New Method for Describing Damped Vibrations of a Beam with a Built-in End
С. Ш. РехвиашвилиInstitute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, 360000, Nalchik, Kabardino-Balkar Republic, RussiaА. В. ПсхуInstitute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, 360000, Nalchik, Kabardino-Balkar Republic, Russia
2019en
ABI
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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Cited by 20 references