Synchronization Behavior of Two Co-rotating Rotors in a Nonlinear Coupled System

doi:10.3901/JME.2020.23.150

Abstract

Abstract: With the vibrating system are evolving towards designing large-sized and heavy-duty, a large exciting force of the system is one big developmental tendency. Based on the special background, a synchronization issue of a new mechanism driven by two co-rotating motors coupled with a tensile-spring is proposed. Firstly, the differential equations of the dynamic system are derived by using Lagrange's equations; Then, the integral equations of the slow-changing parameters are obtained by adopting the method of direct separation of motions, and the synchronization condition and the stability criterion of the system are acquired; Next, analyzing influence of the parameters on the synchronous capacity and the synchronous characteristics of the system by the numerical analysis; Additionally, an electromechanical coupling model of the vibrating system is established by applying the Runge-Kutaa routine with adaptive stepsize control, some simulation analysis with the relationship between the synchronous state of the system and the dynamical characteristics of the electromechanical coupling system are carried out; Finally, an experimental model is designed, and some synchronous tests are carried out. It is found that the synchronous behavior of the vibrating system is mainly influenced by the stiffness of the tensile-spring and the supporting springs,the mounting position of two motors, etc. The stable phase difference between the two rotors gradually tends to zero with the increase of the stiffness of coupling spring, and the antiphase synchronization is converted into the in-phase synchronization, the theoretical results quite coincide with experiment results. All these researches will provide guidance for developing design the energy-efficient large-sized vibrating screens, and which can improve the solution to common problems in the field of vibrating synchronization.

Key words: two co-rotating rotors, nonlinear coupled system, the synchronous characteristics, stability, experiment

CLC Number:

TH113

DU Mingjun, HOU Yongjun, WU Yi, YU Cheng, HOU Duyu. Synchronization Behavior of Two Co-rotating Rotors in a Nonlinear Coupled System[J]. Journal of Mechanical Engineering, 2020, 56(23): 150-164.

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