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 1. 4TU.ResearchData. dataset. https://doi.org/10.4121/54f21f24-7ca7-41e3-b61e-24f838dcebf3.v1

Version 2 - 2024-08-28 (latest)

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Categories

• Civil Engineering
• Mechanical Engineering
• Condensed Matter Physics
• Materials Engineering
• Applied Mathematics
• Interdisciplinary Engineering
• Engineering
• Physical Sciences
• Mathematical Sciences

Keywords

Computational homogenization Enriched plate Locally resonant acoustic metamaterial plates Structural vibration analysis

Licence

CC BY 4.0

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by Tom Lenders, Lei Liu , Varvara Kouznetsova

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, published, posted

Publisher

4TU.ResearchData

Format

g-zipped shape files

References

• https://doi.org/10.1007/s00466-015-1254-y
• https://doi.org/10.1016/j.cma.2021.114161

Organizations

TU Eindhoven, Department of Mechanical Engineering