Abstract: Aiming at the problem that the plane vibration self-synchronization model could not adapt to complex working conditions. The self-synchronization characteristics of the coaxial reverse rotation vibration system driven by two machines was analyzed and studied. Firstly, the force condition of the system was analyzed, the kinematics model of the system was built, the differential equation of motion of the system was obtained by using Lagrange equation, the speed and phase of the motor rotor were processed by using the average method, and the steady-state response was further calculated. Then, the steady-state equation of the vibration system was analyzed by using Hamilton principle, and two conditions for the synchronization and stability of the rotor were derived. The influence of the main structural parameters and working parameters of the system on the synchronization and stability of the system was discussed. Finally, according to the calculated data, the mechanical model was built by MATLAB and simulated by Simulink to verify the stability and feasibility of the self-synchronization of the vibration system. The experimental results show that the two motors can keep the same speed under stable working conditions, and the relative phase difference does not change, which is stable at about 2 rads. At the same time, when a motor in the system is disconnected and reconnected, the motor can still reach the speed of the normal working motor within 25 s, and the phase difference between the rotors of the two motors is still maintained around 2.5 rads, and the vertical vibration track is only offset by ± 0.04 m. It fills the lack of the theory of reverse rotation in the vibration system of space structures, and lays a foundation for the study of similar vibration synchronization.
Key words:  vibrating machinery; dual coaxial reverse rotation; self-synchronization characteristics; eccentric rotor; stability condition; rotor vibration system