Analytical dispersion curves and bandgap boundaries for quadrilateral lattices

DOI10.1016/j.euromechsol.2022.104835OpenAlexW4308037373MaRDI QIDQ2102640

Yingli Li, Gengwang Yan, Xuening Wang

Publication date: 29 November 2022

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2022.104835

zbMATH Keywords

eigenmodebandgapvibration attenuationquadrilateral periodic lattice

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Phononic properties of hexagonal chiral lattices
• Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting
• Homogenization and equivalent in-plane properties of two-dimensional periodic lattices
• Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics
• Shape transformers for phononic band gaps tuning in two-dimensional Bloch-periodic lattice structures