Optimization of Machine Tool Settings for Spirac Hypoid Gears by Controlling Symmetry of Contact Paths

Optimization of Machine Tool Settings for Spirac Hypoid Gears by Controlling Symmetry of Contact Paths | 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 Article Optimization of Machine Tool Settings for Spirac Hypoid Gears by Controlling Symmetry of Contact Paths Jiamin Xuan, Haitao Li, Wei Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3803919/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 8 You are reading this latest preprint version Abstract A new method is developed for computing the machine tool settings for Spirac hypoid gears by controlling the symmetry of contact paths on the concave and convex tooth surfaces of the gear. By modifying the angular setting of the head cutter when cutting the pinion, the direction angles of the two contact paths are equated to estimate their symmetry. The relation between the direction angles is formulated precisely, the influence of the angular setting on the contact paths is investigated, and the equations for obtaining the values of the machine tool settings are derived. The proposed method is applied to a numerical example of a Spirac hypoid gear pair, and the results reveal that the contact paths on the concave and convex tooth surfaces are approximately symmetrical and the transmission errors of both sides are comparable. Physical sciences/Engineering/Mechanical engineering Physical sciences/Mathematics and computing/Applied mathematics Physical sciences/Materials science/Theory and computation/Computational methods hypoid gears direction angle of contact path Spirac hypoid gears machine tool setting face-hobbing Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 18 Jan, 2024 Reviews received at journal 13 Jan, 2024 Reviewers agreed at journal 08 Jan, 2024 Reviewers invited by journal 08 Jan, 2024 Editor assigned by journal 03 Jan, 2024 Editor invited by journal 03 Jan, 2024 Submission checks completed at journal 03 Jan, 2024 First submitted to journal 25 Dec, 2023 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-3803919","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":265150143,"identity":"8577a67b-3c53-48cf-8ddc-2a3b4b160c65","order_by":0,"name":"Jiamin Xuan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8klEQVRIiWNgGAWjYLACCQMGBjYG5gMMCWBuAtFa2BJI0AIBPAZQBgEtBjeSnz2wKLCL5pPu+fzhYY4NAz97jgHDzx24tUjOSDM3kDBIzm2TObvBIHFbGoNkzxsDxt4zuLXwSySYSUgYMOe2SeRuSEjcdhhob44BM2Mbbi1sEunfgFrqgVpyHhxI3PafwZ6QFn6JHJAth0FaGBsStx1gMJAgoAXo8jKgluNALWnGDInbknkkzjwrONiLR4vB8fRt0hJ/qnPnz0h+/PHnNjs5/vbkjQ9+4tECAswSSBweEHEAvwYGBsYPhFSMglEwCkbByAYAwI1K3QBgACIAAAAASUVORK5CYII=","orcid":"","institution":"Zhejiang Institute of Mechanical and Electrical Engineering","correspondingAuthor":true,"prefix":"","firstName":"Jiamin","middleName":"","lastName":"Xuan","suffix":""},{"id":265150144,"identity":"b3e77b6f-efa7-48ee-8d95-4d61f4c3c499","order_by":1,"name":"Haitao Li","email":"","orcid":"","institution":"China Agricultural University","correspondingAuthor":false,"prefix":"","firstName":"Haitao","middleName":"","lastName":"Li","suffix":""},{"id":265150145,"identity":"262aa08f-0ec4-49b1-acf7-461f48809902","order_by":2,"name":"Wei Zhang","email":"","orcid":"","institution":"Zhejiang Institute of Mechanical and Electrical Engineering","correspondingAuthor":false,"prefix":"","firstName":"Wei","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2023-12-25 09:44:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3803919/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3803919/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":49172121,"identity":"b5b4a57d-1851-4e27-a3c6-327bd1f49cc1","added_by":"auto","created_at":"2024-01-04 10:54:45","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":946428,"visible":true,"origin":"","legend":"","description":"","filename":"OptimizationofMachineToolSettingsforSpiracHypoidGearsbyControllingSymmetryofContactPaths.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3803919/v1_covered_b1d044f7-1ed6-49e1-9cbb-9ac60c9fe083.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Optimization of Machine Tool Settings for Spirac Hypoid Gears by Controlling Symmetry of Contact Paths","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":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"hypoid gears, direction angle of contact path, Spirac hypoid gears, machine tool setting, face-hobbing","lastPublishedDoi":"10.21203/rs.3.rs-3803919/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3803919/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA new method is developed for computing the machine tool settings for Spirac hypoid gears by controlling the symmetry of contact paths on the concave and convex tooth surfaces of the gear. 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