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Shock and Vibration
Volume 2018, Article ID 9821870, 16 pages
Research Article

Nonlinear Resonance Responses of Electromechanical Integrated Magnetic Gear System

School of Mechanical Engineering, Yanshan University, Qinhuangdao, China

Correspondence should be addressed to Deng Pan; moc.anis@6981gnednap

Received 28 September 2017; Revised 28 January 2018; Accepted 6 February 2018; Published 14 March 2018

Academic Editor: Tai Thai

Copyright © 2018 Xiu-hong Hao et al. 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.


Nonlinear differential equations for an electromechanical integrated magnetic gear (EIMG) system are developed by considering the nonlinearity in the magnetic force of the system components. Expressions for the main resonances and superharmonic resonances are obtained for output wave frequencies close to the natural frequency and half the natural frequency of the derived EIMG system. The response laws are discussed in detail. The magnetic coupling stiffness among the components is found to exhibit distinct nonlinearity, leading to strong main resonances and superharmonic resonances. Smaller values of the magnetic coupling stiffness and damping result in larger response amplitudes and transient responses that slowly decay to zero. When the main resonances and superharmonic resonances occur, the dominant frequency of the response is the natural frequency of the derived EIMG system, and the amplitudes of different components of the resonance display large differences.