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Shock and Vibration
Volume 2014, Article ID 835104, 13 pages
Research Article

The Combined Internal and Principal Parametric Resonances on Continuum Stator System of Asynchronous Machine

1School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
2Tianjin Key Laboratory of High Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China

Received 31 March 2014; Accepted 30 July 2014; Published 22 December 2014

Academic Editor: Dumitru I. Caruntu

Copyright © 2014 Baizhou Li and Qichang Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the increasing requirement of quiet electrical machines in the civil and defense industry, it is very significant and necessary to predict the vibration and noise characteristics of stator and rotor in the early conceptual phase. Therefore, the combined internal and principal parametric resonances of a stator system excited by radial electromagnetic force are presented in this paper. The stator structure is modeled as a continuum double-shell system which is loaded by a varying distributed electromagnetic load. The nonlinear dynamic equations are derived and solved by the method of multiple scales. The influences of mechanical and electromagnetic parameters on resonance characteristics are illustrated by the frequency-response curves. Furthermore, the Runge-Kutta method is adopted to numerically analyze steady-state response for the further understanding of the resonance characteristics with different parameters.