Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/340810
Type: Artigo
Title: Edge states and topological pumping in spatially modulated elastic lattices
Author: Rosa, Matheus I. N.
Pal, Raj Kumar
Arruda, Jose R. F.
Ruzzene, Massimo
Abstract: Spatial stiffness modulations defined by the sampling of a two-dimensional surface provide one-dimensional elastic lattices with topological properties that are usually attributed to two-dimensional crystals. The cyclic modulation of the stiffness defines a family of lattices whose Bloch eigenmodes accumulate a phase quantified by integer valued Chern numbers. Nontrivial gaps are spanned by edge modes in finite lattices whose location is determined by the phase of the stiffness modulation. These observations drive the implementation of a topological pump in the form of an array of continuous elastic beams coupled through a distributed stiffness. Adiabatic stiffness modulations along the beams' length lead to the transition of localized states from one boundary, to the bulk and, finally, to the opposite boundary. The first demonstration of topological pumping in a continuous elastic system opens new possibilities for its implementation on elastic substrates supporting surface acoustic waves, or to structural components designed to steer waves or isolate vibrations
Subject: Mecânica clássica
Country: Estados Unidos
Editor: American Physical Society
Rights: Aberto
Identifier DOI: 10.1103/PhysRevLett.123.034301
Address: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.034301
Date Issue: 2019
Appears in Collections:FEM - Artigos e Outros Documentos

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