Cymatics for the cloaking of flexural vibrations in a structured plate

TL;DR

This paper demonstrates a practical elastic lattice cloak that effectively hides a void from flexural vibrations in a structured plate, combining theoretical design, numerical simulation, and experimental validation.

Contribution

It introduces a novel, easily implementable square lattice cloak for flexural waves, validated through fabrication, experiments, and simulations.

Findings

Effective cloaking within 100-250Hz frequency range

Ease of construction compared to other designs

Successful experimental and numerical validation

Abstract

We present a proof of concept design for a structured square cloak enclosing a void in an elastic lattice, subjected to flexural vibrations. In addition to the theoretical design, we fabricate and experimentally test an elastic invisibility cloak for flexural waves in a mechanical lattice. Further verification and modelling is performed numerically through finite element simulations. The primary advantage of our square lattice cloak, over other designs, is the straightforward implementation and the ease of construction. The elastic lattice cloak shows an impressive efficiency within the predicted frequency range of 100-250Hz.