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Mathematic Modeling
Modeling of a nonlinear oscillator with collisions
V. V. Narozhnov Laboratory of the Automation of Measurements, Institute of Applied Mathematics and Automation, 89A, Shortanova Street, Nalchik, 360000, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In present work the equation of the oscillator with collisions, which is described under the Hertz contact theory is solved numerically. The computational experiment showed that on the overall oscillations, excited by an external force, are imposed the damped oscillations at a higher frequency, which correspond to elastic collisions of the oscillator. Wavelet transform of the numerical solution of oscillator equation and the experimental results obtained with the measuring stand was performed. Wavelet analysis of complex acoustic signals allows to detect small-scale features that are important for the interpretation of the experiment.
Keywords:
mathematical modeling, nonlinear oscillator, numerical solution of differential equations, wavelet analysis.
Received: 21.02.2018
Citation:
V. V. Narozhnov, “Modeling of a nonlinear oscillator with collisions”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:1 (2018), 25–33
Linking options:
https://www.mathnet.ru/eng/vsgu566 https://www.mathnet.ru/eng/vsgu/v24/i1/p25
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Abstract page: | 240 | Full-text PDF : | 226 | References: | 16 |
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