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Oscillations of a Pendulum Under the Action of Random Pulses

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Stochastic differential equations are used to model of the small random oscillations of a mathematical pendulum under the impacts of fast particles of small mass. The first- and second-order equations for the initial steady-state moments of random oscillations about an adjacent angle have been found.

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Authors and Affiliations

  1. Vadym Hetman Kyiv National Economic University, 54/1 Beresteyskyi Ave, Kyiv, 03057, Ukraine

    S. V. Degtyar & Yu. V. Shusharin

  2. Taras Shevchenko National University of Kyiv, 4e Glushkov Ave, Kyiv, 01033, Ukraine

    Ya. Î. Zhuk

  3. Tymoshenko Institute of Mechanics of the NAS of Ukraine, 3, Nesterov St, Kyiv, 03057, Ukraine

    Ya. Î. Zhuk

Authors
  1. S. V. Degtyar
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  2. Yu. V. Shusharin
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  3. Ya. Î. Zhuk
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Correspondence to S. V. Degtyar.

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Translated from Prikladnaya Mekhanika, Vol. 59, No. 3, pp. 33–41, May–June 2023

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Degtyar, S.V., Shusharin, Y.V. & Zhuk, Y.Î. Oscillations of a Pendulum Under the Action of Random Pulses. Int Appl Mech 59, 284–291 (2023). https://doi.org/10.1007/s10778-023-01220-2

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  • DOI: https://doi.org/10.1007/s10778-023-01220-2

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