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《Journal of Vibration and Shock》 2018-12
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Magnetoelastic ultraharmonic-combination resonance of a rotating circle plate in magnetic field

HU Yuda;QIN Xiaobei;School of Civil Engineering and Mechanics,Yanshan University;Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures of Hebei Province,Yanshan University;  
Aiming at a rotating conductive circle plate in magnetic field,based on the theory of elastic and electromagnetic principle,the kinetic energy,strain energy and electromagnetic forced expressions of rotating plate were obtained. Applied the Hamilton theory,the electroelastic transverse vibration equation of circular plate under the condition of geometric nonlinear was set up. The axisymmetric problem of a circular plate under the dual-frequency excitations in a transverse magnetic field was analyzed,and the non-dimensional differential equation of vibration of the rotating plate was obtained by the Galerkin integral method. The multiscale method was used to solve the nonlinear equation,and the amplitude frequency response equation of the system with ultraharmonic-combination resonance was received,and the stability of steady solution was analyzed. An example was given to show the curves of the resonance amplitude of the rotating circular plate with frequency parameters,magnetic field and force amplitude,and the effects of rotational speed and magnetic field on the steady-state solution were analyzed; by analyzing the trend of the phase trajectory near the singularity on the plot of the moving phase,the multivalue and stability of the steady state solution were further elucidated.
【Fund】: 国家自然科学基金(11472239);; 河北省自然科学基金(A2015203023)
【CateGory Index】: O327
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