Analytical dispersion curves and bandgap boundaries for quadrilateral lattices
type: Item
instance of: scholarly article
title: Analytical dispersion curves and bandgap boundaries for quadrilateral lattices
author: Yingli Li
author: Xuening Wang
author: Gengwang Yan
published in: European Journal of Mechanics. A. Solids
publication date: 2022-11-29T00:00:00Z
review text: In this paper the bandgap characteristics of the two dimensional quadrilateral lattice structures with different configurations are studied. Explicit expressions of dispersion curves are obtained analytically. The authors analyze the relative movement forms corresponding to different dispersion curves by eigenmodes. The dispersion curves are constructed by connecting the points with the same eigenmodes. This study on the bandgap of quadrilateral lattices can provide guidance for the design of the periodic lattice structures for vibration attenuation as well.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 82C20
Mathematics Subject Classification ID: 37K60
zbMATH DE Number: 7624622
zbMATH Keywords: quadrilateral periodic lattice
zbMATH Keywords: bandgap
zbMATH Keywords: eigenmode
zbMATH Keywords: vibration attenuation
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2022.104835
OpenAlex ID: W4308037373
cites work: Shape transformers for phononic band gaps tuning in two-dimensional Bloch-periodic lattice structures
cites work: Homogenization and equivalent in-plane properties of two-dimensional periodic lattices
cites work: Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting
cites work: Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics
cites work: Phononic properties of hexagonal chiral lattices
DOI: 10.1016/J.EUROMECHSOL.2022.104835
description: scientific article; zbMATH DE number 7624622