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Proceedings Paper

Influence of hinge stiffness on the asymmetric wave transport in topological lattices: a parametric study
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Paper 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.

Paper Details

Date Published: 1 April 2019
PDF: 6 pages
Proc. SPIE 10972, Health Monitoring of Structural and Biological Systems XIII, 1097217 (1 April 2019); doi: 10.1117/12.2514193
Show Author Affiliations
Jihong Ma, Univ. of Minnesota (United States)
Di Zhou, Univ. of Michigan (United States)
Kai Sun, Univ. of Michigan (United States)
Xiaoming Mao, Univ. of Michigan (United States)
Stefano Gonella, Univ. of Minnesota (United States)

Published in SPIE Proceedings Vol. 10972:
Health Monitoring of Structural and Biological Systems XIII
Paul Fromme; Zhongqing Su, Editor(s)

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