A New Geometry Definition and Generation Method For a Face Gear Meshed With a Spur Pinion | 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 Original Article A New Geometry Definition and Generation Method For a Face Gear Meshed With a Spur Pinion Xianlong Peng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-143568/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 06 Dec, 2021 Read the published version in Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture → Version 1 posted You are reading this latest preprint version Abstract The conventional tooth surface of a face gear is difficult to manufacture, and the cutter is not uniform even though the parameters of its mating pinion slightly change. Based on the analysis of the features of the tooth surface, a new developable ruled surface approach is proposed that defines the tooth flank of the face gear, for which the most important feature is that it could be generated by a straight-edged cutter. This study presents mathematical models of the cutter and the new tooth surface and the corresponding deviation, correction and generation method for this surface, which are investigated through numerical examples. The manufacturing process is simulated by VERICUT software, and the results demonstrate that even when the principle deviation is added to the machined deviation, the absolute deviation is on the microscale. The meshing and contact simulation shows that the new surface could obtain good meshing performance when the number of face gear teeth is greater than three times the number of pinion teeth. This research provides a new method for manufacturing face gears. Mechanical Engineering Face gear Geometry definition Manufacturing Surface deviation Meshing performance Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 Figure 14 Figure 15 Figure 16 Full Text Cite Share Download PDF Status: Published Journal Publication published 06 Dec, 2021 Read the published version in Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture → Version 1 posted 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-143568","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Original Article","associatedPublications":[],"authors":[{"id":7838131,"identity":"78e2220e-da29-45a0-b76d-0264d302bebd","order_by":0,"name":"Xianlong Peng","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1UlEQVRIiWNgGAWjYFAC5gYDxgYbKIeNKC2MIC1pIL0kaAGiwyRoMZdIbCj8ueN84obz5w8wfCg7zMA/uwG/Fsuegw3GvGduGxvcSGZgnHHuMIPEnQP4tRgcb2wwZmy7LWdwg5mBmbftMIOBRAIBLYcZGwx/tp3jMTh/mIH5L1FagLYY8LYdkDM4kMzAzEiMFohf2pKNJW8kGxzsOZfOI3GDgBZzieRjQIfZJfadP/jwwY8yazn+GYQcBowLAxjnABDz4FcP0cL8gKCqUTAKRsEoGNkAAERLRPiVRn8JAAAAAElFTkSuQmCC","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":true,"prefix":"","firstName":"Xianlong","middleName":"","lastName":"Peng","suffix":""}],"badges":[],"createdAt":"2021-01-08 17:11:51","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-143568/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-143568/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1177/09544054211060927","type":"published","date":"2021-12-06T10:27:13+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":4931128,"identity":"dac4bd76-92ef-4ffd-8132-0b34dde6b008","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":38993,"visible":true,"origin":"","legend":"Face gear meshed with a pinion (i=1) or a shaper (i=s)","description":"","filename":"Fig01.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/0653f57f319b4aad99cd7d10.png"},{"id":4931130,"identity":"b0cb0d9a-d8a8-4017-b22d-bfdf69f6d82b","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":26871,"visible":true,"origin":"","legend":"A Special Contact Line in Surfaces Σs and Σ2","description":"","filename":"Fig02.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/59bdedc60a749a754997bad9.png"},{"id":4931138,"identity":"5cc64f08-ba4b-4b1f-8d49-5b1898209f09","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":35317,"visible":true,"origin":"","legend":"Involute and tangent line at any point","description":"","filename":"Fig03.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/ab79cef39aac6ad17e210894.png"},{"id":4931532,"identity":"14cec3e2-01e0-4bde-9cd6-e24a32692281","added_by":"auto","created_at":"2021-01-13 17:47:08","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":18272,"visible":true,"origin":"","legend":"Sketch of the differential angle between lines sl and gl","description":"","filename":"Fig04.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/aa1100b15333e3a0e97a63ae.png"},{"id":4931533,"identity":"8e5b5a39-f953-4d2a-86ac-15287ca45639","added_by":"auto","created_at":"2021-01-13 17:47:08","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":28455,"visible":true,"origin":"","legend":"Suitable cutters for new tooth surface generation: (a)\nfinger-shaped cutter, (b) cylindrical milling cutter, (c) cone disk milling cutter/grinding wheel, and (d) planing cutter","description":"","filename":"Fig05.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/bb74db3b2b2c94f2bfb0b232.png"},{"id":4931131,"identity":"3922cbed-2231-4ef4-ae6a-27d2ba017ef5","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":31963,"visible":true,"origin":"","legend":"Five-axis NC planer used for face gear generation","description":"","filename":"Fig06.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/82aeac29459457d81f5e4ed9.png"},{"id":4931324,"identity":"da50e724-c6ec-4c0b-899c-6149b37b1d46","added_by":"auto","created_at":"2021-01-13 17:44:08","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":23913,"visible":true,"origin":"","legend":"Coordinate systems for face gear generation","description":"","filename":"Fig07.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/9af48d5547d00e9c62ecd77c.png"},{"id":4931329,"identity":"47902a75-d12f-48e8-9a3d-c5c37c3c062e","added_by":"auto","created_at":"2021-01-13 17:44:09","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":25213,"visible":true,"origin":"","legend":"Double crowning for the newly defined tooth surface","description":"","filename":"Fig08.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/0531fc9b39c888c490ff67b3.png"},{"id":4931326,"identity":"98072f22-e6cd-4e5a-b4a6-6e2a6676be6f","added_by":"auto","created_at":"2021-01-13 17:44:08","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":26047,"visible":true,"origin":"","legend":"Direction angles of the straight profile line","description":"","filename":"Fig09.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/1c8a6627e7b2d62baf827ceb.png"},{"id":4931327,"identity":"315f1b8e-526d-4daa-b68d-ff7fb0218fda","added_by":"auto","created_at":"2021-01-13 17:44:08","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":26294,"visible":true,"origin":"","legend":"Deviation in the straight profile line","description":"","filename":"Fig10.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/7e8841feda297d7849a2d8a4.png"},{"id":4931142,"identity":"32f03387-a3f7-4e4a-bc19-5ba138540d40","added_by":"auto","created_at":"2021-01-13 17:41:09","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":29768,"visible":true,"origin":"","legend":"Deviation in the developable ruled surface","description":"","filename":"Fig11.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/666b4388bdb92c91a9c3d938.png"},{"id":4931143,"identity":"2d7f37c9-d776-4a8b-b454-fe20b67cc2fd","added_by":"auto","created_at":"2021-01-13 17:41:09","extension":"png","order_by":12,"title":"Figure 12","display":"","copyAsset":false,"role":"figure","size":29034,"visible":true,"origin":"","legend":"Differential angle of the straight profile line","description":"","filename":"Fig12.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/a47233d5d0a170e877d9df93.png"},{"id":4931141,"identity":"0601e842-f76f-47e6-8820-8f3cb3df7173","added_by":"auto","created_at":"2021-01-13 17:41:09","extension":"png","order_by":13,"title":"Figure 13","display":"","copyAsset":false,"role":"figure","size":29342,"visible":true,"origin":"","legend":"Deviation in surface ΣN2 after correction","description":"","filename":"Fig13.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/35d71a28058158ae4c819333.png"},{"id":4931139,"identity":"177d530e-c2d6-42d3-a78a-d629cb2a53bc","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":14,"title":"Figure 14","display":"","copyAsset":false,"role":"figure","size":558921,"visible":true,"origin":"","legend":"Cutting simulation for the face gear using VERICUT (its video is on the web: https://v.qq.com/x/page/z3133gsj38v.html)","description":"","filename":"Fig14.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/c6ffd9ed3054aabecff814b3.png"},{"id":4931140,"identity":"2364b6bc-76ee-4d64-a22a-82b95e5d3623","added_by":"auto","created_at":"2021-01-13 17:41:08","extension":"png","order_by":15,"title":"Figure 15","display":"","copyAsset":false,"role":"figure","size":163238,"visible":true,"origin":"","legend":"Results of the simulated tooth surface","description":"","filename":"Fig15.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/5f1ac5a2d53293c4867160ce.png"},{"id":4931323,"identity":"26c6ec88-ceff-406c-b71d-d5a0b9437aa6","added_by":"auto","created_at":"2021-01-13 17:44:08","extension":"png","order_by":16,"title":"Figure 16","display":"","copyAsset":false,"role":"figure","size":68276,"visible":true,"origin":"","legend":"Results of meshing and contact simulation","description":"","filename":"Fig16.png","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1/8dd03e1c8651c615b38d8f8c.png"},{"id":16200173,"identity":"940f3237-ec2f-48c5-9b54-bd159c86c011","added_by":"auto","created_at":"2021-12-06 10:27:29","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1488161,"visible":true,"origin":"","legend":"","description":"","filename":"geometrydefinition.pdf","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1_covered.pdf"},{"id":13573835,"identity":"4e99a205-1fc7-4db5-b261-152e17710ca7","added_by":"auto","created_at":"2021-09-17 03:56:37","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1482677,"visible":true,"origin":"","legend":"","description":"","filename":"geometrydefinition.pdf","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1_covered.pdf"},{"id":4931691,"identity":"2e8af576-4b06-4c9d-b154-9396ce164884","added_by":"auto","created_at":"2021-01-13 17:50:11","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":952090,"visible":true,"origin":"","legend":"","description":"","filename":"geometrydefinition.pdf","url":"https://assets-eu.researchsquare.com/files/rs-143568/v1_stamped.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eA New Geometry Definition and Generation Method For a Face Gear\u0026nbsp;Meshed With a Spur Pinion\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"\u003cp\u003eThis preprint is available for \u003ca href='/article/rs-143568/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e.\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":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Face gear, Geometry definition, Manufacturing, Surface deviation, Meshing performance","lastPublishedDoi":"10.21203/rs.3.rs-143568/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-143568/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe conventional tooth surface of a face gear is difficult to manufacture, and the cutter is not uniform even though the parameters of its mating pinion slightly change. Based on the analysis of the features of the tooth surface, a new developable ruled surface approach is proposed that defines the tooth flank of the face gear, for which the most important feature is that it could be generated by a straight-edged cutter. This study presents mathematical models of the cutter and the new tooth surface and the corresponding deviation, correction and generation method for this surface, which are investigated through numerical examples. The manufacturing process is simulated by VERICUT software, and the results demonstrate that even when the principle deviation is added to the machined deviation, the absolute deviation is on the microscale. The meshing and contact simulation shows that the new surface could obtain good meshing performance when the number of face gear teeth is greater than three times the number of pinion teeth. This research provides a new method for manufacturing face gears.\u0026nbsp;\u003c/p\u003e","manuscriptTitle":"A New Geometry Definition and Generation Method For a Face Gear\u0026nbsp;Meshed With a Spur Pinion","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2021-01-13 17:41:06","doi":"10.21203/rs.3.rs-143568/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"96b13eb4-1004-4fb5-bb39-2ba09a0860fb","owner":[],"postedDate":"January 13th, 2021","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":1865849,"name":"Mechanical Engineering"}],"tags":[],"updatedAt":"2021-12-06T10:27:13+00:00","versionOfRecord":{"articleIdentity":"rs-143568","link":"https://doi.org/10.1177/09544054211060927","journal":{"identity":"proceedings-of-the-institution-of-mechanical-engineers-part-b-journal-of-engineering-manufacture","isVorOnly":true,"title":"Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture"},"publishedOn":"2021-12-06 10:27:13","publishedOnDateReadable":"December 6th, 2021"},"versionCreatedAt":"2021-01-13 17:41:06","video":"","vorDoi":"10.1177/09544054211060927","vorDoiUrl":"https://doi.org/10.1177/09544054211060927","workflowStages":[]},"version":"v1","identity":"rs-143568","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-143568","identity":"rs-143568","version":["v1"]},"buildId":"J0_U0BvcaRcwD8yVFaRlm","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.