TY - DATA
T1 - MATLAB scripts of the paper "Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization"
PY - 2024/07/22
AU - Tom Lenders
AU - Lei Liu
AU - Varvara Kouznetsova
UR - 
DO - 10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v1
KW - Computational homogenization
KW - Locally resonant acoustic metamaterial plates
KW - Enriched plate
KW - Structural vibration analysis
N2 - <p>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&nbsp;of LRAM panels of finite sizes and arbitrary shape under non-trivial excitations.</p><p><br></p><p>The method above is implemented in MATLAB and the provided MATLAB scripts include:</p><p>1) Calculation of the frequency-independent dynamic effective material properties for a given 3D LRAM unit cell design. Finite element method is employed.</p><p>2) Dispersion analysis of an infinite LRAM plate, using plane wave transformation.</p><p>3) Frequency domain analysis of a finite LRAM plate, based on harmonic solution assumption. Isogeometric analysis is employed.</p><p>4) Transient analysis of a finite LRAM plate. Isogeometric analysis is employed. Time integration is performed using Newmark method.&nbsp;</p><p>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.</p><p>Reference solutions for 2) by Bloch analysis in MATLAB and 3-4) by direct numerical simulations in COMSOL are given as well.</p>
ER -