Steering in-plane shear waves with inertial resonators in platonic crystals

TL;DR

This paper demonstrates how inertial resonators can be used to control in-plane shear wave propagation in plates, creating band gaps and enabling advanced wave manipulation functionalities.

Contribution

It introduces a novel inertial resonator design that achieves a complete low-frequency band gap and explores asymmetric twisting vibrations for elastic wave control.

Findings

Complete low-frequency band gap achieved

Asymmetric twisting vibrations characterized

Potential for focusing and self-collimation in plates

Abstract

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments. It is shown that such a configuration exhibits a complete band gap in the low frequency regime. As a byproduct, we further describe the asymmetric twisting vibration of a single scatterer via modal analysis, dispersion and transmission loss. This might pave the way to new functionalities such as focusing and self-collimation in elastic plates.