Wave transmission in quasi-periodic lattices.

Moscatelli, Marco; Comi, Claudia; Marigo, Jean-Jacques

Moscatelli, Marco; Comi, Claudia; Marigo, Jean-Jacques.

Afiliación

Moscatelli M; Department of Civil and Environmental Engineering, Politecnico di Milano , Milan, Italy.
Comi C; Department of Civil and Environmental Engineering, Politecnico di Milano , Milan, Italy.
Marigo JJ; Laboratoire de Mécanique des Solides, École Polytechnique , Palaiseau, France.

Philos Trans A Math Phys Eng Sci ; 382(2279): 20230351, 2024 Sep 23.

Article en En | MEDLINE | ID: mdl-39129403

ABSTRACT

ABSTRACT

Structural lattices with quasi-periodic patterns possess interesting dynamic features that can be exploited to control, localize and redirect propagating waves. In this work, we show that the properties of a large class of quasi-periodic locally resonant systems (approximated as periodic, with arbitrarily large period) can be performed by defining an equivalent discrete system. Several properties of wave propagation can a priori be demonstrated with reference to this system. Results in terms of bulk spectrum, showing the Hofstadter butterfly pattern, and of topological modes are then discussed in detail with reference to a simple example of quasi-periodic lattice. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 2)'.

Palabras clave

metamaterial; quasi-periodicity; topological modes

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Philos Trans A Math Phys Eng Sci Asunto de la revista: BIOFISICA / ENGENHARIA BIOMEDICA Año: 2024 Tipo del documento: Article País de afiliación: Italia Pais de publicación: Reino Unido

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