From unit--cell Geometry to Effective Acoustic Properties of Periodic Lattice Structures

From unit--cell Geometry to Effective Acoustic Properties of Periodic Lattice Structures | 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 Research Article From unit--cell Geometry to Effective Acoustic Properties of Periodic Lattice Structures Tao Yang, Yu-Hao Chang, Mert Dogu, Mengtao Liang, Marcus Maeder, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8908176/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 Periodic lattice structures enabled by additive manufacturing provide a versatile platform for lightweight, mechanically robust, and tunable sound-absorbing materials. Yet predicting their effective acoustic behavior remains challenging, since key non-acoustical parameters in equivalent-fluid models are often obtained from dedicated measurements or computationally intensive inverse procedures. In this work, a geometry-informed framework is developed to directly relate unit-cell descriptors of simple cubic truss lattices to effective acoustic properties and sound absorption performance. Closed-form expressions are derived for porosity and characteristic lengths, and a compact regression model is constructed for high-frequency tortuosity based on geometry-derived data. Airflow resistivity, which cannot be reliably determined from geometry alone, is selected through a voting-based strategy that evaluates candidate literature models against finite element benchmarks across multiple lattice configurations. The resulting simplified equivalent-fluid model enables rapid prediction of normal-incidence absorption and is validated against both full finite element simulations and impedance tube measurements of 3D-printed samples. Over a wide range of unit--cell sizes and relative densities, the framework captures resonance frequencies and overall absorption trends. Roughness-resolved simulations further reveal the significant influence of manufacturing-induced surface features on acoustic response, highlighting the importance of as-fabricated geometry in predictive modeling. Acoustics Periodic lattice structures sound absorption geometry-based parameter estimation additive manufacturing Full Text Additional Declarations The authors declare no competing interests. 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-8908176","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":593240225,"identity":"5689c5a3-93ae-46a5-8396-1977fe0a5a52","order_by":0,"name":"Tao Yang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAu0lEQVRIiWNgGAWjYDADfjDJRoRKHhhDso1kLQbHiNViz374ADNPzR27zfd7TDcwlNkQYQtPWgIzz7FnyduO8ZjdYDiXRozDcgyYedgOJ5uBtDC2HSZCC/8boJZ/h5ON28Ba/hOhRQJoC2/bYTsDNrCWA0RoufEs4eDcvsMJEsfSym4knEsmrIW9P/nggzffDtvzNx/eduNDmR1hLSBwCBg5iQ0gVgJxGhgYGH8A44dYxaNgFIyCUTACAQCKBzdUYrhISgAAAABJRU5ErkJggg==","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"Tao","middleName":"","lastName":"Yang","suffix":""},{"id":593240226,"identity":"e91f8707-17d9-460a-ad67-3fcbaa5ee066","order_by":1,"name":"Yu-Hao Chang","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Yu-Hao","middleName":"","lastName":"Chang","suffix":""},{"id":593240227,"identity":"dcc57dcc-299e-4a14-b70f-1fbe659e7999","order_by":2,"name":"Mert Dogu","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Mert","middleName":"","lastName":"Dogu","suffix":""},{"id":593240228,"identity":"8df7a258-e9a9-4b5a-ad0b-745850a1d12a","order_by":3,"name":"Mengtao Liang","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Mengtao","middleName":"","lastName":"Liang","suffix":""},{"id":593240229,"identity":"037cd4a3-23fa-4d51-be33-2400077b4381","order_by":4,"name":"Marcus Maeder","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Marcus","middleName":"","lastName":"Maeder","suffix":""},{"id":593240230,"identity":"ade13af8-dfb3-470b-937f-96f654b0ed18","order_by":5,"name":"Steffen Marburg","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Steffen","middleName":"","lastName":"Marburg","suffix":""}],"badges":[],"createdAt":"2026-02-18 10:15:00","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-8908176/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8908176/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":103049333,"identity":"bd613598-e410-46fe-bde6-2c5bc4fad03f","added_by":"auto","created_at":"2026-02-20 07:39:57","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":7752260,"visible":true,"origin":"","legend":"","description":"","filename":"LatticeStructurePreprint.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8908176/v1_covered_4a2c99d7-0f13-4f6c-ad3f-3399cd0ec3fe.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eFrom unit--cell Geometry to Effective Acoustic Properties of Periodic Lattice Structures\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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 Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Periodic lattice structures, sound absorption, geometry-based parameter estimation, additive manufacturing","lastPublishedDoi":"10.21203/rs.3.rs-8908176/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8908176/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003ePeriodic lattice structures enabled by additive manufacturing provide a versatile platform for lightweight, mechanically robust, and tunable sound-absorbing materials. 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