Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm

Genetic algorithm (GA) is used for the topological optimization of phononic crystal thin plate composed of aluminum and epoxy resin. Plane wave expansion (PWE) method is used for calculations of band gaps. Fourier displacement property is used to calculate the structure function in PWE. The crossove...

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Autores principales: Han, X. K., Zhang, Z.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6554466/
https://www.ncbi.nlm.nih.gov/pubmed/31171834
http://dx.doi.org/10.1038/s41598-019-44850-8
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author Han, X. K.
Zhang, Z.
author_facet Han, X. K.
Zhang, Z.
author_sort Han, X. K.
collection PubMed
description Genetic algorithm (GA) is used for the topological optimization of phononic crystal thin plate composed of aluminum and epoxy resin. Plane wave expansion (PWE) method is used for calculations of band gaps. Fourier displacement property is used to calculate the structure function in PWE. The crossover rate and the mutation rate are calculated according to the adaptive GA method. Results indicate that filling rates, symmetry, polymerization degree and material parameters are key factors for design of topological configurations. The relations between the key factors and different topologies are studied in detail.
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spelling pubmed-65544662019-06-14 Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm Han, X. K. Zhang, Z. Sci Rep Article Genetic algorithm (GA) is used for the topological optimization of phononic crystal thin plate composed of aluminum and epoxy resin. Plane wave expansion (PWE) method is used for calculations of band gaps. Fourier displacement property is used to calculate the structure function in PWE. The crossover rate and the mutation rate are calculated according to the adaptive GA method. Results indicate that filling rates, symmetry, polymerization degree and material parameters are key factors for design of topological configurations. The relations between the key factors and different topologies are studied in detail. Nature Publishing Group UK 2019-06-06 /pmc/articles/PMC6554466/ /pubmed/31171834 http://dx.doi.org/10.1038/s41598-019-44850-8 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Han, X. K.
Zhang, Z.
Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title_full Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title_fullStr Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title_full_unstemmed Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title_short Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm
title_sort topological optimization of phononic crystal thin plate by a genetic algorithm
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6554466/
https://www.ncbi.nlm.nih.gov/pubmed/31171834
http://dx.doi.org/10.1038/s41598-019-44850-8
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