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MATLAB scripts of the paper "Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization"

DOI:10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v2
The DOI displayed above is for this specific version of this dataset, which is currently the latest. Newer versions may be published in the future. For a link that will always point to the latest version, please use
DOI: 10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3

Datacite citation style

Lenders, Tom; Liu, Lei; Kouznetsova, Varvara (2024): MATLAB scripts of the paper "Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization". Version 2. 4TU.ResearchData. dataset. https://doi.org/10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v2
Other citation styles (APA, Harvard, MLA, Vancouver, Chicago, IEEE) available at Datacite

Dataset

Version 2 - 2024-08-28 (latest)
Version 1 - 2024-07-22

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.

History

  • 2024-07-22 first online
  • 2024-08-28 published, posted

Publisher

4TU.ResearchData

Format

g-zipped shape files

Organizations

TU Eindhoven, Department of Mechanical Engineering

DATA

Files (2)