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


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Resumo

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.

Sobre autores

S. Rekhviashvili

Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences

Autor responsável pela correspondência
Email: rsergo@mail.ru
Rússia, Nalchik, Kabardino-Balkar Republic, 360000

A. Pskhu

Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences

Email: rsergo@mail.ru
Rússia, Nalchik, Kabardino-Balkar Republic, 360000

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