Nonlinear dynamic analysis of an electromechanical coupling transmission system: A case study on shearers

Abstract

The operation environment of an electromechanical coupling transmission system in shearers is significantly harsher than that of electromechanical coupling transmission system for general applications. Besides, under the combined action of electrical and mechanical factors, unstable phenomenon may appear when the complicated dynamic behaviors of electromechanical coupling transmission system of a shearer occur such as bifurcation and chaos. Therefore, to solve this problem, the stability, bifurcation, and chaotic characters of electromechanical coupling transmission system with various electromagnetism stiffnesses are investigated in this paper. Then, the nonlinear dynamic equation of electromechanical coupling transmission system of a shearer is set up by taking both air-gap field energy of permanent magnet synchronous motor and coupling impact of mechanical and electrical parameters. According to the established equations, the equilibrium point and eigenvalue of the system are discussed. Meanwhile, the parameters conditions of the system Hopf bifurcation and chaotic motion are analyzed, and the homoclinic orbit of the system is determined. The results show that bifurcation and chaotic motion can be controlled effectively when reasonable parameters are concerned, which is of great practical significance to further study the vibration of the mechanical-electromagnetic coupling transmission system and the improvement of system stability.