Research On The Mapping Grinding of Dimple Surface With Ordered Pattern Based On Topological Theory

Research On The Mapping Grinding of Dimple Surface With Ordered Pattern Based On Topological Theory | 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 Research On The Mapping Grinding of Dimple Surface With Ordered Pattern Based On Topological Theory Yushan Lyu, Wang Guoxun, Xingshan Li, Yongchao Qi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1281734/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 order to grind structured dimple surface, a topological mapping grinding method for structured dimple surface was proposed based on grinding kinematics principle and point set topology. Firstly, the topological space of the workpiece and the grinding wheel was established, and the topological features of the structured dimple surface and the structured grinding wheel were extracted based on the analysis of the morphology features of the structured surface with array, staggered and phyllotactic pattern. Then, the topology mapping equation of the grinding process was constructed based on the analysis of the generating mechanism of the dimple surface about grinding geometry, and the structured grinding wheel was designed according to the topology mapping equation. Finally, according to the grinding geometry simulation, the influence of grinding parameters on the generating of dimple surface morphology was studied, and the grinding experiment was carried out. The results show that the structured grinding wheel designed according to the topological features of the structured dimple surface can achieve the grinding of the structured dimple surface. The ground dimple surface is a topological dimple surface, and the feature parameters of the dimple surface can be changed with the change of grinding parameters, but the topological f eature properties remain unchanged under the condition of satisfying the proper grinding speed ratio. Grinding Topological grinding Structured dimple surface Structured grinding wheel Full Text Declaration Acknowledgements: The authors gratefully acknowledge the support for this work from Chinese National Natural Science Foundation. (No.51875368) Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 25 Jan, 2022 Reviewers invited by journal 25 Jan, 2022 Editor assigned by journal 25 Jan, 2022 First submitted to journal 20 Jan, 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. 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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-1281734","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":79048195,"identity":"8e8e8db9-63c1-4445-adfd-aec8c8d6ce8c","order_by":0,"name":"Yushan Lyu","email":"","orcid":"","institution":"Shenyang Ligong University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yushan","middleName":"","lastName":"Lyu","suffix":""},{"id":79048196,"identity":"779d9637-5485-4d9e-b5b3-44efc88cc038","order_by":1,"name":"Wang Guoxun","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYHAD5gMHPlSQpoUt8eCMM6Rp4TE+zNtChDqD42cPv/zaZpO44XbPhwO8DQzy/GIHCGg5k5dmLduWZmxw5+yGA5I7GAxnzk7Ar8XsQI6ZsWTbYTmDG7kbDhieYUgwuE1Iy/k3YC08BjdyHhxIbCNGy40c44cfwbbkMBw4SIwW+xtvzJgZzqUZS95IMzjYcEaCsF8k+3OMP/4os0nsu5H8+POfCht5fmkCWoCATZoHwZEgqBwEmD/+IErdKBgFo2AUjFgAAAM2TUNvILmiAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-2080-6514","institution":"Shenyang Ligong University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Wang","middleName":"","lastName":"Guoxun","suffix":""},{"id":79048197,"identity":"da7bf794-e485-4262-bd43-09f148f976e3","order_by":2,"name":"Xingshan Li","email":"","orcid":"","institution":"Shenyang Ligong University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Xingshan","middleName":"","lastName":"Li","suffix":""},{"id":79048198,"identity":"f82fdf0b-4bce-4737-8b6b-06208faa9b6d","order_by":3,"name":"Yongchao Qi","email":"","orcid":"","institution":"Shenyang Ligong University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yongchao","middleName":"","lastName":"Qi","suffix":""}],"badges":[],"createdAt":"2022-01-21 03:24:37","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1281734/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1281734/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":17707478,"identity":"26d94dab-6457-4a59-9ae4-00e15baaeb97","added_by":"auto","created_at":"2022-01-27 16:55:12","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1189493,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscriptjamt.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1281734/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eResearch On The Mapping Grinding of Dimple Surface With Ordered Pattern Based On Topological Theory\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1281734/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."},{"header":"Declaration","content":"\u003cp\u003e\u003cstrong\u003eAcknowledgements:\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors gratefully acknowledge the support for this work from Chinese National Natural Science Foundation. (No.51875368)\u003c/p\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":"Grinding, Topological grinding, Structured dimple surface, Structured grinding wheel","lastPublishedDoi":"10.21203/rs.3.rs-1281734/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1281734/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn order to grind structured dimple surface, a topological mapping grinding method for structured dimple surface was proposed based on grinding kinematics principle and point set topology. 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