DYNAMIC STABILITY AND BIFURCATION OF AN ALTERNATING LOAD AND MAGNETIC-FIELD EXCITED MAGNETOELASTIC BEAM

A mechanical model of a magnetoelastic buckled beam subjected to an ex ternal axial periodic force in a periodic transversal magnetic field i s investigated. Taking account of the effect of induced currents, the model is described by a two-frequency parametric vibration system with self-excitation. The method of multiple scales and qualitative analys is are used to study the dynamic behaviours and stabilities of steady slate responses, limit cycle responses and T-2 responses of the princi pal parametric resonance. These theoretical results are verified by nu merical solutions using the fourth order Runge-Kutta algorithm.