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Modified Asymptotic Method of Studying the Mathematical Model of Nonlinear Oscillations Under the Impact of a Moving Environment

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Book cover Advances in Intelligent Systems and Computing IV (CSIT 2019)

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Abstract

Wave theory of movement is used to study the mathematical model of a physical system which describes oscillations of a one-dimensional elastic body under the impact of a moving continuous flow of a homogeneous environment. This model accounts for nonlinear elastic properties of the body at transverse oscillations, as well as environment density and movement velocity. Oscillation amplitude and frequency variation laws in nonresonant modes and under the impact of harmonic perturbation are obtained. Variation laws of the aforesaid parameters are defined by geometrical characteristics of the elastic body, physical and mechanical properties of the material, the velocity of the moving environment, the angular velocity of elastic body rotation, and external factors.

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Author information

Authors and Affiliations

  1. Department of Computational Mathematics and Programming, Lviv Polytechnic National University, Lviv, Ukraine

    Petro Pukach

  2. Department of Mathematics, Lviv Polytechnic National University, Lviv, Ukraine

    Volodymyr Il’kiv, Zinovii Nytrebych & Myroslava Vovk

  3. Department of Artificial Intelligence Systems, Lviv Polytechnic National University, Lviv, Ukraine

    Pavlo Pukach

Authors
  1. Petro Pukach
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  2. Volodymyr Il’kiv
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  3. Zinovii Nytrebych
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  4. Myroslava Vovk
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  5. Pavlo Pukach
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Correspondence to Petro Pukach .

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Editors and Affiliations

  1. Department of Artificial Intelligence, Lviv Polytechnic National University, Lviv, Ukraine

    Natalya Shakhovska

  2. Institute of Computer Science and Information Technologies, Lviv Polytechnic National University, Lviv, Ukraine

    Mykola O. Medykovskyy

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Pukach, P., Il’kiv, V., Nytrebych, Z., Vovk, M., Pukach, P. (2020). Modified Asymptotic Method of Studying the Mathematical Model of Nonlinear Oscillations Under the Impact of a Moving Environment. In: Shakhovska, N., Medykovskyy, M.O. (eds) Advances in Intelligent Systems and Computing IV. CSIT 2019. Advances in Intelligent Systems and Computing, vol 1080. Springer, Cham. https://doi.org/10.1007/978-3-030-33695-0_7

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