%0 Generic
%A Lenders, Tom
%A Liu, Lei
%A Kouznetsova, Varvara
%D 2024
%T MATLAB scripts of the paper "Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization"
%U 
%R 10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v2
%K Computational homogenization
%K Locally resonant acoustic metamaterial plates
%K Enriched plate
%K Structural vibration analysis
%X <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>
%I 4TU.ResearchData