Influence of the Center Position Distribution of Ballbar on Identification Accuracy of Geometric Errors for the Rotary Axis of CNC Machine Tool

Influence of the Center Position Distribution of Ballbar on Identification Accuracy of Geometric Errors for the Rotary Axis of CNC Machine Tool | 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 Influence of the Center Position Distribution of Ballbar on Identification Accuracy of Geometric Errors for the Rotary Axis of CNC Machine Tool Shuwen Lin, Zhiwei Huang, Zhe Lu, Jianxiong Chen, Tianqi Gu, Yu Xie This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7267026/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 5 You are reading this latest preprint version Abstract By using ballbar to measure the geometric errors of the rotary axis of CNC machine tool, the distribution of ball center position of the magnetic ball socket greatly influences the identification accuracy during the ball bar test. To investigate it, a five-axis machining center being taken as an example, the mathematical model on the relationship between the six geometric errors of rotary axis and the deviation of the ball center of the magnetic ball socket through homogeneous transformation matrix was established. The effect of the distribution of the ball center positions of the ball socket on A-axis, and the sensitivity of measuring errors of the ball center positions with the ball bar on the identification accuracy of the six geometric errors, are systematically investigated during the process of the error identification for the rotary axes. Then, the optimal distribution scheme of the ball center position is got to improve the identification accuracy of the geometric errors of the rotary axis. It provides an important theoretical basis for properly installing the ball center of the magnetic ball socket during measuring the geometric errors of the rotary axis of CNC machine tool. Multi-axis machining center Rotary axis Geometric error Ballbar Ball center position distribution Identification accuracy Full Text Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Major Revisions Needed 18 Mar, 2026 Reviewers agreed at journal 10 Aug, 2025 Reviewers invited by journal 10 Aug, 2025 Editor assigned by journal 04 Aug, 2025 First submitted to journal 31 Jul, 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. 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-7267026","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":498285097,"identity":"3dda9674-ce1a-404c-93d2-aea2173c24b2","order_by":0,"name":"Shuwen Lin","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Shuwen","middleName":"","lastName":"Lin","suffix":""},{"id":498285098,"identity":"c62dd7b7-1001-4ff2-a7fa-c10e98e10a33","order_by":1,"name":"Zhiwei Huang","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Zhiwei","middleName":"","lastName":"Huang","suffix":""},{"id":498285099,"identity":"8f555b87-2905-4319-9529-12c03aee549b","order_by":2,"name":"Zhe Lu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVRIiWNgGAWjYBACPgYGNgYGAxs5fmbmAwcSKiTk5AlpYQOjgjRjyXa2xAcPzlgYGzYQpeXD4cQN53mMDR+2VSQyHCCkRSL92YMPBocTGw4zmEkkzpNIYGxgfvjoBl4tCemGMwzSjRubGdIkErdJ5LEzsBkb5+DXckyax8BatpmZ4RhISzFjAw+bNH4tiW3SfwyYGduASCJxjkRiwwGCWpLZpBkMnBV7mJmZDRIbiNHC84xNsscgzViCmY3xQcIxCWPDZgJ+4WdPfybx44+NnP358x8O/qipk5Nnb374GJ8WLICZNOWjYBSMglEwCrAAAMh1Rha2LpbCAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-2821-8688","institution":"Huainan Normal University","correspondingAuthor":true,"prefix":"","firstName":"Zhe","middleName":"","lastName":"Lu","suffix":""},{"id":498285100,"identity":"7b05ae95-92f5-4e67-98ae-9cf003375b93","order_by":3,"name":"Jianxiong Chen","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Jianxiong","middleName":"","lastName":"Chen","suffix":""},{"id":498285101,"identity":"8a686302-cc01-40f6-9561-dcdabd0155a8","order_by":4,"name":"Tianqi Gu","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Tianqi","middleName":"","lastName":"Gu","suffix":""},{"id":498285102,"identity":"29420193-c19f-43b4-b155-911be0e1b9cd","order_by":5,"name":"Yu Xie","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Yu","middleName":"","lastName":"Xie","suffix":""}],"badges":[],"createdAt":"2025-08-01 03:51:38","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7267026/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7267026/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89107850,"identity":"b8e17078-e6dc-46c5-9f24-fd71b0e06622","added_by":"auto","created_at":"2025-08-14 18:02:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":855292,"visible":true,"origin":"","legend":"","description":"","filename":"renameda7691.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7267026/v1_covered_5057058d-66e5-414c-aad4-85ca7282ae46.pdf"}],"financialInterests":"","formattedTitle":"Influence of the Center Position Distribution of Ballbar on Identification Accuracy of Geometric Errors for the Rotary Axis of CNC Machine Tool","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"the-international-journal-of-advanced-manufacturing-technology","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jamt","sideBox":"Learn more about [The International Journal of Advanced Manufacturing Technology](https://www.springer.com/journal/170)","snPcode":"170","submissionUrl":"https://submission.nature.com/new-submission/170/3","title":"The International Journal of Advanced Manufacturing Technology","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Multi-axis machining center, Rotary axis, Geometric error, Ballbar, Ball center position distribution, Identification accuracy","lastPublishedDoi":"10.21203/rs.3.rs-7267026/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7267026/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eBy using ballbar to measure the geometric errors of the rotary axis of CNC machine tool, the distribution of ball center position of the magnetic ball socket greatly influences the identification accuracy during the ball bar test. To investigate it, a five-axis machining center being taken as an example, the mathematical model on the relationship between the six geometric errors of rotary axis and the deviation of the ball center of the magnetic ball socket through homogeneous transformation matrix was established. The effect of the distribution of the ball center positions of the ball socket on A-axis, and the sensitivity of measuring errors of the ball center positions with the ball bar on the identification accuracy of the six geometric errors, are systematically investigated during the process of the error identification for the rotary axes. Then, the optimal distribution scheme of the ball center position is got to improve the identification accuracy of the geometric errors of the rotary axis. It provides an important theoretical basis for properly installing the ball center of the magnetic ball socket during measuring the geometric errors of the rotary axis of CNC machine tool.\u003c/p\u003e","manuscriptTitle":"Influence of the Center Position Distribution of Ballbar on Identification Accuracy of Geometric Errors for the Rotary Axis of CNC Machine Tool","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-08-14 17:38:20","doi":"10.21203/rs.3.rs-7267026/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major Revisions Needed","date":"2026-03-18T08:48:39+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2025-08-11T03:25:57+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-08-10T12:13:57+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-08-04T09:58:01+00:00","index":"","fulltext":""},{"type":"submitted","content":"The International Journal of Advanced Manufacturing Technology","date":"2025-07-31T23:50:52+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"the-international-journal-of-advanced-manufacturing-technology","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"jamt","sideBox":"Learn more about [The International Journal of Advanced Manufacturing Technology](https://www.springer.com/journal/170)","snPcode":"170","submissionUrl":"https://submission.nature.com/new-submission/170/3","title":"The International Journal of Advanced Manufacturing Technology","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"0b9e04f5-e401-4b19-9737-5a1b6d1d5971","owner":[],"postedDate":"August 14th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"in-revision","subjectAreas":[],"tags":[],"updatedAt":"2026-04-29T05:17:41+00:00","versionOfRecord":[],"versionCreatedAt":"2025-08-14 17:38:20","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7267026","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7267026","identity":"rs-7267026","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}