Synchronization analysis of the anti-resonance system with three exciters

Abstract

In the petroleum exploitation industry, the vibration isolation technology of the traditional vibration screen is difficult to satisfy the security requirement of industrial production, so the anti-resonance system of three exciters is proposed in the present work. The differential motion equations of the vibrating system are established through introducing Lagrange's equation. The vibration isolation coefficient is defined to analyze the vibration isolation capability of anti-resonance system. And the synchronization condition and stability criterion are obtained by introducing the small parameters averaging method. Besides, the relation between the dynamic characteristics and structural parameters of the vibrating system is explored by numerical analyses. The simulation results are given to verify the accuracy of theoretical research. The results indicate that the optimal vibration isolation ability of the system is carried out when the excitation frequency of the vibrating system is equal to natural frequency of the system. The self-synchronization of the proposed system is independent of the mounting distance of the motors with the same mounting angle. Nevertheless, the self-synchronization is obviously influenced by the mounting distance of the motors with different mounting angle. This study can provide design ideas of the anti-resonance machine and promote the development of vibration utilization engineering.