&nbsp;NONLINEAR RESONANCE OF A CONDUCTIVE ROTATING CIRCULAR PLATE IN MAGNETIC FIELD

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (12) : 177-181.

NONLINEAR RESONANCE OF A CONDUCTIVE ROTATING CIRCULAR PLATE IN MAGNETIC FIELD

HU Yu-da，WANG tong

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Abstract

The nonlinear resonance of a conductive rotating thin circular plate subjected to mechanical loads in magnetic field was investigated. The nonlinear vibration equation about the spinning round plate was derived according to Hamilton principle. Based on the electromagnetic theory, the expressions of electromagnetic forces were derived. According to the set of a displacement function, the magnetoelastic forced vibration differential equation of the round plate was obtained through the application of Galerkin integral method. By mean of averaging method, the amplitude-frequency response equation in steady state was established. The amplitude frequency characteristic curves and the relationship curves of amplitude changing with the magnetic induction intensity, the speed of rotation and the excitation force of the plate with fixed boundary condition were obtained according to the numerical calculation. The influence of different parameters on the amplitude and the nonlinear characteristics of the spinning plate was analyzed finally.

Key words

conductive round plate / rotary motion / primary resonance / magnetic filed / averaging method

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HU Yu-da，WANG tong. NONLINEAR RESONANCE OF A CONDUCTIVE ROTATING CIRCULAR PLATE IN MAGNETIC FIELD[J]. Journal of Vibration and Shock, 2016, 35(12): 177-181

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