首页|Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves
Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves
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Fluctuation characteristics and topological interface states in the quasi-periodic structures of shallow-water waves
Compared with periodic structures,quasi-periodic structures have superior band gap properties and topological interface states.In this paper,a one-dimensional quasi-periodic Fibonacci water wave metamaterial model that can be used to apply quasi-periodic structures to shallow-water wave systems is presented.The fluctuation characteristics of periodic and quasi-periodic structures are examined using finite element numerical calculations based on the shallow-water wave equation.The research results show that the band characteristics of quasi-periodic structures are complex,enabling flexible control of the propagation of shallow-water waves.Furthermore,the mirror-symmetrical design of Fibonacci quasi-periodic water wave metamaterials was created to engineer the topological interface states in shallow-water wave systems,ultimately achieving successful localization of wave energy.This research will greatly enrich our understanding of topology,expand the potential applications of quasi-periodic structures,and provide new insights for manipulating water waves and harvesting energy.
Water wave metamaterialquasi-periodic structureFibonacci sequencetopological interface states
Xue Guan、Bo-ya Xiao、Yu Liu、Meng Chen
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College of Mechanical and Electrical Engineering,Hohai University,Changzhou 213200,China
Key Laboratory of Microgravity,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China
Water wave metamaterial quasi-periodic structure Fibonacci sequence topological interface states