Synchronization of Two Eccentric Rotors Driven by One Motor with Two Flexible Couplings in a Spatial Vibration System

A dynamic model of a vibration system, in which eccentric rotors are driven by one motor with two flexible couplings, is developed in this study. The Lagrange equation is used to analyze the dynamic behavior of the vibration system. Synchronization theory and its motion law are investigated using Hamilton's principle, and the validity of the theory is proven through numerical simulation and experimentation. Results show that the system has two synchronous motions, namely, 0 and phases. When the torsional stiffness difference between two flexible couplings on both sides of the motor or the resistance moment difference between two eccentric rotors increases, the eccentric rotors maintain the synchronization and stability of the vibration system by adjusting its phase difference. Synchronization theory and the analysis method of the flexible-drive vibration system are extended in this study. Moreover, the synchronous motion law of the vibration system based on bilateral flexible drive by one motor is revealed to provide guidance for the development of high-performance vibrating machines.