STUDY ON SYNCHRONIZATION MECHANISM AND EXPERIMENT OF VIBRATING SYSTEM ACTUATED WITH DOUBLE-FREQUENCY AND DUAL-ROTOR

As the first-stage equipment of purifying drilling fluid, the screening performance of drilling shaker will directly determine the production efficiency of subsequent solid-control system. Meanwhile, in material screening engineering, the dynamics characteristics of vibrating system with single frequency actuation is difficult to match with the particle size of material, which usually leads to blocking of the screen mesh. Thus, to solve the problem mentioned above, a self-synchronous vibratory system actuated with multiple-frequency and dual-rotor is proposed in the present work. Firstly, motion differential equation of the multi-degree-of-freedom vibration system is obtained according to mathematical model and generalized Lagrange’s equations, and amplitude responses of the oscillating body in stable state are solved by applying complex number method. Then, considering revised small parameters method and Poincare−Lyapunov theory, the precondition and the stability evaluation criterion of implementing multiple-frequency synchronization are systematically revealed. Subsequently, relationship among the synchronous characteristics of rotors and the structural parameters of system is discussed quantitatively by numerical calculation. Moreover, combining with Runge−Kutta algorithm, an electromechanical coupling dynamics simulation model related to the proposed vibration system is established, and the double-frequency synchronization mechanism among the rotors and the oscillating body are analyzed in detail. Finally, an experimental platform is established to test the synchronous motion state and the dynamic characteristics of the system under different working conditions, which further demonstrates correctness of the theoretical investigation and the computation simulation. Research shows that synchronous ability index of the system is infinitely closed to zero with the increase of mounting distance. In this case, the possibility that the high-speed rotor and the low-speed rotor achieve steady synchronous vibration is gradually increased. Furthermore, the synchronous state of the motors is hardly affected with the stiffness coefficients of springs, but the phase difference value will be decreased and locked around a constant value with the change of dip angle and mounting distance of the exciters in a single period. This study not only has important reference value for the invention of vibrating screen in petroleum industry, but also will promote the development of other vibration machines.