Self-Synchronization Theory Of A Dual Mass Vibrating System With Two Motors Drives

Self-synchronization theory of vibrating system has been developing rapidly since the1960s. At present vibrating machine based on the self-synchronization theory has been widely applied in the industrial departments. However, the classical self-synchronization theory is only concerned about the operation state after the system reaches the self-synchronization and lacks of the research about the transition from non-synchronization to self-synchronization in the initiating state. And that the results of theoretical analysis are verified by the computer simulations while there is not the practical experiment support. In addition, the current theory ignores the vibrational state of the system in the start-up phase, and due to the resonance the vibrating body will produce severe vibration and load noises which seriously impact the machine service life and workers’ health. Therefore, the study on the dynamic characteristics of the system in the start-up phase has important practical value.A dual-mass vibration model was studied in this paper. The self-synchronization theory of the system was studied through theoretical analysis, computer simulation and physical experiment, respectively. The main contents of this paper are as following:(1) Establish the dynamical model of the dual mass vibrating system, the differential equations of systematic motion are derived by applying the Lagrange method, and the conditions of synchronous implementation and stability are derived by utilizing the small parameter average method.(2) Analyze the reason why the system can achieve the self-synchronization and the transition process of non-synchronization to self-synchronization, and the coupling torque of the system which is the origin of self-synchronization is analyzed quantitatively.(3) Analyze the factors affecting the synchronous implementation and stability, and simulate the motor speed difference and motor phase difference when the system is in the synchronization state and in the non-synchronization state, verify that the phase difference of two eccentric blocks is caused by the difference of the rated revolution of two motors.(4) Carry on the model analysis to the vibrating system; get the inherent frequency and vibration model; analyze the reason why the system produces severe vibration and load noises; actually measure the speed and phase difference of two motors by using photoelectric detector and Stroboscopic speedometer, and compared to the results of theoretical analysis.