Research On Dynamic Behaviors Of Electromechanical Coupling Main Drive System Under Friction

With the rapid development of modern industry, electromechanical coupling main drive system has been widely used in many files of industry, agriculture, technology and our modern life. The electromechanical coupling main drive system is a complicated nonlinear system. Many factors will affect the stability of the system in the process of its operation. So it is significant to study the nonlinear dynamic behaviors of the electromechanical coupling system. In this paper, regarding electromechanical coupling system as research object, the smooth behaviors of the system under the action of lubricated friction are studied from the view of smooth characters, and the non-smooth behaviors of the system under the action of mixed friction are analyzed from the point of non-smooth characters.Firstly, according to the theory of electromagnetic field, the method of energy, lumped mass method and Lagrange-Maxwell equations, the nonlinear dynamic model of the electromechanical main transmission system drived by AC synchronous motor has been established. Secondly, considering the efforts of lubrication, the dynamic model of electromechanical main drive system under lubricated friction has been established. Taking lubricated friction coefficient as changing parameter, the Hopf bifurcation of the system is studied from the view of smooth dynamics. Research results show that the stability of the system dynamic behavior is influenced by the lubricated friction coefficient and the initial condition of the system. Finally, considering the efforts of dry friction, the non-smooth dynamic model of electromechanical coupling main drive system under mixed friction has been established. From the view of non-smooth dynamics, the periodic-solution stability of the system is analyzed by using Floquet theory. The Filippov convex method is used to extend the system and the theoretical conditions of the sliding bifurcation happening on the interface are given. Then establish the Poincaré mapping and analyzed the sliding bifurcation caused by the change of external excitation frequency using numerical prediction. At last, the correctness of the results is verified by numerical simulation.In this paper, the dynamic behavior of electromechanical coupling system is analyzed from the view of nonlinear and non-smooth dynamics, which makes a further improvement to the dynamic theory research of electromechanical coupling drive system. This topic provides a theoretical basis for the further study to the research of drive system vibration mechanism.