Vortex-Induced Dynamics of a Pipe-in-Pipe System with Backward Whirling: Nonlinear Model Predictive Control with Tension-Based Detuning

Vortex-Induced Dynamics of a Pipe-in-Pipe System with Backward Whirling: Nonlinear Model Predictive Control with Tension-Based Detuning | 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 Vortex-Induced Dynamics of a Pipe-in-Pipe System with Backward Whirling: Nonlinear Model Predictive Control with Tension-Based Detuning Xiangyu Hou, Xianbo Liu, Hongguang Li, Guang Meng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6859759/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 To advance the understanding of dynamics in offshore drilling systems, this study investigates the vortex-induced vibrations of a pipe-in-pipe structure under the combined effects of tension modulation of the riser and drill string backward whirling. A reduced-order dynamic model integrating gravity, variation of the top tension, and nonlinear fluid-structure interactions is developed. Parametric studies reveal that the backwards whirling of drill string enhances the system’s energy dissipation rate, reducing the vortex-induced vibrations by 15-40%, while direct tension modulation can break the lock-in vibration with slow convergence. An equivalent single-riser model is then derived, revealing that whirling introduces additional mass, stiffness, damping, and multi-frequency excitations. Based on this equivalent model, a nonlinear model predictive control strategy is proposed, leveraging real-time tension modulation to detune structural frequencies from vortex shedding frequencies. Comparative analyses demonstrate rapid suppression within 20 s with nonlinear model predictive control under noise interference, achieving 97% cross-flow and 83% in-line vibration reduction, outperforming control-Lyapunov function approaches. Lift coefficients and phase trajectory analyses elucidate energy dissipation induced by backward whirling and phase-jump effects from active control. Besides, robustness tests under varying flow velocities confirm the adaptability of the proposed controller. This study demonstrates the feasibility of active tension control for VIV suppression to enhance deepwater drilling safety. vortex-induced vibrations pipe-in-pipe systems nonlinear model predictive control top tension modulation active vibration suppression 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. 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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-6859759","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":472159390,"identity":"ebe7adcc-5d91-4e52-bae0-9171a434cc36","order_by":0,"name":"Xiangyu Hou","email":"","orcid":"","institution":"Shanghai Jiao Tong University","correspondingAuthor":false,"prefix":"","firstName":"Xiangyu","middleName":"","lastName":"Hou","suffix":""},{"id":472159392,"identity":"29d5e59c-5ee5-460c-bccc-6ad492686b3e","order_by":1,"name":"Xianbo Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVRIiWNgGAWjYBACPmYgkQBC7A0MBmChAwS0sMG18BxgMDhAlBYoncAgkQBVTVALO4+ZxIOaO3n8ks8fFH9sY5Dju5HA+LkAr8N4jA0Sjj0rlpydY2BwsI3BWPJGArP0DPxaDB8ksB1O3HA7hwGkJXHDjQSgIH4tBgcS/gG13Dz+AKSlnhgthg8S24BabjCAHZZgQFgLW7FBYt/hYskeoF/OnJMwnHnmYbM0Pi38/Ie3Sf74djiPn/34M4OKMht5vuPJBz/j04JiIzD2JYA0YwORGhgYmB8QrXQUjIJRMApGFAAA6VpKxfe1kUMAAAAASUVORK5CYII=","orcid":"","institution":"Shanghai Jiao Tong University","correspondingAuthor":true,"prefix":"","firstName":"Xianbo","middleName":"","lastName":"Liu","suffix":""},{"id":472159393,"identity":"8376a249-a099-42e7-bec8-bdcaea075b54","order_by":2,"name":"Hongguang Li","email":"","orcid":"","institution":"Shanghai Jiao Tong University","correspondingAuthor":false,"prefix":"","firstName":"Hongguang","middleName":"","lastName":"Li","suffix":""},{"id":472159395,"identity":"547b53d5-8527-4f1a-859f-64c15884a88b","order_by":3,"name":"Guang Meng","email":"","orcid":"","institution":"Shanghai Jiao Tong University","correspondingAuthor":false,"prefix":"","firstName":"Guang","middleName":"","lastName":"Meng","suffix":""}],"badges":[],"createdAt":"2025-06-10 06:38:39","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6859759/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6859759/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":93462234,"identity":"e163805c-27c8-4378-974e-6d8e77ce5d42","added_by":"auto","created_at":"2025-10-14 06:32:16","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":7535653,"visible":true,"origin":"","legend":"","description":"","filename":"NonlinearcontrolofPIPXHouXLiu0610.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6859759/v1_covered_bdcbf2ff-e65a-481f-bacf-95102f6f7898.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Vortex-Induced Dynamics of a Pipe-in-Pipe System with Backward Whirling: Nonlinear Model Predictive Control with Tension-Based Detuning","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":"vortex-induced vibrations, pipe-in-pipe systems, nonlinear model predictive control, top tension modulation, active vibration suppression","lastPublishedDoi":"10.21203/rs.3.rs-6859759/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6859759/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"To advance the understanding of dynamics in offshore drilling systems, this study investigates the vortex-induced vibrations of a pipe-in-pipe structure under the combined effects of tension modulation of the riser and drill string backward whirling. A reduced-order dynamic model integrating gravity, variation of the top tension, and nonlinear fluid-structure interactions is developed. Parametric studies reveal that the backwards whirling of drill string enhances the system’s energy dissipation rate, reducing the vortex-induced vibrations by 15-40%, while direct tension modulation can break the lock-in vibration with slow convergence. An equivalent single-riser model is then derived, revealing that whirling introduces additional mass, stiffness, damping, and multi-frequency excitations. Based on this equivalent model, a nonlinear model predictive control strategy is proposed, leveraging real-time tension modulation to detune structural frequencies from vortex shedding frequencies. Comparative analyses demonstrate rapid suppression within 20 s with nonlinear model predictive control under noise interference, achieving 97% cross-flow and 83% in-line vibration reduction, outperforming control-Lyapunov function approaches. Lift coefficients and phase trajectory analyses elucidate energy dissipation induced by backward whirling and phase-jump effects from active control. Besides, robustness tests under varying flow velocities confirm the adaptability of the proposed controller. 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