ANALYSIS OF MAGNEOT-ELASTIC PRINCIPAL RESONANCE OF AXIALLY MOVING CURRENT-CARRING BEAMS IN MAGNETIC FIELD

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (23) : 65-73.

Wang Jie， Hu yu-da

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Abstract

The magneto-elastic resonance of axially moving current-carrying beams in magnetic field was investigated. With the geometric nonlinearity and the interaction in force, motion, electric and magnetic considered, the expressions of kinetic energy, strain energy and electro-magnetic force was derived. Then the Hamilton princile was applied to the vibration equation of the axially moving current-carrying beam in magnetic field. According to the simply supported boundary condition and assuming the third-order modal shape function, the magneto-elastic vibration differential equation of beams was obtained through the application of Galerkin integral method. Based on the method of multiple-scale, the principal resonance amplitude-frequency response equation of external excitation and applied current interaction system were gained. Influence of the magnetic field strength, the applied current, axial velocity, external motivation on the amplitude of system resonance was analyzed. The results show that in the curve of amplitude-intensity of magnetic field, with the increase of tuning parameters resonance, the curve gradually retracted and its upper final closed, the critical separation point "shifted" to the right by the applied current in this process.

Key words

magneto-elastic / conductive beam / primary resonance / axially moving / alternating current / multiple-scale

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Wang Jie， Hu yu-da. ANALYSIS OF MAGNEOT-ELASTIC PRINCIPAL RESONANCE OF AXIALLY MOVING CURRENT-CARRING BEAMS IN MAGNETIC FIELD[J]. Journal of Vibration and Shock, 2016, 35(23): 65-73

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