Papers by Keyword: Vibrating System

Abstract: In the first part of my paper, a vibration model has been put forward for studying the self-synchronization of a vibrating system by two-motor driven with isolation frame. The self-synchronization motion implementation and the stability condition of self-synchronization motion is obtained by the Routh-Hurwitz criterion. Zhao C Y ^{[ 1 ,2 ]} developed self-synchronization of the duel-motor and four-motor driven vibrating system by modified average method. S everal methods were used to analyze the self-synchronous motion verifying the self-synchronization of two motors. Wang D G used the computer to simulate the process of self-synchronization, and the results showed that the synchronization of vibrating system came true in either speed or phase to enable the system to be in a good self-synchronization state ^{[ 3 ]} . Balthazar ^{[ 4 ,5 ]} studied the self-synchronization of four motors having limited power supply and mounted on a flexible structural frame support.

Abstract: The idea of self-synchronization vibrating system comes from the phenomenon of synchronization. In the 1960s, Blekhman^[1,2] proposed the self-synchronization theory of vibrating system driven by two induction motors. When the structure parameters of the two motors met the requirements, the system could operate synchronously. Blekhman^[3] also found that even if the rotating speed and the angular phase difference of the two eccentric rotors were being disturbed or one of the motors was powered off, the system could still operate synchronously. The small parameter methods were applied to a number of problems by R.F. Nagaev^[4]. It can lead to better understanding of the self-synchronization theory. Wen Bang-chun^[5] applied self-synchronization theory to engineering and established a branch of the vibration utilization engineering, and numerous self-synchronous vibrating machines were invented.

Abstract: A vibration model is proposed and analyzed dynamically to study the self-synchronization theory of dual-mass vibration system. The differential equations of systematic motion are derived by applying Lagrange’s equations. Two uncertain parameters are introduced to derive the coupling equations of angular velocity of the two exciters. The conditions of synchronous implementation and stability are derived by utilizing the modified small parameter average method treated as non-dimension to the parameters. The swing of the vibration model plays a major role in the self-synchronization of two motors. The mass ratio of two eccentric blocks has an effect on the stability of synchronous operation.

Abstract: The coupling dynamic characteristics of the vibrating system with dual mass are analyzed quantitatively. Through numerical computation, the effects of translation and rotation in the system regarding self-synchronization are discussed. The phase difference of two eccentric blocks is caused by the difference of the rated revolution of two motors. The stability of the synchronous operation is dependent on the structural parameters of the system. Simulation is carried out to verify that the system can be synchronized and the model can guarantee the stability of synchronization if the parameters of the system meet the conditions of synchronous implementation and stability. Simulations are also performed for the self-synchronization of two motors with different rated revolutions.

Abstract: The dynamic model of vibrating system with two motors is established. Through dynamic analysis, the equations of frequency capture of the vibrating system and the conditions of implementing stable self-synchronous operation are obtained. Then the vibrating system is optimization designed based on the conditions of implementing stable self-synchronous operation. The simulation program with proper parameters of vibrating system is run, and the results show that the system is in a good synchronous state. Computer simulations demonstrate that the vibrating system realizes speed synchronization and phase synchronization. The results verify the effectiveness of the optimization design.