, damping control etc. This paper implemented optimal control of rotating disk based on the eddy current damper, and mainly studied system theoretical modeling, active control algorithm and simulation, experimental system design and experimental validation and so on.The electricity model of eddy current damper and dynamic equation of rotating disk have been established respectively based on Electromagnetic field theory and Kirchhoff's elastic thin plate bending theory. The characteristics of eddy current damper such as the relationship of the damping force and current, clearance, disk vibration velocity etc, were simulated and analyzed. The dynamic characteristics of rotating disk were also simulated based on SIMULINK platform with implemented external disturbance force by eddy current damper. The results show eddy current damper can impose effectively controlling forces on the rotation disk.With linear quadratic optimal control algorithm, the controller was designed and the weighting matrix Q and R of the selection strategy was analyzed. According to its dynamic characteristics, the vibration control algorithm of rotating disk system was simulated by SIMULINK, which include two parts content, compared displacement responses of rotation disk with control forces and without control forces, and analyzed the effect of the control the weighting matrix Q selection. Simulation results show the damping force can effectively suppress the lateral vibration of rotating disk, and the active control method is effective.According to the above theory analysis, the experimental of rotating disk active vibration control was carried out. The experiment system that was mainly made of computer control system has been designed. And the active vibration control experiments of static and rotating disk were carried out. The results were consistent with the simulation conclusions and verified the above theory, and also show the disk speed, the position layout of sensor and damper, the disk specifications can influence effect of vibration control.This work further enriches research field of active control technology and establishes theoretical basis of research and practical application of active eddy current damper. At the same time, it will also provide theoretical guidance for research on rotor type system vibration control.