Theoretical Study of Synchronous Behavior in a Dual‐Pendulum‐Rotor System

摘要

A dual‐pendulum‐rotor system widely appears in aero‐power plant, mining screening machines, parallel robots, and the like of the other rotation equipment. Unfortunately, the synchronous behavior related to the dual‐pendulum‐rotor system is less reported. Based on the special backgrounds, a simplified mechanical model of the dual‐pendulum‐rotor system is proposed in the paper, and the intrinsic mechanisms of synchronous phenomenon in the system are further revealed with employing the Poincaré method. The research results show that the spring stiffness, the installation angular of the motor, and rotation direction of the rotors have a large influence on the existence and stability of the synchronization state in the coupling system, and the mass ratios of the system are irrelevant to the synchronous state of the system. It should be noted that to ensure the implementation of the synchronization of the system, the values of the parameters of the system should be far away to the two “critical points”.