Mathematical and Computer Simulation of Rotor Dynamics Phenomena in Electromechanical Systems with Magnetic Bearings

Abstract

AbstractThe paper considers original computer software for analyzing of rotor dynamics in passive and active magnetic bearings. These bearings are used in motors, compressors, pumps and other rotary machines. In the design of such electromechanical systems, the use of information technologies is relevant. This implies mathematical modeling of processes and their computer simulation to find rational or optimal designs. The object of research is the dynamics of rotors in magnetic bearings. The feature of the approach is taking into account interconnected electromagnetic and mechanical controlled processes. The main aim is simulating and visualizing of the nonlinear phenomena of rotor dynamics in magnetic bearings of various types. Presentation of the results is made in graphical and textual form for determination of dynamic characteristics and evaluation of motion stability. The mathematical analytical model is based on the Lagrange-Maxwell differential equations. Implementation of computer modeling and visualization of rotor dynamics phenomena was performed in the form of a nonlinear simulation computational model of dynamics of rotors in magnetic bearings. This simulation model has an ability to construct vibrograms, spectrograms, motion paths, phase trajectories and stroboscopic Poincare sections, three-dimensional spectra, amplitude-frequency characteristics and dependences of amplitudes of sub- and superharmonics on rotation speed for selected rotor points. Verification of the simulation model was performed by comparing the results with the experimental data for existing rotor systems.KeywordsRotor dynamicsPassive and active magnetic bearingNonlinear processes and phenomenaMathematical modelComputer simulation