Influence of hinge stiffness on the asymmetric wave transport in topological lattices: A parametric study

Jihong Ma, Di Zhou, Kai Sun, Xiaoming Mao, Stefano Gonella

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Zero-energy topological oppy edge modes have been demonstrated in families of kagome lattices with geometries that differ from the regular case composed of equilateral triangles. In this work, we explore the behavior of these systems in the limit of continuum elasticity, which is established when the ideal hinges that appear in the idealized models are replaced by ligaments capable of supporting bending deformation, as observed in realistic physical lattices. Under these assumptions, the oppy edge modes are preserved but shifted to finite frequencies, where they spectrally overlap with the acoustic bulk modes. The net result is the establishment of a relatively broad low-frequency regime over which the lattices display strong asymmetric wave transport capabilities. By simply varying the thickness of the ligament of the unit cell, we can obtain a variety of lattices with different localization capabilities. Through theoretical analysis and finite element simulations, we parametrically explore the localization capabilities of different configurations, thus establishing a qualitative relation between the topological descriptors of the unit cell and the effective global transmission properties of the lattice. Using simple elasticity arguments, we provide a mechanistic rationale for the observed range of behaviors. Our study has implications for the design of mechanical filters, structural logic components, and acoustic metamaterials for wave manipulation at large.

Original languageEnglish (US)
Title of host publicationHealth Monitoring of Structural and Biological Systems XIII
EditorsPaul Fromme, Zhongqing Su
PublisherSPIE
ISBN (Electronic)9781510625990
DOIs
StatePublished - Jan 1 2019
EventHealth Monitoring of Structural and Biological Systems XIII 2019 - Denver, United States
Duration: Mar 4 2019Mar 7 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10972
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceHealth Monitoring of Structural and Biological Systems XIII 2019
CountryUnited States
CityDenver
Period3/4/193/7/19

Keywords

  • Kagome lattice
  • Topological floppy edge modes
  • Topological metamaterials
  • Wave propagation

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    Ma, J., Zhou, D., Sun, K., Mao, X., & Gonella, S. (2019). Influence of hinge stiffness on the asymmetric wave transport in topological lattices: A parametric study. In P. Fromme, & Z. Su (Eds.), Health Monitoring of Structural and Biological Systems XIII [1097217] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10972). SPIE. https://doi.org/10.1117/12.2514193