Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials

Electromechanical metamaterials have been the focus of many recent studies for use in simultaneous energy harvesting and vibration control. Metamaterials with quasiperiodic patterns possess many useful topological properties that make them a good candidate for study. However, it is currently unknown...

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Main Authors: Joshua LeGrande, Mohammad Bukhari, Oumar Barry
Format: Article
Language:English
Published: AIP Publishing LLC 2023-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0119914
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author Joshua LeGrande
Mohammad Bukhari
Oumar Barry
author_facet Joshua LeGrande
Mohammad Bukhari
Oumar Barry
author_sort Joshua LeGrande
collection DOAJ
description Electromechanical metamaterials have been the focus of many recent studies for use in simultaneous energy harvesting and vibration control. Metamaterials with quasiperiodic patterns possess many useful topological properties that make them a good candidate for study. However, it is currently unknown what effect electromechanical coupling may have on the topological bandgaps and localized edge modes of a quasiperiodic metamaterial. In this paper, we study a quasiperiodic metamaterial with electromechanical resonators to investigate the effect on its bandgaps and localized vibration modes. We derive here the analytical dispersion surfaces of the proposed metamaterial. A semi-infinite system is also simulated numerically to validate the analytical results and show the band structure for different quasiperiodic patterns, load resistors, and electromechanical coupling coefficients. The topological nature of the bandgaps is detailed through an estimation of the integrated density of states. Furthermore, the presence of topological edge modes is determined through numerical simulation of the energy harvested from the system. The results indicate that quasiperiodic metamaterials with electromechanical resonators can be used for effective energy harvesting without changes in the bandgap topology for weak electromechanical coupling.
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spelling doaj.art-4cfe37f13e4f42e5ab5796f447e26d022023-02-03T16:42:07ZengAIP Publishing LLCAIP Advances2158-32262023-01-01131015112015112-610.1063/5.0119914Effect of electromechanical coupling on locally resonant quasiperiodic metamaterialsJoshua LeGrande0Mohammad Bukhari1Oumar Barry2Vibrations and Robotics Lab, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USAVibrations and Robotics Lab, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USAVibrations and Robotics Lab, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USAElectromechanical metamaterials have been the focus of many recent studies for use in simultaneous energy harvesting and vibration control. Metamaterials with quasiperiodic patterns possess many useful topological properties that make them a good candidate for study. However, it is currently unknown what effect electromechanical coupling may have on the topological bandgaps and localized edge modes of a quasiperiodic metamaterial. In this paper, we study a quasiperiodic metamaterial with electromechanical resonators to investigate the effect on its bandgaps and localized vibration modes. We derive here the analytical dispersion surfaces of the proposed metamaterial. A semi-infinite system is also simulated numerically to validate the analytical results and show the band structure for different quasiperiodic patterns, load resistors, and electromechanical coupling coefficients. The topological nature of the bandgaps is detailed through an estimation of the integrated density of states. Furthermore, the presence of topological edge modes is determined through numerical simulation of the energy harvested from the system. The results indicate that quasiperiodic metamaterials with electromechanical resonators can be used for effective energy harvesting without changes in the bandgap topology for weak electromechanical coupling.http://dx.doi.org/10.1063/5.0119914
spellingShingle Joshua LeGrande
Mohammad Bukhari
Oumar Barry
Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
AIP Advances
title Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
title_full Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
title_fullStr Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
title_full_unstemmed Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
title_short Effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
title_sort effect of electromechanical coupling on locally resonant quasiperiodic metamaterials
url http://dx.doi.org/10.1063/5.0119914
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