An Integrated Dynamic Designed and Modelling Approach for Precision Roller Rotary Table Machine Tool

An Integrated Dynamic Designed and Modelling Approach for Precision Roller Rotary Table 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 An Integrated Dynamic Designed and Modelling Approach for Precision Roller Rotary Table Machine Tool Aman Ullah, Tzu-Chi Chan, Shinn-Liang Liang Chang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6291526/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 25 Jun, 2025 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted 5 You are reading this latest preprint version Abstract The effectiveness of roller rotary table machine tools is crucial for high-precision multi-axis CNC machining, yet stiffness variations at different angular positions induce vibrations and machining errors. Despite advancements in rotary table technology, the influence of spatial location on modal properties and stiffness behaviour remains underexplored. This study employs a hybrid numerical-experimental approach integrating modal analysis, static stiffness evaluation, and deformation compensation. Modal analysis confirmed the impact of angular orientation on structural dynamics, with the peak natural frequency of 719.07 Hz at + 90°, signifying increased rigidity, while intermediate angles exhibited reduced stiffness, necessitating adaptive vibration control. Finite element analysis-based static stiffness assessment across six angular configurations (+ 30°, − 30°, + 60°, − 60°, + 90°, − 90°) revealed maximum deformation at -90° (0.896 µm) and minimum at + 90° (0.508 µm). A stress transformation model using homogeneous transformation matrices and spatial mapping accurately captured deformation patterns, enabling precise stiffness compensation. An error compensation framework, incorporating an arithmetic mean error correction (AME = 0.74 µm), minimized residual stiffness variations, improving machining stability, tool positioning accuracy, and vibration suppression. This study provides a systematic computational-experimental method to assess and optimize stiffness variability in roller rotary tables, enhancing rigidity consistency in high-precision machining applications. Rotary Table Stiffness Modal Analysis FEA Stiffness Evaluation Error Compensation Full Text Cite Share Download PDF Status: Published Journal Publication published 25 Jun, 2025 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted Editorial decision: Minor Revisions Needed 09 Jun, 2025 Reviewers agreed at journal 18 Apr, 2025 Reviewers invited by journal 27 Mar, 2025 Editor assigned by journal 27 Mar, 2025 First submitted to journal 25 Mar, 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. 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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-6291526","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":434832514,"identity":"0d4e047e-ef2d-4bca-926f-62e32bf93005","order_by":0,"name":"Aman Ullah","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Aman","middleName":"","lastName":"Ullah","suffix":""},{"id":434832515,"identity":"4e2e105a-e710-4c85-a6e2-f5975a1ce1d4","order_by":1,"name":"Tzu-Chi Chan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvElEQVRIiWNgGAWjYHACNiC2YWBvAFI8xKjngWhJY+A5AOFJEKvlMAla7NkPP3vwc8f5PB6JBMYHb9sY6gwOELKFJ83csPfM7WKgFmbDuW0MEoS1SPCwSfC23U7cL5HAJs0L1GJGjBbJv23nEnskEth/E60FaPgBkBY2ZuK0nEkzk5ZtS07s4XnYLDnnnITkfkJa2NsPP5N822aX2MOefPDDmzIbfskGAlqQACNILeFoGQWjYBSMglFABAAAEw029Byz1JEAAAAASUVORK5CYII=","orcid":"","institution":"National Formosa University","correspondingAuthor":true,"prefix":"","firstName":"Tzu-Chi","middleName":"","lastName":"Chan","suffix":""},{"id":434832516,"identity":"1edd75a0-9d8b-4e22-96f8-8770fac3dc88","order_by":2,"name":"Shinn-Liang Liang Chang","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Shinn-Liang","middleName":"Liang","lastName":"Chang","suffix":""}],"badges":[],"createdAt":"2025-03-24 04:27:49","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6291526/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6291526/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00170-025-15972-3","type":"published","date":"2025-06-25T15:57:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":85686068,"identity":"8fa4c11a-9f73-4131-95f5-47c716c61ff4","added_by":"auto","created_at":"2025-06-30 16:02:43","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":826582,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6291526/v1_covered_3cd4a114-8208-4631-b231-f8fc376548f1.pdf"}],"financialInterests":"","formattedTitle":"An Integrated Dynamic Designed and Modelling Approach for Precision Roller Rotary Table Machine Tool","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":"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":"Rotary Table Stiffness, Modal Analysis, FEA Stiffness Evaluation, Error Compensation","lastPublishedDoi":"10.21203/rs.3.rs-6291526/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6291526/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe effectiveness of roller rotary table machine tools is crucial for high-precision multi-axis CNC machining, yet stiffness variations at different angular positions induce vibrations and machining errors. Despite advancements in rotary table technology, the influence of spatial location on modal properties and stiffness behaviour remains underexplored. This study employs a hybrid numerical-experimental approach integrating modal analysis, static stiffness evaluation, and deformation compensation. Modal analysis confirmed the impact of angular orientation on structural dynamics, with the peak natural frequency of 719.07 Hz at +\u0026thinsp;90\u0026deg;, signifying increased rigidity, while intermediate angles exhibited reduced stiffness, necessitating adaptive vibration control. Finite element analysis-based static stiffness assessment across six angular configurations (+\u0026thinsp;30\u0026deg;, \u0026minus;\u0026thinsp;30\u0026deg;, +\u0026thinsp;60\u0026deg;, \u0026minus;\u0026thinsp;60\u0026deg;, +\u0026thinsp;90\u0026deg;, \u0026minus;\u0026thinsp;90\u0026deg;) revealed maximum deformation at -90\u0026deg; (0.896 \u0026micro;m) and minimum at +\u0026thinsp;90\u0026deg; (0.508 \u0026micro;m). A stress transformation model using homogeneous transformation matrices and spatial mapping accurately captured deformation patterns, enabling precise stiffness compensation. An error compensation framework, incorporating an arithmetic mean error correction (AME\u0026thinsp;=\u0026thinsp;0.74 \u0026micro;m), minimized residual stiffness variations, improving machining stability, tool positioning accuracy, and vibration suppression. This study provides a systematic computational-experimental method to assess and optimize stiffness variability in roller rotary tables, enhancing rigidity consistency in high-precision machining applications.\u003c/p\u003e","manuscriptTitle":"An Integrated Dynamic Designed and Modelling Approach for Precision Roller Rotary Table Machine Tool","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-15 11:55:42","doi":"10.21203/rs.3.rs-6291526/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Minor Revisions Needed","date":"2025-06-09T22:41:42+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2025-04-18T18:06:41+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-03-27T12:36:29+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-03-27T05:02:57+00:00","index":"","fulltext":""},{"type":"submitted","content":"The International Journal of Advanced Manufacturing Technology","date":"2025-03-25T21:35:13+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":"7f493c56-bb53-43b6-a59c-d8d969bc40cd","owner":[],"postedDate":"April 15th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-06-30T15:58:49+00:00","versionOfRecord":{"articleIdentity":"rs-6291526","link":"https://doi.org/10.1007/s00170-025-15972-3","journal":{"identity":"the-international-journal-of-advanced-manufacturing-technology","isVorOnly":false,"title":"The International Journal of Advanced Manufacturing Technology"},"publishedOn":"2025-06-25 15:57:00","publishedOnDateReadable":"June 25th, 2025"},"versionCreatedAt":"2025-04-15 11:55:42","video":"","vorDoi":"10.1007/s00170-025-15972-3","vorDoiUrl":"https://doi.org/10.1007/s00170-025-15972-3","workflowStages":[]},"version":"v1","identity":"rs-6291526","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6291526","identity":"rs-6291526","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}