Synchronization investigation of vibration system of two co-rotating rotor with energy balance method

Abstract

The key technology of vibrating screens' design is how to ascertain the synchronous state of vibrating systems. The occurrence of synchronization of a model, two co-rotating rotors fast excited by induction motors installed in a vibrating body, is treated in this article. The synchronization condition and stability criterion of the system are first derived by the energy balance method. The synchronization zones and stable phase difference are then estimated by the two corotating rotors operated in synchronous state. Moreover, the energy balance mechanism of the system is explained. The transfer of energy between the rotors by the vibrating body is presented as well. Finally, numerical studies of the dynamics are performed by Runge-Kutta method to verify the theoretical analysis. The results indicated that the synchronous state of the vibrating system is mainly determined by installation distance coefficient r l , installation angular b, symmetric coefficient d, and electromagnetic torque T ei , but little influenced by mass ratios h and r m .

Synchronization characteristics of a rotor-pendula system in multiple coupling resonant systems

“…Hou et al. 25 described the energy distribution on kinetic components of two rotors in a vibrating system, which is a supplementary study for synchronization of rotor system. In the above-mentioned paper on synchronization of the rotors, the driving motors, as a rule, are directly fixed in a single rigid base, and most investigations are considered as in a far super-resonant system.…”

Helicopter flap/lag energy exchange study

“…Hou et al [17] have studied two co-rotating rotors fast excited by induction motors installed in a vibrating body. The stability criterion and synchronization condition of the system were figured out using the energy balance method.…”

“…Once the exchange of energy will be tested for the coupled flap/lag motion, this system should be analysed according to the studies presented by [13,[16][17][18]. Therefore, a theoretical approach of the problem should be carried out, in order to obtain the Hamilton energy and the results reported by the references [13][14][15] should be taken into account.…”