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This article is cited in 1 scientific paper (total in 1 paper)
Theoretical and Mathematical Physics
Excitation and detection of a nonlinear resonance of oscillations of a spring–mass system using electromagnetic induction
I. S. Zeĭlikovich, A. V. Nikitin, A. E. Vasilevich Yanka Kupala State University of Grodno
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:
nonlinear oscillations, resonance, electromagnetic induction.
Received: 13.02.2019 Revised: 12.04.2019 Accepted: 17.06.2019
Citation:
I. S. Zeǐlikovich, A. V. Nikitin, A. E. Vasilevich, “Excitation and detection of a nonlinear resonance of oscillations of a spring–mass system using electromagnetic induction”, Zhurnal Tekhnicheskoi Fiziki, 90:1 (2020), 5–10; Tech. Phys., 65:1 (2020), 1–6
Linking options:
https://www.mathnet.ru/eng/jtf5398 https://www.mathnet.ru/eng/jtf/v90/i1/p5
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