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.
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