To address the existing challenges associated with in-phase synchronization among co-rotating eccentric rotors within multi-motor-driven vibration systems and low vibration isolation efficiency inherent to single-mass systems, this study investigates the synchronization characteristics of a dual-motor-driven anti-resonance system coupled with tension springs. The dynamical equations of the system are derived using Lagrange’s formulation, and steady-state responses are obtained via a transfer function approach. Synchronization conditions and stability criteria are determined by employing an enhanced small parameter averaging method in conjunction with Lyapunov stability theory. The investigation demonstrates that the synchronization performance of the system is highly sensitive to both the stiffness of the tension springs and the geometric position of the excitation motor. It is found that increasing installation distances and larger angles of the motors can significantly enhance synchronization capability. The coupling effect of the tension springs and eccentric rotors facilitates the convergence of the synchronization phase difference to zero, while a moderate reduction in installation distance promotes zero-phase-difference synchronization. Furthermore, the vibration isolation efficiency of the system primarily depends on the excitation frequency and the natural frequency of the working mass, with optimal vibration isolation achieved when the driving frequency aligns with the fundamental frequency of the working mass.
Fang et al. (2026) studied this question.