Nonlinear dynamic interaction in a coupled electro-magneto-mechanical system: Experimental study

Abstract

The dynamic experimental response of an electro-magneto-mechanical coupled system excited by a harmonic voltage is addressed. The system mathematical model involves coupling quadratic nonlinearities due to the dependence of the inductance on the displacement of the metallic oscillator mass; as a result, a strongly nonlinear behavior characterizes the system’s dynamic response. In this study we present initial experimental results that confirm the occurrence of interesting main nonlinear phenomena: The non-linear resonance related to the current quadratic nonlinearity which imposes a natural linear resonance at half the frequency of the linear oscillator and a jump, after which the mass of the mechanical oscillator undergoes large amplitude oscillations and coexisting attractors appear.