Inverse design of topological metaplates for flexural waves with machine learning

The mechanical analog to the topological insulators brings anomalous elastic wave properties which diversifies classic wave functions for potential broad applications. To obtain topological mechanical wave states with good quality at desired frequency ranges, it needs repetitive trials of different...

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Main Authors: Liangshu He, Zhihui Wen, Yabin Jin, Daniel Torrent, Xiaoying Zhuang, Timon Rabczuk
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Materials & Design
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127520309266
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author Liangshu He
Zhihui Wen
Yabin Jin
Daniel Torrent
Xiaoying Zhuang
Timon Rabczuk
author_facet Liangshu He
Zhihui Wen
Yabin Jin
Daniel Torrent
Xiaoying Zhuang
Timon Rabczuk
author_sort Liangshu He
collection DOAJ
description The mechanical analog to the topological insulators brings anomalous elastic wave properties which diversifies classic wave functions for potential broad applications. To obtain topological mechanical wave states with good quality at desired frequency ranges, it needs repetitive trials of different geometric parameters with traditional forward designs. In this work, we develop an inverse design of topological edge states for flexural wave using machine learning method which is promising for instantaneous design. Nonlinear mapping function from input targets to output desired parameters are adopted in artificial neural networks where the data sets for training are generated by the plane wave expansion method. Topological edge states are then realized and compared for different bandgap width conditions with such inverse designs, proving that wide bandgap can promote the confinement of the topological edge states. Finally, direction selective propagations with sharp turns are further demonstrated as anomalous wave behaviors. The machine learning inverse design of topological states for flexural wave provides an efficient way to design practical devices with targeted needs for potential applications such as signal processing, sensing and energy harvesting.
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spelling doaj.art-a70d19d1081444419978c829cee68e742022-12-21T23:15:21ZengElsevierMaterials & Design0264-12752021-02-01199109390Inverse design of topological metaplates for flexural waves with machine learningLiangshu He0Zhihui Wen1Yabin Jin2Daniel Torrent3Xiaoying Zhuang4Timon Rabczuk5School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092 Shanghai, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, 200092 Shanghai, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, 200092 Shanghai, China; Corresponding author.GROC-UJI, Institut de Noves Tecnologies de la Imatge, Universitat Jaume I, 12080 Castello, SpainDepartment of Geotechnical Engineering, College of Civil Engineering, Tongji University, 200092 Shanghai, China; Institute of Photonics, Department of Mathematics and Physics, Leibniz University Hannover, GermanyInstitute of Structural Mechanics, Bauhaus-Universität Weimar, Weimar D-99423, GermanyThe mechanical analog to the topological insulators brings anomalous elastic wave properties which diversifies classic wave functions for potential broad applications. To obtain topological mechanical wave states with good quality at desired frequency ranges, it needs repetitive trials of different geometric parameters with traditional forward designs. In this work, we develop an inverse design of topological edge states for flexural wave using machine learning method which is promising for instantaneous design. Nonlinear mapping function from input targets to output desired parameters are adopted in artificial neural networks where the data sets for training are generated by the plane wave expansion method. Topological edge states are then realized and compared for different bandgap width conditions with such inverse designs, proving that wide bandgap can promote the confinement of the topological edge states. Finally, direction selective propagations with sharp turns are further demonstrated as anomalous wave behaviors. The machine learning inverse design of topological states for flexural wave provides an efficient way to design practical devices with targeted needs for potential applications such as signal processing, sensing and energy harvesting.http://www.sciencedirect.com/science/article/pii/S0264127520309266
spellingShingle Liangshu He
Zhihui Wen
Yabin Jin
Daniel Torrent
Xiaoying Zhuang
Timon Rabczuk
Inverse design of topological metaplates for flexural waves with machine learning
Materials & Design
title Inverse design of topological metaplates for flexural waves with machine learning
title_full Inverse design of topological metaplates for flexural waves with machine learning
title_fullStr Inverse design of topological metaplates for flexural waves with machine learning
title_full_unstemmed Inverse design of topological metaplates for flexural waves with machine learning
title_short Inverse design of topological metaplates for flexural waves with machine learning
title_sort inverse design of topological metaplates for flexural waves with machine learning
url http://www.sciencedirect.com/science/article/pii/S0264127520309266
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AT yabinjin inversedesignoftopologicalmetaplatesforflexuralwaveswithmachinelearning
AT danieltorrent inversedesignoftopologicalmetaplatesforflexuralwaveswithmachinelearning
AT xiaoyingzhuang inversedesignoftopologicalmetaplatesforflexuralwaveswithmachinelearning
AT timonrabczuk inversedesignoftopologicalmetaplatesforflexuralwaveswithmachinelearning