One-dimensional metastructures composed of cables with scatter masses: waves, vibrations and band gaps

One-dimensional metastructures composed of cables with scatter masses: waves, vibrations and band gaps

Marco Moscatelli, Claudia Comi, Jean-Jacques Marigo

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Abstract. This work analyzes the dynamic behavior of structural elements that can be modelled as taut cables with a discrete array of punctual attached and hanging masses. The propagation of mechanical waves is strongly influenced by the presence of such scatter elements. We found that the problem is governed by a discrete equation, whose solutions depend on the behavior of an equivalent mass density, that varies with frequency. The spectrum of the problem is characterized by the presence of band gaps. This behavior is generally exploited for the design of metastructures. A parametric study of the equivalent mass is finally given.

Keywords
Metamaterials, Cable Dynamics, Wave Attenuation

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Marco Moscatelli, Claudia Comi, Jean-Jacques Marigo, One-dimensional metastructures composed of cables with scatter masses: waves, vibrations and band gaps, Materials Research Proceedings, Vol. 26, pp 523-528, 2023

DOI: https://doi.org/10.21741/9781644902431-85

The article was published as article 85 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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