Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System

Abstract

The mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typical analysis method, the Poincare method, is applied to study the synchronization characteristics, and the balanced equations and stability criterion of the system are obtained. Obviously, it can be seen that many parameters affect the synchronous state of the system, especially the stiffness of the support spring, the stiffness of the connecting spring, and the installation location of the motors. Meanwhile, choose a suitable stiffness of the connecting spring (k), which would play a significant role in engineering. Finally, computer simulations are used to verify the correctness of the theoretical analysis.

Theoretical, numerical, and experimental study on synchronization of three motors coupled with a tensile spring in a nonlinear vibrating system

“…However, for synchronization problem of multiexciter, it is difficult for the two co-rotating rotors to achieve in-phase synchronization owing to the influence of synchronization characteristics of the vibrating system, which makes the amplitudes of the system cannot be guaranteed. Based on the background, Hou investigated synchronization and stability of an elastically coupled rotors system; the coupling spring has always subjected to a changing force alternately in tension and in compression (Hou et al, 2016(Hou et al, , 2017. In addition, the vibrating system driven by multi-motor is required to obtain a greater exciting force.…”