Multimodal galloping analysis of suspended cables with nonlinear internal damping and aerodynamic refinement

Multimodal galloping analysis of suspended cables with nonlinear internal damping and aerodynamic refinement | 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 Multimodal galloping analysis of suspended cables with nonlinear internal damping and aerodynamic refinement Tao Li, Wenming Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6769288/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 This study presents a comprehensive computational framework for analyzing the galloping behavior of suspended cables, overcoming key limitations in traditional approaches. Specifically, we address: (1) multimodal dynamics that capture complex interactions beyond low-order approximations, (2) nonlinear internal damping modeled via a Kelvin-Voigt viscoelastic approach, and (3) advanced aerodynamic modeling through spline interpolation. Our approach employs Galerkin discretization, incorporating a broader set of modes for more accurate results, and utilizes adaptive time-stepping and vectorized matrix operations for computational efficiency. Validation with finite element method (FEM) simulations confirms the accuracy of the model under various wind conditions. Our results demonstrate that internal damping plays a crucial role in galloping amplitude, while precise aerodynamic interpolation is essential for accurate predictions. This framework provides a robust methodology for predicting cable galloping, significantly enhancing stability predictions and offering practical insights for structural safety assessments. suspended cables galloping multimodal analysis internal damping Galerkin method aerodynamic interpolation 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. 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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-6769288","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":470951341,"identity":"ba421b97-4e06-42b4-a3c2-b98347c462db","order_by":0,"name":"Tao Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAx0lEQVRIiWNgGAWjYBACPmYQWcHAwNgAYrARoYWNGaTnDFBLG9FaGJihytmI1sLOf/DDx3k28szzewwYPpQdZuCf3UDQYcySM7elGTa28Rgwzjh3mEHizgGCWhikebcdTmAEamHmbTvMYCCRQNiW37xz/kO0/CVSC5s0b8MBiBZGIrWYWc44lgz0S1rBwZ5z6TwSNwho4ec/+PjGhxo7ecPmwxsf/CizluOfQUALHBg2MDAcANI8RKoHAnnilY6CUTAKRsFIAwBAtjbPK81lMwAAAABJRU5ErkJggg==","orcid":"","institution":"East China Jiaotong University","correspondingAuthor":true,"prefix":"","firstName":"Tao","middleName":"","lastName":"Li","suffix":""},{"id":470951342,"identity":"39109b08-d47d-43cf-aa74-931401a6c24f","order_by":1,"name":"Wenming Zhang","email":"","orcid":"","institution":"Southeast University","correspondingAuthor":false,"prefix":"","firstName":"Wenming","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2025-05-28 14:54:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6769288/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6769288/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":96362736,"identity":"8ae961f3-b6d6-4ee7-85bf-6386662b53bc","added_by":"auto","created_at":"2025-11-20 09:47:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":11146583,"visible":true,"origin":"","legend":"","description":"","filename":"55ES.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6769288/v1_covered_e21372f0-8130-4168-99ac-0b070e05a35a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multimodal galloping analysis of suspended cables with nonlinear internal damping and aerodynamic refinement","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":"suspended cables, galloping, multimodal analysis, internal damping, Galerkin method, aerodynamic interpolation","lastPublishedDoi":"10.21203/rs.3.rs-6769288/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6769288/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study presents a comprehensive computational framework for analyzing the galloping behavior of suspended cables, overcoming key limitations in traditional approaches. 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