摘要：In-phase self-synchronization of two eccentric rotors with common rotational axis is hardly implemented in far-
resonance system. In this article, a dual motor coaxially coupling with a torsion spring is proposed to obtain in-
phase synchronization between the eccentric rotors. To explore the dynamic and synchronous characteristics of the
proposed system, the mechanical model is first established with Lagrangian formulation. Second, the steady response of
the system is calculated based on differential motion equations. Subsequently, the synchronous mechanism between the
eccentric rotors is discussed by averaged small parameter method. Finally, some numerical computations are further
implemented to verify correctness of theoretical analysis. The result shows that the synchronous state is determined by
stiffness of torsion spring, masses of eccentric rotors, and distance between the motors. When axial distance between
the motor is smaller, “critical stiffness of in-phase synchronization” is gradually enlarged as the masses of the eccentric
rotors are increased and approached to equality, but in-phase synchronization is permanently maintained when the axial
distance of the motor is far; in this situation, the synchronous state is hardly affected by variation of stiffness of torsion
spring and masses of eccentric rotors. When the stiffness of the torsion spring is smaller, “critical distance r w ðr d Þ of in-
phase synchronization” is also enlarged as the masses of the eccentric rotors are increased and approached to equality;
otherwise, the synchronous state is always locked in in-phase synchronization. When the stiffness of the torsion spring is
smaller, “critical distance r h of anti-phase synchronization” is decreased as the masses of eccentric rotors are increased
and approached to equality; otherwise, the synchronous state is always locked in in-phase synchronization.
