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Dynamics of Flexible Elements of a Drive under the Action of Impulsive Perturbations

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For flexible elements of drives characterized by a constant speed of longitudinal motion, we propose a method for the analytic investigation of vibrations caused by the action of a periodic system of impulsive perturbations. On the basis of this method, we obtain analytic relations for the description of the determining parameters of nonlinear vibrations in the analyzed class of systems for both nonresonance and resonance cases. It is shown that, in the resonance case, the value of the amplitude of transition through the resonance strongly depends on the speed of longitudinal motion of the flexible element.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv, Ukraine

    A. I. Andrukhiv & M. B. Sokil

  2. Hetman P. Sahaidachnyi National Army Academy, Lviv, Ukraine

    N. M. Huzyk & B. I. Sokil

Authors
  1. A. I. Andrukhiv
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  2. N. M. Huzyk
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  3. B. I. Sokil
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  4. M. B. Sokil
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Correspondence to A. I. Andrukhiv.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 64, No. 4, pp. 124–132, October–December, 2021.

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Andrukhiv, A.I., Huzyk, N.M., Sokil, B.I. et al. Dynamics of Flexible Elements of a Drive under the Action of Impulsive Perturbations. J Math Sci 279, 270–281 (2024). https://doi.org/10.1007/s10958-024-07010-6

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  • DOI: https://doi.org/10.1007/s10958-024-07010-6

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