Parametric-primary resonance of current-carrying ferromagnetic beam in coupled magnetic-temperature fields

A differential equation is derived to analyze the current-carrying ferromagnetic beam in coupled magnetic-temperature fields by means of Galerkin method. Melnikov´s function is used to get the necessary critical condition for the chaotic motion of the system in primary resonance. In this system, the phenomenon of chaotic motion couldn´t be found. Based on the multiple scales method for nonlinear vibration analysis, the first approximation solutions and the stability corresponding to steady state solutions of the parametric-primary resonance system are obtained. Numerical analysis results show that the temperature can change the internal frequency and the value of amplitude obviously.