Supplementary force effect of nonlinear energy sink inerter on vortex-induced vibration mitigation in a multiple-span structure

Supplementary force effect of nonlinear energy sink inerter on vortex-induced vibration mitigation in a multiple-span structure | 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 Supplementary force effect of nonlinear energy sink inerter on vortex-induced vibration mitigation in a multiple-span structure Ruihong Xie, Kun Xu, Xingliang Gao, Lin Zhao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4268413/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 Nonlinear energy sinks (NESs) with broad energy absorption and inerters with substantial mass amplification effect have found widespread investigation for vortex-induced vibration (VIV) control in recent years. However, these studies commonly overlook the sensitivity of vertical nonlinear vibration systems to additional loading effect, especially in terms of weight variations. To this end, the present study delves into the examination of the influence exerted by weighty nonlinear energy sink inerters (NESIs), specifically the bistable nonlinear energy sink inerter (BNESI) and the cubic stiffness nonlinear energy sink inerter (CNESI), on the control efficacy of VIV in structures. Universal models for the NESI-beam system, accounting for the effects of weight, have been established and numerically solved. It has been found that VIV is more sensitive to weight effects compared to harmonic forced vibration (HFV), as under weight, VIV vibrations generate more transient resonance capture (TRC) frequency ratio components, leading to a decrease in vibration control capability. The degradation of the VIV control capability is essentially due to the variation in the effective control parameter range of NESI caused by weight effects. The adoption of inerters with small inertance coefficients and large spacing between ends can significantly overcome this limitation. Moreover, the enhanced NESI system balances weight by positive linear stiffness elements, thus circumventing the impact of weight on the nonlinear stiffness system. It not only eliminates weight effects but also restricts static displacement of the mass block. Nonlinear energy sink Inerter Weight Vortex-induced vibration Bridge structure Full Text Additional Declarations No competing interests reported. Supplementary Files highlights.docx 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-4268413","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":295992681,"identity":"fcfcd0d8-424c-42ed-9ed8-70e5bc6fe672","order_by":0,"name":"Ruihong Xie","email":"","orcid":"","institution":"State Key Lab of Disaster Reduction in Civil Engineering, Tongji University","correspondingAuthor":false,"prefix":"","firstName":"Ruihong","middleName":"","lastName":"Xie","suffix":""},{"id":295992683,"identity":"881e0a58-559f-4858-91ab-33597fb09e6c","order_by":1,"name":"Kun Xu","email":"","orcid":"","institution":"Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Kun","middleName":"","lastName":"Xu","suffix":""},{"id":295992686,"identity":"223d6b52-48b7-4efb-8d96-bb3c7010ed63","order_by":2,"name":"Xingliang Gao","email":"","orcid":"","institution":"GERB Vibration Control Co., Ltd","correspondingAuthor":false,"prefix":"","firstName":"Xingliang","middleName":"","lastName":"Gao","suffix":""},{"id":295992689,"identity":"c988729b-e12b-44d8-a68d-934f07cf2adc","order_by":3,"name":"Lin Zhao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA50lEQVRIiWNgGAWjYDACCSB+YMAgB+EYAIkDxGhJMGAw5iFRCwNDYg9chJAW+dnNDx8kFNxJ38/ee/iFRQGDHN+NBMbPBXi0MM45ZmyQYPAst4fnXJoF0GHGkjcSmKVn4NHCLJFgJpFgcDi3RyLHzACoJXHDjQQ2Zh48Wtgk0r+BtKTzQLXUE9QCUgnSkgBkGD8AakkwIKRFQiKnGOiXw4Y9Z86YAQNZwnDmmYfN0vi0yM9I3/jgw5/D8uztPcafJf7YyPMdTz74GZ8WFH9JS4CjibGBSA3A0Pv4gWi1o2AUjIJRMJIAAGgYRY6+s6s6AAAAAElFTkSuQmCC","orcid":"","institution":"State Key Lab of Disaster Reduction in Civil Engineering, Tongji University","correspondingAuthor":true,"prefix":"","firstName":"Lin","middleName":"","lastName":"Zhao","suffix":""}],"badges":[],"createdAt":"2024-04-15 08:46:56","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4268413/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4268413/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":63669341,"identity":"c79fdde0-5b94-43b9-b1f3-ca7f736b6cf6","added_by":"auto","created_at":"2024-08-30 22:16:41","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":6430086,"visible":true,"origin":"","legend":"","description":"","filename":"Supplementaryforceeffectofnonlinearenergysinkinerteronvortexinducedvibrationmitigationinamultiplespanstructure.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4268413/v1_covered_d858ecdb-50c7-4f3c-b497-50fabd7096c0.pdf"},{"id":55548204,"identity":"4ed5242d-7f2e-45e0-a207-9c16719b75fa","added_by":"auto","created_at":"2024-04-29 19:59:34","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":17570,"visible":true,"origin":"","legend":"","description":"","filename":"highlights.docx","url":"https://assets-eu.researchsquare.com/files/rs-4268413/v1/12598c93c84b95824dabcabe.docx"}],"financialInterests":"No competing interests reported.","formattedTitle":"Supplementary force effect of nonlinear energy sink inerter on vortex-induced vibration mitigation in a multiple-span structure","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 Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Nonlinear energy sink, Inerter, Weight, Vortex-induced vibration, Bridge structure","lastPublishedDoi":"10.21203/rs.3.rs-4268413/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4268413/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Nonlinear energy sinks (NESs) with broad energy absorption and inerters with substantial mass amplification effect have found widespread investigation for vortex-induced vibration (VIV) control in recent years. However, these studies commonly overlook the sensitivity of vertical nonlinear vibration systems to additional loading effect, especially in terms of weight variations. To this end, the present study delves into the examination of the influence exerted by weighty nonlinear energy sink inerters (NESIs), specifically the bistable nonlinear energy sink inerter (BNESI) and the cubic stiffness nonlinear energy sink inerter (CNESI), on the control efficacy of VIV in structures. Universal models for the NESI-beam system, accounting for the effects of weight, have been established and numerically solved. It has been found that VIV is more sensitive to weight effects compared to harmonic forced vibration (HFV), as under weight, VIV vibrations generate more transient resonance capture (TRC) frequency ratio components, leading to a decrease in vibration control capability. The degradation of the VIV control capability is essentially due to the variation in the effective control parameter range of NESI caused by weight effects. The adoption of inerters with small inertance coefficients and large spacing between ends can significantly overcome this limitation. Moreover, the enhanced NESI system balances weight by positive linear stiffness elements, thus circumventing the impact of weight on the nonlinear stiffness system. It not only eliminates weight effects but also restricts static displacement of the mass block.","manuscriptTitle":"Supplementary force effect of nonlinear energy sink inerter on vortex-induced vibration mitigation in a multiple-span structure","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-04-29 19:59:29","doi":"10.21203/rs.3.rs-4268413/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"ccc5da8b-724d-4697-8923-ba64050419ba","owner":[],"postedDate":"April 29th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-08-30T22:08:25+00:00","versionOfRecord":[],"versionCreatedAt":"2024-04-29 19:59:29","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4268413","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4268413","identity":"rs-4268413","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}