Metadamping: An emergent phenomenon in dissipative metamaterials

TL;DR

This paper introduces the concept of metadamping in dissipative metamaterials, showing that local resonances can enhance overall damping beyond traditional mechanisms, with potential implications for vibration control.

Contribution

It theoretically demonstrates how local resonances in dissipative metamaterials lead to emergent damping phenomena, expanding understanding of wave dissipation mechanisms.

Findings

Locally resonant metamaterials exhibit higher damping than non-resonant systems.

Damping emergence is linked to the wave speed of sound and static stiffness.

The study quantifies how local resonance enhances dissipation.

Abstract

We theoretically demonstrate the concept of metadamping in dissipative metamaterials. We consider an infinite mass-spring chain with repeated local resonators and a statically equivalent periodic chain whose wave propagation characteristics are based on Bragg scattering. For each system we introduce identical viscous damping (dashpot) elements and compare the damping ratio associated with all Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation overall which indicates a damping emergence phenomena due to the presence of local resonance. We conclude our investigation by quantifying the degree of emergent damping as a function of the long-wave speed of sound in the medium or the static stiffness.