Elastic Metamaterials With Low Frequency Passbands Based on Lattice System With On Site Potential

Abstract

An elastic metamaterial with a lowfrequency passband is proposed by imitating a lattice system with linear onsite potential. It is shown that waves can only propagate in the tunable passband. Then, two kinds of elastic metamaterials with double passbands are designed. Great wave attenuation performance can be obtained at frequencies between the two passbands for locally resonant type metamaterials, and at both low and high frequencies for the diatomic type metamaterials. Finally, the strategy to design twodimensional (2D) metamaterials is demonstrated. The present method can be used to design new types of smallsize waveguides, filters, and other devices for elastic waves.