Non-Reciprocal Wave Propagations in a One-Dimensional Periodic Structure Modified with a Linkage Mechanism

Non-Reciprocal Wave Propagations in a One-Dimensional Periodic Structure Modified with a Linkage Mechanism | 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 Non-Reciprocal Wave Propagations in a One-Dimensional Periodic Structure Modified with a Linkage Mechanism Hongyu Wang, Jian Zhao, Xuefeng Wang, Zeyuan Dong, Yu Huang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4003289/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 01 Aug, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 10 You are reading this latest preprint version Abstract Reciprocity is a fundamental property of wave propagations, and many researchers devoted their efforts to breaking the reciprocity and implementing unidirectional wave propagations. At present, the main method to realize non-reciprocal waves uses aperiodic structure as the wave propagation medium. The non-reciprocal bandgap achieved by this method is narrow and difficult to adjust actively. To improve the controllability of non-reciprocal bandwidth, a one-dimensional (1D) periodic lattice structure based on linkage element is proposed in the work. The linkage element enables the lattice structure to have nonlinear stiffness with respect to the asymmetry of the equilibrium position. This stiffness asymmetry leads to the non-reciprocity of wave propagation, which provides a new idea for the design of non-reciprocal structures. To deal with the strong nonlinearity and high dimensional characteristics of the structure, the improved incremental harmonic balance (IHB) method is used to analyze the dispersion and bandgap characteristics of the structure. The results show that the structure has two bidirectional bandgaps (high and low frequency) and four unidirectional bandgaps, and the position, width and direction of the bandgap can be adjusted by the equilibrium position and mechanical parameters of the structure. The obtained structural properties are verified by numerical experiments. non-reciprocity one-dimensional periodic structure nonlinear system incremental harmonic balance bandgap property Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 01 Aug, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 22 Jun, 2024 Reviews received at journal 22 Jun, 2024 Reviewers agreed at journal 07 Jun, 2024 Reviews received at journal 23 Mar, 2024 Reviewers agreed at journal 18 Mar, 2024 Reviewers agreed at journal 16 Mar, 2024 Reviewers invited by journal 16 Mar, 2024 Editor assigned by journal 09 Mar, 2024 Submission checks completed at journal 05 Mar, 2024 First submitted to journal 01 Mar, 2024 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. 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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-4003289","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":276461702,"identity":"d899e64b-d45f-460c-a982-aa42fe5f2742","order_by":0,"name":"Hongyu Wang","email":"","orcid":"","institution":"Dalian University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hongyu","middleName":"","lastName":"Wang","suffix":""},{"id":276461703,"identity":"f1b2a835-7aac-44c7-b4b1-080da85cc19b","order_by":1,"name":"Jian Zhao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAwklEQVRIiWNgGAWjYBACxgYeIFnBLAPm8RCv5QwzDwMbsVrAyhjbSNHC3H/24IeP86x5DO43MD5428Ygb07YYeeSJWduS+cxOMbAbDi3jcFwZwMhLY09BtK82w6DtLBJ87YxJBgcIKSlmcf4N+8csBb238RpaeMxk+ZtgNjCTJyWHh4zyxnH0nkkjyU2S845J2G4gZAWw/4zxjc+1FjL8R0+fPDDmzIbeYK2GDYgLAQxJQioBwJ5wkpGwSgYBaNgxAMAqFc5aSP2KLQAAAAASUVORK5CYII=","orcid":"","institution":"Dalian University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Jian","middleName":"","lastName":"Zhao","suffix":""},{"id":276461704,"identity":"7cbe43e7-1c03-42a9-b98f-989c02db5a0a","order_by":2,"name":"Xuefeng Wang","email":"","orcid":"","institution":"Peking University","correspondingAuthor":false,"prefix":"","firstName":"Xuefeng","middleName":"","lastName":"Wang","suffix":""},{"id":276461705,"identity":"c6bd59c9-497b-46ae-8086-f7149ba32b86","order_by":3,"name":"Zeyuan Dong","email":"","orcid":"","institution":"Dalian University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Zeyuan","middleName":"","lastName":"Dong","suffix":""},{"id":276461706,"identity":"2fe8f125-5a15-4d9e-b208-7604e9d5afa5","order_by":4,"name":"Yu Huang","email":"","orcid":"","institution":"Dalian Ocean University","correspondingAuthor":false,"prefix":"","firstName":"Yu","middleName":"","lastName":"Huang","suffix":""}],"badges":[],"createdAt":"2024-03-01 13:15:39","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4003289/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4003289/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-024-10061-8","type":"published","date":"2024-08-01T15:57:14+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":61793867,"identity":"41c67020-d9db-4a99-8342-e7e441e5bd2a","added_by":"auto","created_at":"2024-08-05 16:16:14","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1353952,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript20240229.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4003289/v1_covered_bcaa487e-6956-476b-a271-dd38a006979b.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Non-Reciprocal Wave Propagations in a One-Dimensional Periodic Structure Modified with a Linkage Mechanism","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"non-reciprocity, one-dimensional periodic structure, nonlinear system, incremental harmonic balance, bandgap property","lastPublishedDoi":"10.21203/rs.3.rs-4003289/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4003289/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eReciprocity is a fundamental property of wave propagations, and many researchers devoted their efforts to breaking the reciprocity and implementing unidirectional wave propagations. 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