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This article is cited in 9 scientific papers (total in 9 papers)
Theoretical and Mathematical Physics
A new method of describing for vibration damping of a beam built-in at one end
S.Sh. Rekhviashvili, A. V. Pskhu Institute of Applied Mathematics and Automation, Nalchik
Abstract:
We propose a new method of describing for vibration damping of a beam built-in at one end. The method takes into account dynamic hysteresis, which determines the dissipation of mechanical energy due to viscoelasticity. As a mathematical tool, we use fractional integro-differentiation. Experimental studies of rapidly damped vibrations of a foam polypropylene beam have been carried out. It is shown that the theoretical model successfully describes the experimental results.
Keywords:
elastic beam, free damped oscillations, viscous damping, fractional integro-differentiation, fractional oscillator.
Received: 17.07.2018 Revised: 17.02.2019 Accepted: 19.03.2019
Citation:
S.Sh. Rekhviashvili, A. V. Pskhu, “A new method of describing for vibration damping of a beam built-in at one end”, Zhurnal Tekhnicheskoi Fiziki, 89:9 (2019), 1314–1318; Tech. Phys., 64:9 (2019), 1237–1241
Linking options:
https://www.mathnet.ru/eng/jtf5507 https://www.mathnet.ru/eng/jtf/v89/i9/p1314
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Abstract page: | 86 | Full-text PDF : | 28 |
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