Estimation method for geometric stability during shoe-type centerless grinding of rolling bearing parts

Estimation method for geometric stability during shoe-type centerless grinding of rolling bearing parts | 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 Estimation method for geometric stability during shoe-type centerless grinding of rolling bearing parts Oleg Zakharov, Sergey Grigoriev, Chen Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4180735/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract Centerless grinding is one of the most productive machining methods and is used in the mass production of automotive parts and rolling bearings. Shoe-type centerless grinding allows precise machining of the outer and inner shaped surfaces of bearing rings. Reducing tolerances on the size and shape of bearing parts requires improved centerless grinding. The most difficult thing is to ensure the roundness is less than 1 mm. This requires the development of mathematical models of a high degree of adequacy. This paper presents a new estimation method for geometric stability based on computer simulation. A mathematical model of centerless location on shoes with the high degree of adequacy to the real process has been developed. The main innovations of the developed method were a numerical algorithm for searching for points of contact between the part and the shoes and equation for determining the center of the part as the point of intersection of the trajectory of its movement along the opposite shoes. Based on computer modeling, the trajectories of movement of the profile points were studied and the patterns of geometric stability were established. An evaluation indicator is proposed in the form of the maximum trajectory error of the profile point during one full turn of the part. The possibility of optimizing machining by setting up shoe angles has been confirmed. Experimental verification confirmed high geometric stability due to the shoes location according to the new model. Centerless grinding Geometric stability Roundness Evaluation indicator Optimal setting Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major Revisions Needed 25 Apr, 2024 Reviewers agreed at journal 01 Apr, 2024 Reviewers invited by journal 01 Apr, 2024 Editor assigned by journal 01 Apr, 2024 First submitted to journal 28 Mar, 2024 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-4180735","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":286306349,"identity":"538c35d5-1194-41ac-b2a5-6ebe1cedf8e3","order_by":0,"name":"Oleg Zakharov","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAApklEQVRIiWNgGAWjYHACxgcJFQwMbOwkaGE2+HAGqIWZBC1skjPbQDqJVS/f3mMgzTtvmzwfMwPbZx5itDD2nDEw5t1227CNmYF5NlFamCXSEpKBWhhBWpiJ0sIG1HKYd85te+K18EgkH2yc2XA7kXgtEjyHDzN8OHY7uY2ZsZlxDjFa5Nsb238k1Ny2nd/efJjhDTFakABjA4kaRsEoGAWjYBTgBAAd0CjIzZeYEgAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-6186-6375","institution":"Yuri Gagarin State Technical University of Saratov: Saratovskij gosudarstvennyj tehniceskij universitet imeni Gagarina U A","correspondingAuthor":true,"prefix":"","firstName":"Oleg","middleName":"","lastName":"Zakharov","suffix":""},{"id":286306350,"identity":"bd2222bb-b798-4a21-b58b-c122ea294e45","order_by":1,"name":"Sergey Grigoriev","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Sergey","middleName":"","lastName":"Grigoriev","suffix":""},{"id":286306351,"identity":"307ca8d0-6ed8-4bd7-b66c-529b15a31793","order_by":2,"name":"Chen Li","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Chen","middleName":"","lastName":"Li","suffix":""}],"badges":[],"createdAt":"2024-03-28 08:34:32","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4180735/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4180735/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":54069043,"identity":"604dc8d5-0d49-41cd-9263-f0495f0cad62","added_by":"auto","created_at":"2024-04-04 06:49:40","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2109512,"visible":true,"origin":"","legend":"","description":"","filename":"ManuscriptGrigoriev.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4180735/v1_covered_94d6b82b-4728-41d6-9e7a-c589c2967845.pdf"}],"financialInterests":"","formattedTitle":"Estimation method for geometric stability during shoe-type centerless grinding of rolling bearing parts","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":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":"Centerless grinding, Geometric stability, Roundness, Evaluation indicator, Optimal setting","lastPublishedDoi":"10.21203/rs.3.rs-4180735/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4180735/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Centerless grinding is one of the most productive machining methods and is used in the mass production of automotive parts and rolling bearings. Shoe-type centerless grinding allows precise machining of the outer and inner shaped surfaces of bearing rings. Reducing tolerances on the size and shape of bearing parts requires improved centerless grinding. The most difficult thing is to ensure the roundness is less than 1 mm. This requires the development of mathematical models of a high degree of adequacy. This paper presents a new estimation method for geometric stability based on computer simulation. A mathematical model of centerless location on shoes with the high degree of adequacy to the real process has been developed. The main innovations of the developed method were a numerical algorithm for searching for points of contact between the part and the shoes and equation for determining the center of the part as the point of intersection of the trajectory of its movement along the opposite shoes. Based on computer modeling, the trajectories of movement of the profile points were studied and the patterns of geometric stability were established. An evaluation indicator is proposed in the form of the maximum trajectory error of the profile point during one full turn of the part. The possibility of optimizing machining by setting up shoe angles has been confirmed. 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