Dynamic characteristics analysis of automatic ball balancers for eccentric rotors

Abstract : In order to study the vibration suppression characteristics of the device with an automatic ball balancer, the differential equations of motion of the rotor are derived by Lagrange equation and Newton's law, and the plane vibration model is established. The vibration model is transformed into an autonomous equation by coordinate-rotating transformation, and the equilibrium point of the autonomous system is analyzed. The numerical bifurcation software AUTO is used to complete the bifurcation analysis of the autonomous system. Hopf bifurcation phenomenon is pointed out in the equilibrium process, and the stable and unstable regions are analyzed. Finally, the correctness of the bifurcation conclusion is verified by numerical simulation.

Keywords : vibration and wave; automatic ball balancer; rotating machinery; bifurcation analysis; autonomous system

库罗德自动平衡装置的动力学特性分析(1).pdf