Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast | 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 Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast Tongtong Sun, Paolo Gasbarri, Lin Du, Zichen Deng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4741721/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 27 Sep, 2024 Read the published version in Aerotecnica Missili & Spazio → Version 1 posted 9 You are reading this latest preprint version Abstract This work presents the longitudinal and transverse coupling vibrations of a deployable Telescopic Tubular Mast (TTM), a multi-stepped structure integrated into a spacecraft system, while considering the rigid-flexible coupling phenomenon. The model is derived using the principle of virtual work and discretized via the variable separation method. The von Kármán strain is employed to incorporate geometric nonlinear effects. Semi-analytical results for the shape functions and natural frequencies of the quasi-static multi-stepped boom are obtained using the extended transfer matrix method (ETMM). These natural frequencies are validated against results from Nastran, confirming the ETMM's accuracy Additionally, the model accounts for the continuously changing natural frequencies and shape functions during the deployment phase. Finally, the dynamic phenomena of the longitudinal and transverse displacements are analyzed at various deploying states, including locking and restart behaviors. The influence of the structural damping on the vibration evolution is also contained in the numerical analysis. Flexible Vibration Nonlinear dynamics Telescopic Tubular Mast Deploying Process Extended Transfer Matrix Method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 27 Sep, 2024 Read the published version in Aerotecnica Missili & Spazio → Version 1 posted Editorial decision: Revision requested 12 Aug, 2024 Reviews received at journal 11 Aug, 2024 Reviews received at journal 05 Aug, 2024 Reviewers agreed at journal 17 Jul, 2024 Reviewers agreed at journal 16 Jul, 2024 Reviewers invited by journal 16 Jul, 2024 Editor assigned by journal 16 Jul, 2024 Submission checks completed at journal 16 Jul, 2024 First submitted to journal 15 Jul, 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. 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-4741721","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":335926170,"identity":"266f0d40-3050-4a3e-9f29-bf49ea86861a","order_by":0,"name":"Tongtong Sun","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Tongtong","middleName":"","lastName":"Sun","suffix":""},{"id":335926171,"identity":"916dc924-fcb8-424d-9774-7d696ca6ad79","order_by":1,"name":"Paolo Gasbarri","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABC0lEQVRIiWNgGAWjYHACxgNgSgJEGNgwMDBDuWx49CBrSYNpsWBgw6MHSQvDYZhgBQMua8zZDx848IGhVl5+dvOzzxUF5xO3s/M+fHSjRoKBT74BqxbLnrSEgzMYjhtuuHPMeOYZg9uJO5vZjY1zjkngdJjBgRyDwzwMxxg3SCQYMzYAtWw4zMYmncOGR8v5N2At9vNnpH8GajkH1fIPj5YbYFtqEhtu5IBsOQDRktuGW4vljGdAvxgcSN5w50wxUEuyMVALs3FunwQPG1sC9hDjTz744ENFne382e2bGRv+2MluOH+M8XHOtzo5+eYD2B0GIQ9jyvBgdxZMC0MdLvlRMApGwSgYBQwMAKZzWmLAdBJsAAAAAElFTkSuQmCC","orcid":"","institution":"Sapienza University of Rome","correspondingAuthor":true,"prefix":"","firstName":"Paolo","middleName":"","lastName":"Gasbarri","suffix":""},{"id":335926172,"identity":"63df843c-9745-4242-8a5e-35d897b02496","order_by":2,"name":"Lin Du","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Lin","middleName":"","lastName":"Du","suffix":""},{"id":335926173,"identity":"0536b9ce-8097-46d5-b94b-6522b3c20439","order_by":3,"name":"Zichen Deng","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Zichen","middleName":"","lastName":"Deng","suffix":""}],"badges":[],"createdAt":"2024-07-15 08:51:06","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4741721/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4741721/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s42496-024-00234-4","type":"published","date":"2024-09-27T15:57:21+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":65627203,"identity":"7b3cae02-3707-4d4a-9b2c-e432ad4458bd","added_by":"auto","created_at":"2024-09-30 16:13:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":778882,"visible":true,"origin":"","legend":"","description":"","filename":"AMS2024DynamicmodellingandperformanceanalysisofdeployableTelescopicTubularMast.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4741721/v1_covered_964b7d2d-2284-40b3-862e-cbd6505ef890.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast","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":"aerotecnica-missili-and-spazio","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"atms","sideBox":"Learn more about [Aerotecnica Missili \u0026 Spazio](http://link.springer.com/journal/42496)","snPcode":"42496","submissionUrl":"https://submission.nature.com/new-submission/42496/3","title":"Aerotecnica Missili \u0026 Spazio","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Flexible Vibration, Nonlinear dynamics, Telescopic Tubular Mast, Deploying Process, Extended Transfer Matrix Method","lastPublishedDoi":"10.21203/rs.3.rs-4741721/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4741721/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis work presents the longitudinal and transverse coupling vibrations of a deployable Telescopic Tubular Mast (TTM), a multi-stepped structure integrated into a spacecraft system, while considering the rigid-flexible coupling phenomenon. The model is derived using the principle of virtual work and discretized via the variable separation method. The von K\u0026aacute;rm\u0026aacute;n strain is employed to incorporate geometric nonlinear effects. Semi-analytical results for the shape functions and natural frequencies of the quasi-static multi-stepped boom are obtained using the extended transfer matrix method (ETMM). These natural frequencies are validated against results from Nastran, confirming the ETMM's accuracy Additionally, the model accounts for the continuously changing natural frequencies and shape functions during the deployment phase. Finally, the dynamic phenomena of the longitudinal and transverse displacements are analyzed at various deploying states, including locking and restart behaviors. The influence of the structural damping on the vibration evolution is also contained in the numerical analysis.\u003c/p\u003e","manuscriptTitle":"Dynamic modelling and performance analysis of deployable Telescopic Tubular Mast","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-08-08 18:33:54","doi":"10.21203/rs.3.rs-4741721/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-08-12T07:20:09+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-08-11T21:40:24+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-08-05T05:27:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"54941668759479704101918184290629792068","date":"2024-07-17T10:22:41+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"167840196154125919196537916227301298506","date":"2024-07-16T07:52:37+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-07-16T07:41:57+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-07-16T07:33:35+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-07-16T06:51:23+00:00","index":"","fulltext":""},{"type":"submitted","content":"Aerotecnica Missili \u0026 Spazio","date":"2024-07-15T08:48:23+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"aerotecnica-missili-and-spazio","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"atms","sideBox":"Learn more about [Aerotecnica Missili \u0026 Spazio](http://link.springer.com/journal/42496)","snPcode":"42496","submissionUrl":"https://submission.nature.com/new-submission/42496/3","title":"Aerotecnica Missili \u0026 Spazio","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"3cb2b09f-2026-49c2-b3c2-ed2380942c51","owner":[],"postedDate":"August 8th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2024-09-30T16:02:14+00:00","versionOfRecord":{"articleIdentity":"rs-4741721","link":"https://doi.org/10.1007/s42496-024-00234-4","journal":{"identity":"aerotecnica-missili-and-spazio","isVorOnly":false,"title":"Aerotecnica Missili \u0026 Spazio"},"publishedOn":"2024-09-27 15:57:21","publishedOnDateReadable":"September 27th, 2024"},"versionCreatedAt":"2024-08-08 18:33:54","video":"","vorDoi":"10.1007/s42496-024-00234-4","vorDoiUrl":"https://doi.org/10.1007/s42496-024-00234-4","workflowStages":[]},"version":"v1","identity":"rs-4741721","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4741721","identity":"rs-4741721","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.