Open AccessSynchronized Vibration Transition of Three Exciters in Non-resonant Vibration System
Author(s) -
Nan Zhang,
Junling Zhang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1237/4/042072
Subject(s) - vibration , bifurcation , control theory (sociology) , equilibrium point , lyapunov function , stability (learning theory) , differential equation , synchronization (alternating current) , physics , mathematics , mathematical analysis , computer science , acoustics , nonlinear system , topology (electrical circuits) , control (management) , quantum mechanics , artificial intelligence , machine learning , combinatorics
The synchronized vibration transition has been proposed in the non-resonant vibration system with three exciters. Based on former man, the movement equations of self-synchronous vibration system with three rotors are replaced by differential equation of phase difference angle first, and the necessary conditions of synchronous movement for system are analyzed, stability and bifurcation of equilibrium points of vibration system are discussed. Firstly, dynamics model are established, differential equation of phase difference angle is deduced based on the dynamics equation of the vibration system. Then, the necessary conditions of synchronous movement are established, stability and bifurcation of equilibrium points of vibration system are discussed using Lyapunov theories. Finally, the effects of system parameters on synchronization stability about self-synchronous vibration system are investigated with numerical simulations.