Bibliografías temáticas / Vibration bandgap

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Literatura académica sobre el tema "Vibration bandgap"

Autor: Grafiati

Publicado: 11 de enero de 2025

Última modificación: 31 de julio de 2025

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Artículos de revistas sobre el tema "Vibration bandgap"

Anigbogu, Winner, and Hamzeh Bardaweel. "A Metamaterial-Inspired Structure for Simultaneous Vibration Attenuation and Energy Harvesting." Shock and Vibration 2020 (June 13, 2020): 1–12. http://dx.doi.org/10.1155/2020/4063025.

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In this article, a magnetomechanical metamaterial structure capable of simultaneous vibration attenuation and energy harvesting is presented. The structure consists of periodically arranged local resonators combining cantilever beams and permanent magnet-coil systems. A prototype of the metamaterial dual-function structure is fabricated, and models are developed. Results show good agreement between model simulation and experiment. Two frequency bandgaps are measured: 205–257 Hz and 587–639 Hz. Within these bandgaps, vibrations are completely attenuated. The level of vibration attenuation in th

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Dong, Xingjian, Shuo Wang, Anshuai Wang, et al. "Low-frequency bandgap and vibration suppression mechanism of a novel square hierarchical honeycomb metamaterial." Applied Mathematics and Mechanics 45, no. 10 (2024): 1841–56. http://dx.doi.org/10.1007/s10483-024-3168-7.

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AbstractThe suppression of low-frequency vibration and noise has always been an important issue in a wide range of engineering applications. To address this concern, a novel square hierarchical honeycomb metamaterial capable of reducing low-frequency noise has been developed. By combining Bloch’s theorem with the finite element method, the band structure is calculated. Numerical results indicate that this metamaterial can produce multiple low-frequency bandgaps within 500 Hz, with a bandgap ratio exceeding 50%. The first bandgap spans from 169.57 Hz to 216.42 Hz. To reveal the formation mechan

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Liu, Tengfei, and Zhen Lei. "Low-frequency bandgap and tension-compression to twist mode transition of a novel pull-rotation chiral structure." Journal of Physics D: Applied Physics 58, no. 22 (2025): 225301. https://doi.org/10.1088/1361-6463/add1eb.

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Abstract The suppression of low-frequency vibration and noise remains a significant challenge in engineering. In this study, a pull-rotation chiral metamaterial with both structural support and mode conversion properties is innovatively designed based on the wave-mode relationship. The band structure of the metamaterial is systematically investigated using Bloch’s theorem combined with the finite element method. The results demonstrate that the material exhibits multiple low-frequency in-plane mode bandgaps, with bandgap ratios exceeding 50% in the frequency range below 4000 Hz. Vibrational mo

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Yang, Fan, Zhaoyang Ma, and Xingming Guo. "Bandgap characteristics analysis and graded design of a novel metamaterial for flexural wave suppression." Applied Mathematics and Mechanics 46, no. 1 (2025): 1–24. https://doi.org/10.1007/s10483-025-3204-7.

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AbstractA novel elastic metamaterial is proposed with the aim of achieving low-frequency broad bandgaps and bandgap regulation. The band structure of the proposed metamaterial is calculated based on the Floquet-Bloch theorem, and the boundary modes of each bandgap are analyzed to understand the effects of each component of the unit cell on the bandgap formation. It is found that the metamaterials with a low elastic modulus of ligaments can generate flexural wave bandgaps below 300 Hz. Multi-frequency vibrations can be suppressed through the selective manipulation of bandgaps. The dual-graded d

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Hajhosseini, Mohammad. "Analysis of complete vibration bandgaps in a new periodic lattice model using the differential quadrature method." Journal of Vibration and Control 26, no. 19-20 (2020): 1708–20. http://dx.doi.org/10.1177/1077546320902549.

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In this study, a new periodic lattice model with special vibration-absorbing properties is introduced. This periodic structure consists of the connected beam elements with circular cross-sections. Four models with different sets of cross-sectional radii are considered for this periodic lattice. The theoretical equations of longitudinal, torsional, and transverse vibrations of beams are solved using the combination of generalized differential quadrature and generalized differential quadrature rule methods to calculate the first three complete bandgaps. Investigating the effects of geometrical p

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Guo, Peng, and Qizheng Zhou. "An Analytical, Numerical, and Experimental Investigation on Transverse Vibrations of a Finite Locally Resonant Beam." Shock and Vibration 2022 (June 13, 2022): 1–17. http://dx.doi.org/10.1155/2022/6875718.

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An analytical, numerical, and experimental investigation on the transverse vibrations of a finite beam with periodically arrayed beam-like resonators was carried out. A continuous-discrete model of the finite locally resonant beam was established by employing the “mass-spring- mass” subsystem. The analytical solution of the coupling vibration equations was derived based on the modal superposition method, and the analytical expression of average velocity response and vibration transmissibility were given. Then, the minimum periodic number of different units which could result in a bandgap was d

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Muhammad, Shoaib, Shuai Wang, Fengming Li, and Chuanzeng Zhang. "Bandgap enhancement of periodic nonuniform metamaterial beams with inertial amplification mechanisms." Journal of Vibration and Control 26, no. 15-16 (2020): 1309–18. http://dx.doi.org/10.1177/1077546319895630.

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The aim of this study was to obtain bandgaps that are much better, that is at lower frequencies and in broader frequency ranges. Novel nonuniform metamaterial beams with periodically variable cross sections and inertial amplification mechanisms are designed and investigated by numerical and experimental methods. Flexural vibration equations of the nonuniform metamaterial beams are established, and the enhanced bandgap and vibration reduction properties are achieved by combining Bragg scattering and the inertial amplification mechanisms. Numerical results of the bandgaps for the periodic elasti

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Wei, Wei, Feng Guan, and Xin Fang. "A low-frequency and broadband wave-insulating vibration isolator based on plate-shaped metastructures." Applied Mathematics and Mechanics 45, no. 7 (2024): 1171–88. http://dx.doi.org/10.1007/s10483-024-3160-6.

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AbstractA metamaterial vibration isolator, termed as wave-insulating isolator, is proposed, which preserves enough load-bearing capability and offers ultra-low and broad bandgaps for greatly enhanced wave insulation. It consists of plate-shaped metacells, whose symmetric and antisymmetric local resonant modes offer several low and broad mode bandgaps although the complete bandgap remains high and narrow. The bandgap mechanisms, vibration isolation properties, effects of key parameters, and robustness to complex conditions are clarified. As experimentally demonstrated, the wave-insulating isola

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Guo, Zhiwei, Buliang Xie, Meiping Sheng, and Hao Zeng. "Tunable Ultralow-Frequency Bandgaps Based on Locally Resonant Plate with Quasi-Zero-Stiffness Resonators." Applied Sciences 14, no. 4 (2024): 1467. http://dx.doi.org/10.3390/app14041467.

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In order to suppress the transverse vibration of a plate, a quasi-zero-stiffness (QZS) resonator with tunable ultralow frequency bandgaps was introduced and analyzed. The resonator was designed by introducing the quasi-zero-stiffness systems into mass-in-mass resonators. The plane wave expansion method was employed to derive the bandgap characteristics of the locally resonant (LR) plate with QZS resonators, and corresponding simulations were carried out by finite element method (FEM). The results show that an LR plate with a QZS resonator can provide two bandgaps, and the ranges of the bandgap

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Yong, Jiawang, Wanting Li, Xiaojun Hu, Zhishuai Wan, Yiyao Dong, and Nenglian Feng. "Co-Design of Mechanical and Vibration Properties of a Star Polygon-Coupled Honeycomb Metamaterial." Applied Sciences 14, no. 3 (2024): 1028. http://dx.doi.org/10.3390/app14031028.

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Based on the concept of component assembly, a novel star polygon-coupled honeycomb metamaterial, which achieves a collaborative improvement in load-bearing capacity and vibration suppression performance, is proposed based on a common polygonal structure. The compression simulation and experiment results show that the load-bearing capacity of the proposed metamaterial is three times more than that of the initial metamaterial. Additionally, metal pins are attached and particle damping is applied to the metamaterial to regulate its bandgap properties; the influence of configuration parameters, in

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Tesis sobre el tema "Vibration bandgap"

Zhang, Runze. "Modeling of coupled vibration systems with fluid-structure interaction." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPAST136.

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Cette thèse porte sur deux aspects de la dynamique vibratoire des structures en interaction fluide-structure (IFS) : le contrôle des vibrations des structures immergées dans un fluide et la récupération des vibrations induites par un fluide pour leur conversion en énergie électrique. Ce mémoire présente nos contributions dans ces deux domaines.Premièrement, concernant le contrôle des vibrations, l'émergence récente des méta-structures a ouvert de nouvelles perspectives pour maîtriser les vibrations des structures en IFS. Ces structures, souvent constituées de microstructures périodiques, perme

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Rodrigues, Cunha Leandro. "Robust bandgaps for vibration control in periodic structures." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD060.

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Dans cette thèse, une méthodologie simple pour trouver des bandes interdites robustes est présentée. Quatre cellules unitaires différentes sont utilisées comme exemples numériques pour des modèles infinis et finis. Les deux premiers sont liés aux zones d'atténuation créées pour les ondes longitudinales en utilisant des cellules unitaires de masse et ressort et de barres. La méthode Matrice de Transfert est utilisée pour modéliser la cellule unitaire. Avec cette méthode, il est possible d'obtenir les réponses en fréquence, en utilisant une méthode spectrale, et des constantes de dispersion, en

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Zheng, Xuqian. "Ultra-Wide Bandgap Crystals for Resonant Nanoelectromechanical Systems (NEMS)." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1554765522327938.

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Pyskir, Adrien. "Application de métamatériaux aux problématiques vibroacoustiques automobiles." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEC011.

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Les métamatériaux sont des matériaux architecturés de telle sorte qu’ils présentent des propriétés exotiques, issues non pas du matériau constitutif, mais de leur structure interne. Bien qu’ayant été étudiés depuis une vingtaine d’années, peu d’applications réelles ont été recensées, notamment dans le domaine industriel. Cette thèse est consacrée aux métamatériaux élastiques susceptibles de réduire les vibrations dans les véhicules automobiles. En effet, une meilleure isolation des principales sources vibratoires permettrait l’amélioration du confort vibratoire et la durée de vie des pièces mé

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Moreira, Fernando Jose de Oliveira. "Um controlador H 'infinito' alfa de Banda limitada para o controle ativo de vibração estrutural." [s.n.], 1998. http://repositorio.unicamp.br/jspui/handle/REPOSIP/263222.

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Orientador: Jose Roberto de França Arruda Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica Made available in DSpace on 2018-07-24T09:38:32Z (GMT). No. of bitstreams: 1 Moreira_FernandoJosedeOliveira_D.pdf: 15667292 bytes, checksum: b9be95fa70780c1440ed7671ea43a6dd (MD5) Previous issue date: 1998 Resumo: Neste trabalho é apresentada uma metodologia para controle ativo de vibração. O objetivo é amortecer modos de vibração de uma estrutura na região de média freqüência. A técnica empregada envolve controle por realimentação e se aplica tanto a prob

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Gehring, Junior Waldemar [UNESP]. "Monitoramento da deflexão de serras de fita contínua como proposta de avaliação da qualidade de peças serradas de madeira." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/144189.

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Submitted by WALDEMAR GEHRING JUNIOR null (waldemargehring@uol.com.br) on 2016-09-26T01:27:15Z No. of bitstreams: 1 GEHRING JUNIOR_W_TESE_2016_monitoramentodeflexãoserras_VF.pdf: 23074924 bytes, checksum: aa08a0280e83325282cc29f40b158fee (MD5) Approved for entry into archive by Felipe Augusto Arakaki (arakaki@reitoria.unesp.br) on 2016-09-27T16:10:42Z (GMT) No. of bitstreams: 1 gehringjunior_w_dr_guara.pdf: 23074924 bytes, checksum: aa08a0280e83325282cc29f40b158fee (MD5) Made available in DSpace on 2016-09-27T16:10:42Z (GMT). No. of bitstreams: 1 gehringjunior_w_dr_guara.pdf: 2307492

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Ratnaparkhe, Amol. "FIRST PRINCIPLES STUDY OF ELECTRONIC ANDVIBRATIONAL PROPERTIES OF WIDE BAND GAPOXIDE AND NITRIDE SEMICONDUCTORS." Case Western Reserve University School of Graduate Studies / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1619606222502271.

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Tsai, Meng-Huang, and 蔡孟皇. "Structural analysis and vibration control of high-speed bandsaw." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/hgg5n6.

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碩士 國立虎尾科技大學 創意工程與精密科技研究所 99 This study is focuses on structural analysis of band saw machine and vibration control, used of finite element analysis and transient response of the experimental results, find out the band saw machine vibration prone structure, reuse, reduce the size of the change to identify the direction of vibration . This article struck by the static experimental results, the hit points from many different experiments, the transient response behavior occurs in a specific number of frequencies, while the higher frequency of double column is likely to cause the hy

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(6532391), Nicolas Guarin-Zapata. "Modeling and Analysis of Wave and Damaging Phenomena in Biological and Bioinspired Materials." Thesis, 2021.

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There is a current interest in exploring novel microstructural architectures that take advantage of the response of independent phases. Current guidelines in materials design are not just based on changing the properties of the different phases but also on modifying its base architecture. Hence, the mechanical behavior of composite materials can be adjusted by designing microstructures that alternate stiff and flexible constituents, combined with well-designed architectures. One source of inspiration to achieve these designs is Nature, where biologically mineralized composites can be take

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Capítulos de libros sobre el tema "Vibration bandgap"

Yuan, Weiting, and Qibo Mao. "Experimental Study of Bending Vibration Bandgaps for an Acoustic Metamaterial Beam." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-8864-8_26.

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Deng, Jie. "Low-frequency bandgaps by topological acoustic black holes." In Phonons - Recent Advances, New Perspectives and Applications [Working Title]. IntechOpen, 2024. http://dx.doi.org/10.5772/intechopen.1005765.

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Nowadays, acoustic black holes (ABHs) are very popular for producing efficient vibration reduction at high frequencies in combination with some damping mechanisms. However, its low-frequency performance is hard to improve since the ABH effect principally occurs beyond its cut-on frequency. Fortunately, periodic ABH configuration offers some bandgaps below that frequency for wave attenuation. In this chapter, a topological ABH structure is suggested to produce a new bandgap at very low frequencies, by taking a supercell and decreasing the ABH distance. The wave and Rayleigh-Ritz method (WRRM) i

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Sahu, Rajesh, S. K. Jain, and Balram Tripathi. "A Comparative Study on Visible Light Induced Photocatalytic Activity of MWCNTs Decorated Sulfide Based (ZnS & CdS) Nano Photocatalysts." In Advanced Materials and Nano Systems: Theory and Experiment - Part 2. BENTHAM SCIENCE PUBLISHERS, 2022. http://dx.doi.org/10.2174/9789815049961122020013.

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Sulfide-based semiconductor nano photocatalysts like ZnS and CdS of different particle sizes were prepared by chemical method. These photo catalysts show an excellent photo catalytic activity in the visible region due to their appropriate energy bandgap (Eg). Multiwalled carbon nanotubes (MWCNTs) intercalated sulfide-based photocatalysts like ZnS/MWCNTs and CdS/MWCNTs composites enhance photocatalytic response in comparison to ZnS and CdS NCs. The photocatalytic activity of MWCNTs intercalated ZnS and CdS composites were studied via decomposition of organic pollutant. The obtained particle siz

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Khalid, S. "Advanced Electric Propulsion Systems for Hybrid Electric Vehicles." In Advances in Mechatronics and Mechanical Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-5797-2.ch001.

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This chapter explores advanced electric propulsion systems for hybrid electric vehicles (HEVs), focusing on design, control, and performance optimization. It examines key components including electric motors, power electronics, and energy storage systems, discussing their selection and integration. The chapter reviews control strategies such as field-oriented control, direct torque control, and model predictive control, highlighting their advantages and limitations. Performance optimization techniques using finite element analysis, computational fluid dynamics, and optimization algorithms are

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Thomas, Michael E. "Optical Propagation in Solids." In Optical Propagation in Linear Media. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780195091618.003.0013.

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This chapter emphasizes the linear optical properties of solids as a function of frequency and temperature. Such information is basic to understanding the performance of optical fibers, lenses, dielectric and metallic mirrors, window materials, thin films, and solid-state photonic devices in general. Optical properties are comprehensively covered in terms of mathematical models of the complex index of refraction based on those discussed in Chapters 4 and 5. Parameters for these models are listed in Appendix 4. A general review of solid-state properties precedes this development because the cho

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Actas de conferencias sobre el tema "Vibration bandgap"

Singhapurage, Helani A. S., Dinusha M. Senarathna, Jeremy Sylvester, Chandra P. Neupane, and F. Ganikhanov. "Ultrafast Coherent Raman Study of Lattice Vibration Dynamics in Wide-bandgap Semiconductors." In CLEO: Applications and Technology. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.jtu2a.127.

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Optical phonon dynamics, including decay of symmetry forbidden modes, have been studied in technologically important wide-bandgap semiconductors. Phonon decay times for LO-and TO- phonon modes have been found to be within 0.82-1.56 ps and are explained in terms of parametric phonon interactions.

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Liu, Quanxing. "Flexural wave bandgap and vibration reduction of a metabeam with 2DOF resonators." In 5th International Conference on Mechanical Engineering and Materials (ICMEM 2024), edited by Jinyang Xu and Gupta Manoj. SPIE, 2025. https://doi.org/10.1117/12.3060067.

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Anigbogu, Winner, and Hamzeh Bardaweel. "Concurrent Passive Broadband Vibration Suppression and Energy Harvesting Using a Dual-Purpose Magnetoelastic Metamaterial Structure: Experimental Validation and Modeling." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-67652.

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Abstract A dual-purpose metamaterial structure that can concurrently suppress vibrations and scavenge energy is presented. The metamaterial assembly presented in this work uses a permanent magnet-coil system in addition to an elastic cantilever beam to perform its dual functions. A prototype is manufactured and a COMSOL model is developed. Two bandgaps are observed at 205–257 Hz and 587–639 Hz. COMSOL simulations show excellent agreement with measured data. Within these bandgaps the structure blocks vibrations from traveling through and, simultaneously, converts vibrations into electric power.

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Chavan, Shantanu, and Vijaya V. N. Sriram Malladi. "Programmable Bandgaps in Meta-Structures With Dynamic Vibration Resonators." In ASME 2023 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/smasis2023-112818.

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Abstract Elastic wave propagation is controlled using meta-structures with dynamic vibration resonators (DVRs). These meta-structures exhibit bandgaps whose location is determined by the attributes of the DVRs, especially their resonant frequency. However, in passive meta-structures, the bandgap location is fixed, which limits their ability to attenuate vibrations over a wide frequency range. To overcome this limitation, this study introduces a novel approach to achieve a wide programmable bandgap using a DVR with two states: high-frequency and low-frequency states. A new n-bit nomenclature fo

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Sugino, Christopher, Stephen Leadenham, Massimo Ruzzene, and Alper Erturk. "Modal Analysis of Bandgap Formation for Vibration Attenuation in Locally Resonant Finite Beams." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60552.

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Metamaterials made from locally resonating arrays can exhibit attenuation bandgaps at wavelengths much longer than the lattice size, enabling low-frequency vibration attenuation. For an effective use of such locally resonant metamaterial concepts, it is required to bridge the gap between the dispersion characteristics and modal behavior of the host structure with its resonators. To this end, we develop a novel argument for bandgap formation in finite-length beams, relying on modal analysis and the assumption of infinitely many resonators. This assumption is analogous to the wave assumption of

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LeGrande, Joshua, Mohammad Bukhari, and Oumar Barry. "Topological Properties and Localized Vibration Modes in Quasiperiodic Metamaterials With Electromechanical Local Resonators." In ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/detc2022-90025.

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Abstract Simultaneous energy harvesting and vibration attenuation has been a topic of great interest in many recent investigations in mechanical metamaterials. These studies have shown the ability to harvest electrical power using weak electromechanical coupling in periodic metamaterials with no effect on the material’s bandgap boundaries. However, the effect of the electromechanical resonator on the topological properties (i.e. the bandgap topology) and localized mode shapes of a quasiperiodic metamaterial has not yet been determined. In this paper, we study a quasiperiodic metamaterial coupl

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Astudillo, Diego, and Rafael O. Ruiz. "Resonator-Based Piezoelectric Metastructures: Efficient Bandgap Estimation and Parametric Analysis." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-110579.

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Abstract The integration of piezoelectric elements as resonators inside a periodic structure for vibration suppression and energy harvesting (at low frequencies) was experimentally demonstrated recently. In particular, employing a square array of free-standing piezoelectric cantilevers attached to a primary structural frame. The configuration could be understood as a periodic cell that contains a series of cantilevered Piezoelectric Energy Harvesters (PEHs). This work aims to implement a finite element model of a piezoelectric periodic structure capable of presenting vibration suppression and

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Kaczmarek, Marcin B., Vivek Gupta, and S. Hassan HosseinNia. "Active Piezoelectric Metastructures: Relationship of Bandgap Formation With Unit Cell Number and Modal Behaviour." In ASME 2024 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2024. https://doi.org/10.1115/imece2024-144807.

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Abstract Elastic piezoelectric metastructures with actively implemented resonators offer an opportunity for novel vibration attenuation solutions, thanks to the possibility of creating bandgaps at low frequencies, their tuneability and compactness. We focus on metastructures with sensors and actuators, where the resonators are implemented using feedback control techniques, an alternative to commonly used shunt circuits. For bandgap creation in finite structures, unit-cell-based dispersion analysis is unsuitable since it lacks information on modal behaviour. As an alternative, a modal analysis

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Song, Yihao, and Yanfeng Shen. "Shape Memory Metamaterials With Adaptive Bandgaps for Ultra-Wide Frequency Spectrum Vibration Control." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10902.

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Abstract This paper presents a novel shape memory metamaterial, which can achieve adaptively tunable bandgaps for ultra-wide frequency spectrum vibration control. The microstructure is composed of a Shape Memory Alloy (SMA) wire and a metallic spring combined together with bakelite blocks, loaded by a lumped mass made of lead. The adaptive bandgap mechanism is achieved via the large deformation of the metamaterial unit cell structure during the heating and cooling cycle. By applying different heating temperature on the SMA wire, morphing microstructural shapes can be achieved. Parametric desig

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Sugino, Christopher, Stephen Leadenham, Massimo Ruzzene, and Alper Erturk. "Electroelastic Bandgap Formation in Locally Resonant Metamaterial Beams With Piezoelectric Shunts: A Modal Analysis Approach." In ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/smasis2016-9282.

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Metamaterials made from flexible structures with piezoelectric laminates connected to resonant shunt circuits can exhibit vibration attenuation properties similar to those of their purely mechanical locally resonant counterparts. Thus, in analogy to purely mechanical metamaterials, electroelastic metamaterials with piezoelectric resonators can exhibit vibration attenuation bandgaps. To enable the effective design of these locally resonant electroelastic metamaterials, the electromechanical behavior of the piezoelectric patches must be reconciled with the modal behavior of the electroelastic st

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