Abstract
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 [Formula: see text] 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 [Formula: see text] 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.
Highlights
The phenomenon of synchronization refers to the realization of similar or identical forms of motion or physical forms of things or observed objects.[1]
Lian et al.[21] employed the harmonic tool in finite element method (FEM) software to study the dynamic stress of the gears during start and steady state, and the results show that the stress maximum in the start state is far larger than that in steady state
Through studying the synchronous mechanism of the dual-exciter vibration system coupling through a torsion spring, the following important conclusions should be stressed: 1. The synchronous behavior of this system is mainly determined by the stiffness of torsion spring, the installation distance between the motors, and the mass of the eccentric rotors (ERs)
Summary
The phenomenon of synchronization refers to the realization of similar or identical forms of motion or physical forms of things or observed objects.[1]. The stable phase difference is subjected to the mass of ERs, mass of rigid frame, eccentric radius, damping, stiffness of torsion spring, distance, and synchronous velocity between the motors.
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