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In this work, we analyzed theoretically and experimentally the nonlineardynamics of a magnetic pendulum driven by a coil-magnet interaction. The forcebetween the magnetic elements and the resulting torque on the pendulum arederived using both the magnetic charges interaction model and theexperimentally fitted interaction model. This enables the comparison betweenthe two models. The current in the coil is taken first as a sinusoidal currentand then as a square current. The comparison of the structure of eachinteraction model is conducted and it appears that they give qualitativelysimilar characteristics. The harmonic balance method is used to approximate thefrequency responses of the pendulum leading to both symmetric and asymmetric orone-side (intrawell) oscillations. The two-parameters bifurcation diagrams areplotted showing the different dynamical behaviors considering the currentamplitude and frequency as the control parameters. Good agreements are foundbetween our theoretical results and experimental ones.

mechanical systems and signal processing

Analysis of the nonlinear dynamics of a single pendulum driven by a  magnetic field using the magnetic charges interaction model and the  experimentally fitted interaction model