Vibrating screen is the pivotal equipment of solid control in drilling mud purification system. With the continuous upgrading of rapid drilling technology, the conventional single-body vibrating screen with the same-frequency excitation is difficult to satisfy the needs of current drilling operations. Therefore, a newly dual-body vibration absorption system model with double-frequency excitation is proposed to improve the mechanical performance of screening equipment. To grasp the dynamic characteristics of the vibration system, the synchronization mechanism and stability criterion are theoretically studied by modified small parameter average method and Poincare-Lyapunov method. Meanwhile, the vibration absorption ability, coupling torque and synchronization state of the system are numerically discussed. Lastly, the electromechanical coupling model of system is established by Runge-Kutta method to verify the reliability of theoretical analysis and numerical calculation. According to the results of research, the synchronous characteristics are mainly determined by the installation position of motors and the mass ratio of eccentric rotors. Besides, the synchronization ability between identical-frequency motors is stronger than different frequency motors. The present work can provide theoretical direction for designing of new screening equipment.
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