The Application Of GMA In Active Vibration Control Considering Transient Hysteresis Loss

With the rapid growth of technology, flexible structure is used widely, especiallyin the precision measurement and use of instrumentation. As the characteristics oflarge deflection and small damping for flexible structures, Vibration attenuation in thestructure needs a long time and affects the accuracy of the instrument. So the activevibration control for flexible structures is necessary. Magnetostrictive actuator has thecharacteristics of fast response and large strain, so it is more and more widely used.The thesis researches the active vibration control of cantilever beam based onhysteresis loss and dynamic model of giant magnetostrictive actuator. The specificresearch of the papar is as following:(1) Discuss the structure design of giant magnetostrictive actuator (GMA). Thischapter uses the stacked structure of GMM rod and completes the structural design ofGMA considering the effects of hysteresis loss. At the same time, this chapter verifiesrationality of the GMA structure by electromagnetic analysis and completes themachining of GMA.(2) Discuss the hysteresis loss. To consider the effects of hysteresis loss, thischapter introduces the conception of hysteresis loss factor and applies it to theparameters of magnetic equation in the form of imaginary part. Finally we get thedynamic model of GMA.This chapter also introduces the experiment platform ofimpedance testing and gets the relationship curve between impedance and frequencyby the experient. At the same time we get the value of the phase lag angle.(3) Discuss system modeling, including the dynamic differential equation of thebeam, the transfer function model of giant magnetostrictive actuator. This chapterdetermines the parameters of the cantilever beam using ANSYS. Finally independentmodal space control method is studied, and the parameters of modal gain arecalculated. Finally we complete the machining of cantilever beam.(4) Discuss the design of the fuzzy PID controller. According to the fuzzycontrol rules obtained by practical experience，we design a self-adaptive controller bycombining fuzzy control and traditional PID control and get initial parameters of PIDcontroller by MATLAB. Finally the step response curve is obtained through simulation.(5) Discuss the experiment of active vibration control system. We build theactive vibration control experiment system based on the existing equipmentconditions and complete the active vibration control experiment for the cantileverbeam on the condition of random excitation and vibration exciter.This thesis builds the dynamic model of giant magnetostrictive actuatorintroducing the hysteresis loss factors and applies it to the active vibration control offlexible structure. From the vibration experiment, the effect of active vibration controlfor cantilever beam is good. At the same time, this thesis provides certain referencevalue for the further practical application of giant magnetostrictive actuator in thefield of active vibration control.