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| Magnetoelastic resonance of a conductive circular plate rotating with varying velocity under combined parametric and forced excitations |
| LI Zhe HU Yu-da |
1. School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China；
2. Hebei Provincial Key Lab for Mechanical Reliability of Heavy Equipment and Large Structures, Yanshan University, Qinhuangdao 066004, China |
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Abstract Magneto-elastic resonance of a conductive circular plate rotating with varying velocity under combined parametric and forced excitations was investigated. The conductive circular plate was subjected to parametric excitations due to the time-varying rotating speed and magnetic field forces. The magneto-elastic parametric vibration equations of the variable-velocity rotating conductive circular plate were established, its axisymmetric vibration differential equation under combined parametric and forced excitations was obtained through the application of Galerkin method. Then, the multi-scale method was applied to derive two conditions for resonance occurring, two corresponding amplitude-frequency response equations were deduced, respectively. The influences of plate’s coordination parameters, magnetic field parameters, rotating speed and excitations on the vibration performance of the circular plate were studied. Amplitude-parameter curves of two resonance conditions were compared, and the influences of parameters on the system’s stability were discussed. According to the global bifurcation diagram of the system, the influences of changes of bifurcation parameters on the system dynamic characteristics were discussed.
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Received: 27 April 2016
Published: 28 November 2017
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