Excitation and detection of a nonlinear resonance of oscillations of a spring–mass system using electromagnetic induction

Nonlinear oscillations and resonances of a spring–mass system are experimentally and theoretically studied. A unified method for excitation, dissipation, and detection of the nonlinear oscillations is based on electromagnetic induction. Typical nonlinear effects (anisochronicity and bistability of oscillations) are revealed in the experiments. A theoretical model of the oscillatory system that leads to the Duffing equation is proposed. Results of analytical solution and numerical simulation are in good agreement with the experimental data.