Dynamic Analysis Of The Rotor-bearing System And Its Control Study

Magnetic levitation bearing-rotor bearing，a kind of rotor，has advantages of thenon-contact, low friction, low power consumption, low noise，long life，heating up slowly,and the advantages of high speed compared with the traditional rotor, so it is widely used invarious ifelds.lt is a kind of energy conversion device which can convert electrical energy intokinetic energy，providing powerful motivation for scientiifc and technological progress andthe development of human society.But researchers found chaotic phenomena in the processthat is that the movement of the rotor is running，which has a direct impact on the permanceof magnetic levitation bearing-rotor bearing.Hence studying the magnetic levitation bearing-rotor bearing has great practical signiifcance.The paper systematically studies dynamic behavior of magnetic levitation bearing-rotorbearing of nonlinear system of different models in different situations and ifnds richdynamical behavior.Then conducts chaos control in order to control the chaos and improvethe eiffciency of magnetic levitation bearing-rotor bearing.The main contents of the paperare as follows:1The research situation of the magnetic levitation bearing-rotor bearing wasintroduced，and the purpose and signiifcance of the thesis and the current problems in theifled.Then the history of magnetic levitation bearing-rotor bearing, dynamic model andnumerical algorithm for electromagnetic wave are described.2Dynamical behavior of magnetic levitation bearing-rotor bearing of non-linear systemof different parameters in different situations was studied. The system presents a gooddynamic behavior by studying the phase diagram, the bifurcation diagram,the LyapunovExponents,Poincare sections,bifurcation diagrams and numerical simulations.This papermainly research following models: magnetic levitation bearing-rotor effected by The systemparameters of eccentricity U，system stiffness ratio K and the friction factor^；magneticlevitation bearing-rotor effected by periodic function of crack.3The main jobs of chaotic control of magnetic levitation bearing rotor system are asfollows: ifrstly,we design a state feedback controller for magnetic levitation bearing rotor.Themethod is proved the validity by numerical simulation by the system under control before andafter their respective bifurcation diagram, time response and Poincare map.Then we design astate feedback controller for magnetic levitation bearing rotor effected by periodic function ofcrack.Because angular velocity changes will affect the cycle of crack opening and closingfunction and crack periodic functions affect the stiffness ratio of the system directly,Our focusis making angular velocity in the rotor control the values what we hope.The method isproved the validity by numerical simulation，oto.