Abstract <p>The article presents mathematical and simulation models developed to study the processes of mechanical synchronization of induction electric motors with unbalanced rotors mounted on a shared viscoelastic base in transient and steady-state operating modes. The obtained dependences describe the relationship between the amplitude of the speed ripple of an unbalanced electric motor, the eccentricity radius of its rotor, the moment of inertia of the load reduced to its shaft, the synchronous speed of the motor, as well as the eccentricity radius of the adjacent electric motor, which excites vibrations of the base at its natural frequency.</p>