The article proposes mathematical and simulation models for studying mechanical synchronization processes that occur in asynchronous electric motors with unbalanced rotors, as well as models for studying power losses and thermal processes. As a result, dependencies were obtained that describe the relationship between power losses in the windings of vibration exciter motors, changes in rotor slip and the steady-state temperature of the motor on the one hand, and the eccentricity radius and the rigidity of the oscillating base on the other hand. As the rotor eccentricity radius increased, the phenomenon of frequency locking and the Sommerfeld effect were observed. It has been established that in these modes the total power losses can exceed the losses in the nominal mode by 2-3 times, and the current in the stator winding by 1.5-2.5 times. Experimental studies of the synchronization of oscillations of two engines on a single basis confirmed the good accuracy of the proposed models.
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