Two-dimensional ternary locally resonant phononic crystals with a comblike coating

TL;DR

This paper introduces a novel comblike coating scheme for two-dimensional ternary locally resonant phononic crystals, resulting in low-frequency complete bandgaps, validated through finite element calculations and spring-mass modeling.

Contribution

It proposes and investigates a new comblike coating design that enhances bandgap properties in phononic crystals, supported by numerical and analytical analysis.

Findings

Complete low-frequency bandgap achieved

Comblike coating alters band structure effectively

Spring-mass model explains the mechanism

Abstract

Two-dimensional ternary locally resonant phononic crystals used to consist of cylindrical scatterers with uniform coatings in their exterior. An alternative coating scheme with a comblike profile is proposed and investigated in this letter. The band structures are calculated by using the finite element method. It is found that a complete bandgap at a significantly low frequency can be induced. The mechanism for such a change is suggested by using an equivalent spring-mass model based on analyzing the eigen modes at the bandgap edges. Consistent results are obtained from the numerical results and the analysis of the spring-mass model.