Nonlinear Mathematical Models of Metamaterials Defined as “Mass-in-Mass” and “Damper-in-Mass” Chains
Daniil A. Kolesov, Vladimir I. Erofeev, Alexey O. Malkhanov, Ashot V. Shekoyandownload PDF
Abstract. To describe dynamic processes in an acoustic (mechanical) metamaterial, there are proposed models that are a one-dimensional chain containing the same masses connected by linearly elastic (or nonlinearly elastic) elements (springs) with the same stiffness. In this case, it is assumed that each mass contains inside itself a series connection of another mass and an elastic element or viscous element (damper).
Metamaterial, Chains of Elastic and Viscoelastic Elements, Nonlinearity, Deformation
Published online 1/5/2022, 7 pages
Copyright © 2022 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Daniil A. Kolesov, Vladimir I. Erofeev, Alexey O. Malkhanov, Ashot V. Shekoyan, Nonlinear Mathematical Models of Metamaterials Defined as “Mass-in-Mass” and “Damper-in-Mass” Chains, Materials Research Proceedings, Vol. 21, pp 384-390, 2022
The article was published as article 65 of the book Modern Trends in Manufacturing Technologies and Equipment
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