Self-synchronization and self-balancing characteristics of a space two rotor system
Wenchao Hu, Xueliang Zhang, Siyuan Yi, Haijun Wang, Bangchun Wen
Abstract
For the problem of reducing unfavorable vibrations stemming from unbalanced rotors in rotor dynamic systems, a dynamic model consisting of two space rotors and a rigid frame is proposed. Delving into the self-balancing characteristics of the system based on the principle of self-synchronization aims to reduce the dynamic loads transmitted to the foundation due to the unbalanced rotor while concurrently reducing noise pollution. Firstly, vibration synchronization theory including self-synchronization and stability is formulated using average methods, Lyapunov theory, and the Kronecker product. Then, the impact of crucial dynamic parameters, such as the mass, axial distance, and initial phase of the unbalanced point, on the stable synchronization states and self-balancing properties in specific resonance regions of the system is qualitatively analyzed. Moreover, simulations are carried out to investigate dynamic characteristics and verify the accuracy of the numerical qualitative analysis results. Through phase portraits, the stability of essential synchronization states is examined. Results show that the self-balance of the system in partial degrees of freedom can be achieved in the first sub-resonance region for specific rotor configurations, and the corresponding synchronous state is not affected by the initial value and velocity of the phase difference. This research serves as a reference for the self-synchronization theory of space rotors and provides a novel scheme for the problem of vibration suppression in rotor dynamic systems.