Complex Band Structure of 2D Piezoelectric Local Resonant Phononic Crystal with Finite Out-Of Plane Extension

In this study, a new type of 2D piezoelectric phononic crystal with a square hollow and convex structures is designed and established. A theoretical study of the piezoelectric phononic crystal is presented in this article to investigate the transmission properties of waves in terms of complex disper...

Full description

Saved in:
Bibliographic Details
Published in:Applied sciences 2022-07, Vol.12 (14), p.7021
Main Authors: Miao, Zhongjian, Li, Jingru, Li, Sheng, Ma, Qingfen
Format: Article
Language:English
Subjects:
Band structure of solids
Broadband
complex wave vector dispersion relationship
Crystal structure
Crystals
elastic wave attenuation
Elastic waves
Electric fields
locally resonant metamaterial
piezoelectric effect
Plane waves
Transmission loss
Wave propagation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, a new type of 2D piezoelectric phononic crystal with a square hollow and convex structures is designed and established. A theoretical study of the piezoelectric phononic crystal is presented in this article to investigate the transmission properties of waves in terms of complex dispersion relations. Based on the finite discretization technique and plane wave expansion, the formula derivation of the real band structure is achieved as well as the complex band diagrams are obtained. The numerical results are presented to demonstrate the multiple broadband complete bandgaps produced by the designed piezoelectric phononic crystal and the propagation characteristics of the elastic waves for different directions. In addition, the transmission loss in the ΓX direction is calculated to verify the band structure. Finally, the effects of the thickness and the square hollow side length on the band structure are discussed.
ISSN:2076-3417
2076-3417
DOI:10.3390/app12147021