Details

Autor(en) / Beteiligte

• Rosa, Matheus I N
• Pal, Raj Kumar
• Arruda, José R F
• Ruzzene, Massimo

Titel

Edge States and Topological Pumping in Spatially Modulated Elastic Lattices

Ist Teil von

• Physical review letters, 2019-07, Vol.123 (3), p.034301-034301, Article 034301

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Electronic Journals Library

Beschreibungen/Notizen

• 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.