Experimental evaluation of viscous damping coefficient in the fractional underdamped oscillator
2016; SAGE Publishing; Volume: 8; Issue: 4 Linguagem: Inglês
10.1177/1687814016643068
ISSN1687-8140
AutoresJ. E. Escalante-Martínez, J.F. Gómez‐Aguilar, C. Calderón-Ramón, Luis J. Morales-Mendoza, Ines Cruz-Orduña, JR Laguna-Camacho,
Tópico(s)Nonlinear Dynamics and Pattern Formation
ResumoIn this article, we obtain the viscous damping coefficient β theoretically and experimentally in the spring–mass–viscodamper system. The calculation is performed to obtain the quasi-period τ. The influence of the viscosity of the fluid and the damping coefficient is analyzed using three fluids, water, edible oil, and gasoline engine oil SAE 10W-40. These processes exhibit temporal fractality and non-local behaviors. Our general non-local damping model incorporates fractional derivatives of Caputo type in the range [Formula: see text], and the viscous damping coefficients are determined in terms of the inverse Mittag-Leffler function. The classical models are recovered when the order of the fractional derivatives is equal to 1.
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