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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 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.

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Authors and Affiliations

  1. Yanka Kupala State University of Grodno, 230023, Grodno, Belarus

    I. S. Zeylikovich, A. V. Nikitin & A. E. Vasilevich

Authors
  1. I. S. Zeylikovich
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  2. A. V. Nikitin
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  3. A. E. Vasilevich
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Correspondence to I. S. Zeylikovich.

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The authors declare that there is no conflict of interest.

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Translated by A. Chikishev

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Zeylikovich, I.S., Nikitin, A.V. & Vasilevich, A.E. Excitation and Detection of a Nonlinear Resonance of Oscillations of a Spring–Mass System Using Electromagnetic Induction. Tech. Phys. 65, 1–6 (2020). https://doi.org/10.1134/S1063784220010284

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  • DOI: https://doi.org/10.1134/S1063784220010284

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