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New Method for Describing Damped Vibrations of a Beam with a Built-in End

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Abstract

We propose a method for describing damped vibrations of a beam with a built-in end considering the dynamic hysteresis that determines mechanical energy dissipation due to viscoelasticity. As the mathematical basis, we have used the fractional integro-differentiation apparatus. Rapidly damped vibrations of a foamed polypropylene beam have been studied experimentally. It is shown that the theoretical model successfully describes experimental data.

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Funding

This study was supported by the Russian Foundation for Basic Research (project no 18-51-45005).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, 360000, Nalchik, Kabardino-Balkar Republic, Russia

    S. Sh. Rekhviashvili & A. V. Pskhu

Authors
  1. S. Sh. Rekhviashvili
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  2. A. V. Pskhu
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Corresponding author

Correspondence to S. Sh. Rekhviashvili.

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The authors declare that they have no conflicts of interest.

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Translated by N. Wadhwa

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Rekhviashvili, S.S., Pskhu, A.V. New Method for Describing Damped Vibrations of a Beam with a Built-in End. Tech. Phys. 64, 1237–1241 (2019). https://doi.org/10.1134/S1063784219090135

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  • DOI: https://doi.org/10.1134/S1063784219090135

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