Topological state transfer in Kresling origami

Abstract

Topological mechanical metamaterials have been widely explored for their boundary states, which can be robustly isolated or transported in a controlled manner. However, such systems often require pre-configured design or complex active actuation for wave manipulation. Here, we present the possibility of in-situ transfer of topological boundary modes by leveraging the reconfigurability intrinsic in twisted origami lattices. In particular, we employ a dimer Kresling origami system consisting of unit cells with opposite chirality, which couples longitudinal and rotational degrees of freedom in elastic waves. The quasi-static twist imposed on the lattice alters the strain landscape of the lattice, thus significantly affecting the wave dispersion relations and the topology of the underling bands. This in turn facilitates an efficient topological state transfer from one edge to the other. This simple and practical approach of energy transfer in origami-inspired lattices can thus inspire a new class of efficient energy manipulation devices.

Duality of Topological Edge States in a Mechanical Kitaev Chain

“…However, the duality in this work relates to the isospectral nature of topologically distinct finite chains with different boundaries. This duality does not appear in other mechanical lattices that support finitefrequency edge states, such as Su-Schrieffer-Heeger inspired 1D spring-mass model [29], or 1D chains with chiral cells [30,31]. We speculate that this duality is connected with the nature of our lattice with coupled degrees of freedom, and the corresponding symmetry group, Z 2 , which both finite chains support.…”