Design, analysis, and experimental investigation of mid frequency bandgap in locally resonant elastic metamaterial

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Abstract

Abstract The study presets two designs of locally resonant metamaterial unit cells with a soft elastic matrix to develop bandgap in mid frequency range. Their dispersion relations and wave propagation behaviour are examined using Bloch theory and finite element analysis. Bandgaps and their evolution are explored through a parametric study of the unit cells, and their effect on the effective mass density is evaluated. Numerical findings are validated through experiments on fabricated specimens, showing good agreement in the identification of bandgaps. The results demonstrate that introducing an additional soft rubber layer around the resonator leads to a widening of the bandgap.
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Design, analysis, and experimental investigation of mid frequency bandgap in locally resonant elastic metamaterial | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Design, analysis, and experimental investigation of mid frequency bandgap in locally resonant elastic metamaterial Swapnil Arawade, Janusz Piechowicz This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8426114/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The study presets two designs of locally resonant metamaterial unit cells with a soft elastic matrix to develop bandgap in mid frequency range. Their dispersion relations and wave propagation behaviour are examined using Bloch theory and finite element analysis. Bandgaps and their evolution are explored through a parametric study of the unit cells, and their effect on the effective mass density is evaluated. Numerical findings are validated through experiments on fabricated specimens, showing good agreement in the identification of bandgaps. The results demonstrate that introducing an additional soft rubber layer around the resonator leads to a widening of the bandgap. Physical sciences/Engineering Physical sciences/Materials science Physical sciences/Optics and photonics Physical sciences/Physics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8426114","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":568407869,"identity":"0416170c-bf00-4246-866f-9638625fcbc2","order_by":0,"name":"Swapnil 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metamaterial","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research 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Their dispersion relations and wave propagation behaviour are examined using Bloch theory and finite element analysis. Bandgaps and their evolution are explored through a parametric study of the unit cells, and their effect on the effective mass density is evaluated. Numerical findings are validated through experiments on fabricated specimens, showing good agreement in the identification of bandgaps. 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