Abstract 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… Click to show full abstract
Abstract 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.
               
Click one of the above tabs to view related content.