Synchronous characteristics of two excited motors in an anti-resonance system

Abstract

The aim of this paper is to research the synchronization of two excited motors in an anti-resonance system. After establishing the dynamic equations of the system by Lagrange equation, the displacement responses of the system and the ability of vibration isolation are determined. And the synchronous condition and synchronous stability criterion of the system are derived by using the average small parameter method and Hamilton's principle, respectively. Moreover, the influences of the structural parameters on synchronous characteristics between the rotors are discussed by numerical analysis. Then, the correctness of theoretical analysis is verified by numerical simulations. The research results show that, the ability of vibration isolation is mainly influenced by frequency ratios of the system; the synchronous ability of the system is improved with the increase of the distance between two motors; meanwhile, the synchronous behavior of the system is closely related to the mounting position and rotation direction between the motors. The research result can provide theory guidance for designing the anti-resonance drilling fluid shakers.