The associated paper presents a 3D extension of the recently developed computational homogenization method for locally resonant acoustic metamaterial (LRAM) panels. The developed homogenization method provides a powerful computational tool for efficient and accurate analysis of LRAM panels of finite sizes and arbitrary shape under non-trivial excitations.
The method above is implemented in MATLAB and the provided MATLAB scripts include:
1) Calculation of the frequency-independent dynamic effective material properties for a given 3D LRAM unit cell design. Finite element method is employed.
2) Dispersion analysis of an infinite LRAM plate, using plane wave transformation.
3) Frequency domain analysis of a finite LRAM plate, based on harmonic solution assumption. Isogeometric analysis is employed.
4) Transient analysis of a finite LRAM plate. Isogeometric analysis is employed. Time integration is performed using Newmark method.
5) Application for the transient analysis of a large finite LRAM plate with a non-trivial non-harmonic excitation imposed. This analysis would be computationally prohibitive to perform by direct numerical simulation.
Reference solutions for 2) by Bloch analysis in MATLAB and 3-4) by direct numerical simulations in COMSOL are given as well.
" authors: - family-names: Lenders given-names: Tom - family-names: Liu given-names: Lei orcid: "https://orcid.org/0000-0002-7674-567X" - family-names: Kouznetsova given-names: Varvara orcid: "https://orcid.org/0000-0003-0113-6471" title: "MATLAB scripts of the paper "Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization"" keywords: version: 1 identifiers: - type: doi value: 10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v1 license: CC BY 4.0 date-released: 2024-07-22