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Excitation and Detection of a Nonlinear Resonance of Oscillations of a Spring–Mass System Using Electromagnetic Induction

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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.

Keywords: mass system; system; spring mass; detection nonlinear; electromagnetic induction

Journal Title: Technical Physics
Year Published: 2020

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