Study on the transverse hardness distribution in strip-induced vibration of the Stand S4 cold rolling mill

Study on the transverse hardness distribution in strip-induced vibration of the Stand S4 cold rolling mill | 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 Article Study on the transverse hardness distribution in strip-induced vibration of the Stand S4 cold rolling mill Weiquan Sun, Xiaoqiang Yan, Lirong Sun, Shen Wang, Zongqing Yan, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7575435/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 04 Dec, 2025 Read the published version in Scientific Reports → Version 1 posted 13 You are reading this latest preprint version Abstract To identify the root cause of the abnormal 186Hz vibration amplitude in Stand S4 of a cold rolling mill, this study analyzes the statistical characteristics of two distinct transverse hardness profiles across the strip width. The influence of both individual hardness distributions and their interaction with strip surface morphology on the amplitude frequency response of the Stand S4 is systematically investigated. A novel finite element simulation model is proposed to represent the spatially varying hardness distribution across the strip width, overcoming the limitations of conventional models that assume uniform or single-value hardness. The results demonstrate that the transverse hardness profile is a primary contributor to the excessive vibration at 186Hz. While surface morphology can amplify the vibration amplitude, the degree of amplification is modulated by the underlying hardness statistics. Specifically, the vibration amplitude exhibits a negative correlation with the mean hardness and a positive correlation with the standard deviation of hardness, highlighting the critical role of both average material properties and local non-uniformity in dynamic excitation. Physical sciences/Engineering Physical sciences/Materials science Physical sciences/Physics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 04 Dec, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 30 Sep, 2025 Reviews received at journal 29 Sep, 2025 Reviews received at journal 29 Sep, 2025 Reviews received at journal 28 Sep, 2025 Reviewers agreed at journal 21 Sep, 2025 Reviewers agreed at journal 19 Sep, 2025 Reviewers agreed at journal 19 Sep, 2025 Reviewers agreed at journal 19 Sep, 2025 Reviewers invited by journal 18 Sep, 2025 Editor assigned by journal 18 Sep, 2025 Editor invited by journal 18 Sep, 2025 Submission checks completed at journal 16 Sep, 2025 First submitted to journal 16 Sep, 2025 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. 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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-7575435","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":522394969,"identity":"c9ac1ae1-eb08-48cc-965e-d47dee91d8c8","order_by":0,"name":"Weiquan Sun","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/0lEQVRIie3QMWrDMBSAYQmBurj2KhNor/CCoVDqm3SRMbiLs3sI7QsBTTlAeose4QmBs+gA2dqSC3hrhkKrQqeCU3froH8U74P3xFgs9h8jsaIBygt5ebAvQ3hIGRO/EI522zVFxpp6vmVMySnEJd5Vj9hezZIpJN2tkM6N4E9EMCs7dy/P1g7YsrwdI7m3SLmRAizqovVOyaSvNeubBY4Q2FdIc5NIcIzqhQlEtcXXtuPk+RWpMiqBPoxdTyJ7jkQeVL4RfM2/iT5Fcl+hxU5DpqTgG3+Xm3AL6BO3pDtnD+/w8WBU9nY8djdZFn5MDctylIyk/zYei8VisR99Ap5lYgB6jk6UAAAAAElFTkSuQmCC","orcid":"","institution":"University of Science and Technology Beijing","correspondingAuthor":true,"prefix":"","firstName":"Weiquan","middleName":"","lastName":"Sun","suffix":""},{"id":522394970,"identity":"3913e45b-4397-4031-9b8d-ce80e34d90be","order_by":1,"name":"Xiaoqiang Yan","email":"","orcid":"","institution":"University of Science and Technology Beijing","correspondingAuthor":false,"prefix":"","firstName":"Xiaoqiang","middleName":"","lastName":"Yan","suffix":""},{"id":522394971,"identity":"2b6e2cf6-dbec-4c53-9044-673629dbd8fe","order_by":2,"name":"Lirong Sun","email":"","orcid":"","institution":"SD STEEL RIZHAO CO. 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mill","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":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-7575435/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7575435/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"To identify the root cause of the abnormal 186Hz vibration amplitude in Stand S4 of a cold rolling mill, this study analyzes the statistical characteristics of two distinct transverse hardness profiles across the strip width. The influence of both individual hardness distributions and their interaction with strip surface morphology on the amplitude frequency response of the Stand S4 is systematically investigated. A novel finite element simulation model is proposed to represent the spatially varying hardness distribution across the strip width, overcoming the limitations of conventional models that assume uniform or single-value hardness. The results demonstrate that the transverse hardness profile is a primary contributor to the excessive vibration at 186Hz. While surface morphology can amplify the vibration amplitude, the degree of amplification is modulated by the underlying hardness statistics. Specifically, the vibration amplitude exhibits a negative correlation with the mean hardness and a positive correlation with the standard deviation of hardness, highlighting the critical role of both average material properties and local non-uniformity in dynamic excitation.","manuscriptTitle":"Study on the transverse hardness distribution in strip-induced vibration of the Stand S4 cold rolling mill","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-30 19:53:05","doi":"10.21203/rs.3.rs-7575435/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-09-30T08:41:19+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-29T16:10:50+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-29T09:22:04+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-29T01:33:40+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"50117963766750012279197989688606136355","date":"2025-09-21T23:14:17+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"270903745284581269499899830616903217878","date":"2025-09-19T18:31:06+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"281931227707136264273133584311223741329","date":"2025-09-19T05:28:49+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"127111454033711987497343589875532236031","date":"2025-09-19T04:30:44+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-09-18T14:58:43+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-09-18T14:50:11+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2025-09-18T10:53:58+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-09-17T01:02:29+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2025-09-17T00:59:44+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"b64d10e9-5ea1-44cd-9d5b-a3aecfc26f2a","owner":[],"postedDate":"September 30th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":55523894,"name":"Physical sciences/Engineering"},{"id":55523895,"name":"Physical sciences/Materials science"},{"id":55523896,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2025-12-08T15:58:46+00:00","versionOfRecord":{"articleIdentity":"rs-7575435","link":"https://doi.org/10.1038/s41598-025-31129-4","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2025-12-04 15:56:54","publishedOnDateReadable":"December 4th, 2025"},"versionCreatedAt":"2025-09-30 19:53:05","video":"","vorDoi":"10.1038/s41598-025-31129-4","vorDoiUrl":"https://doi.org/10.1038/s41598-025-31129-4","workflowStages":[]},"version":"v1","identity":"rs-7575435","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7575435","identity":"rs-7575435","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}