Electromagnetic Field in the Chaotic Motion of Thin Plate

Abstract

Based on the vibration equation of beam plate, under mechanical loading in a uniform transverse magnetic field, the vibration equation of the conductive beam plate is reduced to two cases ,which is no-pertubation system and pertubation system. For pertubation system ,n-order harmonic orbit is given by means of the Melnikov method. Finally, the critical condition of chaos phenomena is given in the transformation of Smale horseshoe.