ARTICLE
Spatial synchronization of unbalanced rotors excited with paralleled and counterrotating motors in a far resonance system
Pan Fang 1, 2, 3
,  
Min Zou 1
,  
Huan Peng 1
,  
Mingjun Du 1
,  
Gang Hu 1
,  
 
 
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1
School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
2
Key Laboratory of Oil & Gas Equipment, Ministry of Education, Southwest Petroleum University, Chengdu, China
3
School of Petroleum Engineering, Southwest Petroleum University, Chengdu, China
Online publish date: 2019-07-15
Publish date: 2019-07-15
Submission date: 2018-07-23
Acceptance date: 2019-04-03
 
Journal of Theoretical and Applied Mechanics 2019;57(3):723–738
KEYWORDS
ABSTRACT
Dynamic characteristics of the vibration screening machinery is influenced by synchronization between induction motors. Therefore, estimating the synchronous state between the motors is a crucial process for designing the vibration screening machinery. In this paper, two rotors excited with paralleled and counterrotating motors in a far resonance system are concerned. To master the synchronization of the system, the dynamic model is firstly established; then, the synchronous condition of the system is derived with the Poincare method; subsequently, the synchronous stability of the system is discussed by the Hamilton principle; finally, some computation simulations are implemented to verify correctness of theoretical analysis. The research result shows that the system actuated by rotors of the identical mass is planar motion as the stable phase difference between the rotors is stabilized in the zero phase. The system actuated by nonequivalent mass rotors exhibits spatial motion as the stable phase difference stabilizes in a nonzero phase.
 
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