Surface profile and milling force prediction for milling thin-walled workpiece based on equivalent 3D undeformed chip thickness model

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This study developed and validated models to predict surface profile and milling forces for thin-walled workpieces by establishing an equivalent 3D undeformed chip thickness model and using regression analysis on experimental data.

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The paper develops a milling model for predicting surface profile and milling forces in thin-walled workpieces by linking cutter/workpiece relative motion geometry to undeformed chip thickness, incorporating cutter critical height, helix angle, and lag angle to derive a 3D surface profile prediction and an equivalent 3D model of chip formation. It formulates instantaneous chip cross-sectional area and blade–workpiece contact length across three chip-formation phases, then uses multiple linear regression to fit orthogonal test results for Ti-6Al-4V and build a milling force prediction model. Model accuracy is verified with a single-factor method, and the effects of different process parameters on thin-walled milling are observed. The key limitation stated in the paper context is that it is a preprint and the work has not been peer reviewed. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract Based on the relative geometric relationship between the real motion trajectory of the milling cutter and the workpiece, the undeformed chip thickness equation and the two-dimensional surface contour feature algorithm are established. By introducing the parameters of milling cutter critical height, milling cutter helix angle and lag angle parameters, the three-dimensional surface profile prediction model and the equivalent three-dimensional model considering the chip formation process are derived. And the calculation equations of the instantaneous chip cross-sectional area and the blade-workpiece contact length of the three phases of chip formation are established respectively. The multiple linear regression method was used to fit the orthogonal test results of titanium alloy Ti-6Al-4V, so as to complete the dynamic milling force identification, and finally establish the milling force prediction model. The accuracy of the prediction model was verified by the single factor method, and the influence of different parameters on the milling process of thin-walled parts was observed. The results show that the established model has high accuracy in predicting the surface profile and milling force of thin-walled parts.
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Surface profile and milling force prediction for milling thin-walled workpiece based on equivalent 3D undeformed chip thickness model | 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 Surface profile and milling force prediction for milling thin-walled workpiece based on equivalent 3D undeformed chip thickness model Xiang Li, Yadong Gong, Jibin Zhao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1497872/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract Based on the relative geometric relationship between the real motion trajectory of the milling cutter and the workpiece, the undeformed chip thickness equation and the two-dimensional surface contour feature algorithm are established. By introducing the parameters of milling cutter critical height, milling cutter helix angle and lag angle parameters, the three-dimensional surface profile prediction model and the equivalent three-dimensional model considering the chip formation process are derived. And the calculation equations of the instantaneous chip cross-sectional area and the blade-workpiece contact length of the three phases of chip formation are established respectively. The multiple linear regression method was used to fit the orthogonal test results of titanium alloy Ti-6Al-4V, so as to complete the dynamic milling force identification, and finally establish the milling force prediction model. The accuracy of the prediction model was verified by the single factor method, and the influence of different parameters on the milling process of thin-walled parts was observed. The results show that the established model has high accuracy in predicting the surface profile and milling force of thin-walled parts. Undeformed chip thickness. Milling force prediction. Surface profile. Thin-walled workpiece Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 30 Mar, 2022 Reviewers invited by journal 30 Mar, 2022 Editor assigned by journal 29 Mar, 2022 First submitted to journal 28 Mar, 2022 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-1497872","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":94771279,"identity":"65183092-7049-4349-a09e-019fddfdd74d","order_by":0,"name":"Xiang Li","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Xiang","middleName":"","lastName":"Li","suffix":""},{"id":94771280,"identity":"e69132c6-7b99-4343-afa1-a741727015ec","order_by":1,"name":"Yadong Gong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVRIiWNgGAWjYFCCBBBhw8DAzNyALEJQSxpQCyNpWg4DMbFaDI6nX3xc8Ot8NH87YwNzQcVhBn72HAOGnzvwaDnzpth4Zt/t3BmHgVpmnDnMINnzxoCx9wweLTdy0qR5e27nNoC08LYdBokYMDO2EdRyLnc+WMu/wwz2hLWkH5Pm+XEgdwNYSwPQFgkCWiTPvGE25m1Izt0I1HKY51g6j8SZZwUHe/Fo4Tue/vAxzx+73HnnDx98zFNjLcffnrzxwU88WhQO8BgwwJxxAIh5YAycQL6B/QEDwx98SkbBKBgFo2DEAwAodFa/tbV4/AAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-7930-3607","institution":"Northeastern University","correspondingAuthor":true,"prefix":"","firstName":"Yadong","middleName":"","lastName":"Gong","suffix":""},{"id":94771281,"identity":"a103543e-2923-409d-85d9-b00c1548478e","order_by":2,"name":"Jibin Zhao","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Jibin","middleName":"","lastName":"Zhao","suffix":""}],"badges":[],"createdAt":"2022-03-28 14:38:46","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1497872/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1497872/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":19878856,"identity":"6bb044a9-53e5-4373-b468-7a56a4db65b9","added_by":"auto","created_at":"2022-04-01 21:45:13","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":772653,"visible":true,"origin":"","legend":"","description":"","filename":"Themanuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1497872/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Surface profile and milling force prediction for milling thin-walled workpiece based on equivalent 3D undeformed chip thickness model","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1497872/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"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":"Undeformed chip thickness. 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