Hausdorff Distance-based Tool Position Planning Method for Plunge Milling of 3D Impeller Channels in Shroud-enabled Blade Milling

Hausdorff Distance-based Tool Position Planning Method for Plunge Milling of 3D Impeller Channels in Shroud-enabled Blade Milling | 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 Hausdorff Distance-based Tool Position Planning Method for Plunge Milling of 3D Impeller Channels in Shroud-enabled Blade Milling yang Min Chen, Lei Dong This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6274183/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 In the context of plunge milling for rough-machined three-dimensional (3D) impeller channels using the shroud-enabled blade milling method, substantial non-uniform allowances often persist on the inner surface of the shroud. To address this issue, in the present study, a tool pose and position optimisation method based on the Hausdorff distance was proposed. A mathematical model was developed to optimise the initial pose and position of a flat-bottomed tool by minimising the unidirectional Hausdorff distance from its bottom plane to the inner surface of the shroud. This optimisation ensures that the allowance on the inner surface of the shroud after plunge milling is both minimal and uniformly distributed. Numerical simulations demonstrate that the proposed method reduced the mean absolute error by 57.79% and significantly enhanced the uniformity of the error distribution, thereby verifying its effectiveness in improving machining accuracy. 3D impeller channel plunge milling minimum unidirectional Hausdorff distance tool pose and position optimisation numerical example reduced allowance and improved its uniformity Full Text Supplementary Files Acknowledgment.docx ConflictsofInterest.docx Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 24 Mar, 2025 Reviewers invited by journal 24 Mar, 2025 Editor assigned by journal 23 Mar, 2025 First submitted to journal 20 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. 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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-6274183","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":433028067,"identity":"b794eda8-4624-423c-8f96-5062865b3dce","order_by":0,"name":"yang Min Chen","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"yang","middleName":"Min","lastName":"Chen","suffix":""},{"id":433028068,"identity":"6979df55-1237-4394-9808-036fb2bf8bf6","order_by":1,"name":"Lei Dong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2klEQVRIie3PoQvCQBTH8SfCLEPrW/FvOBDUIOxf+R3CkoJxQcSkQf1fVm1DwZXTvGA4ixhntIib69tFwfvCu1feJxyRzfaLxfloYhIEqRGODAlKMhZaBcaECuJ4t9WhXrST3fGBcOgPWriHcGLqrDeoJJ66BEMolvutDlK4V2J1jiqJSCd9IVcMkSInfCfBUxPyZr8gM4ijEelpueRGlBMCDIinVJ9wYhkpPWbEgVv7l3ay7WXZfOGLZCKfr/eo21nvqkmew+V28X3rzouaWblbscm1zWaz/WEfmNFTCQv054YAAAAASUVORK5CYII=","orcid":"","institution":"Shanghai Dianji University","correspondingAuthor":true,"prefix":"","firstName":"Lei","middleName":"","lastName":"Dong","suffix":""}],"badges":[],"createdAt":"2025-03-21 05:23:05","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6274183/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6274183/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":79686198,"identity":"6536704f-b766-44e3-bcf7-93d66f1f321f","added_by":"auto","created_at":"2025-04-01 13:47:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":849485,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6274183/v1_covered_a92b342c-9ad8-453f-973f-56e755ea0e40.pdf"},{"id":79686196,"identity":"ad614dd6-b585-4057-8f41-ba31a384a99d","added_by":"auto","created_at":"2025-04-01 13:46:58","extension":"docx","order_by":5,"title":"","display":"","copyAsset":false,"role":"supplement","size":13359,"visible":true,"origin":"","legend":"","description":"","filename":"Acknowledgment.docx","url":"https://assets-eu.researchsquare.com/files/rs-6274183/v1/cad06be93d12a0d53ba90f46.docx"},{"id":79685733,"identity":"0ab7e790-2e91-472a-ba16-961d536d37ca","added_by":"auto","created_at":"2025-04-01 13:38:57","extension":"docx","order_by":6,"title":"","display":"","copyAsset":false,"role":"supplement","size":13289,"visible":true,"origin":"","legend":"","description":"","filename":"ConflictsofInterest.docx","url":"https://assets-eu.researchsquare.com/files/rs-6274183/v1/8e369d12ae4a881e94b4a010.docx"}],"financialInterests":"","formattedTitle":"Hausdorff Distance-based Tool Position Planning Method for Plunge Milling of 3D Impeller Channels in Shroud-enabled Blade Milling","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":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":"3D impeller channel plunge milling, minimum unidirectional Hausdorff distance, tool pose and position optimisation, numerical example, reduced allowance and improved its uniformity","lastPublishedDoi":"10.21203/rs.3.rs-6274183/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6274183/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn the context of plunge milling for rough-machined three-dimensional (3D) impeller channels using the shroud-enabled blade milling method, substantial non-uniform allowances often persist on the inner surface of the shroud. To address this issue, in the present study, a tool pose and position optimisation method based on the Hausdorff distance was proposed. A mathematical model was developed to optimise the initial pose and position of a flat-bottomed tool by minimising the unidirectional Hausdorff distance from its bottom plane to the inner surface of the shroud. This optimisation ensures that the allowance on the inner surface of the shroud after plunge milling is both minimal and uniformly distributed. 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