Real-time estimate and control contour errors for five-axis local smoothed toolpaths based on airthoid splines

Real-time estimate and control contour errors for five-axis local smoothed toolpaths based on airthoid splines | 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 Real-time estimate and control contour errors for five-axis local smoothed toolpaths based on airthoid splines Xiaoyong Huang, Baoqing Chen, Xiaoqing Tian, Shan Chen, Daoyang Yu, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2168420/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 29 May, 2023 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted 4 You are reading this latest preprint version Abstract Five-axis linear commands are blended as the local smoothed toolpaths by inserting clothoid and airthoid splines at corners in five-axis CNC machining. The contour error is the bottleneck to achieve the precise dimension of the machined parts, when following the smoothed toolpaths. This paper presents a contour error estimation and control method for the five-axis smoothed toolpaths with airthoid splines, according to the geometric characteristics of the toolpaths. The tool-tip contour error is analytically calculated based on the expression of the smoothed toolpaths. Consequently, the tool-orientation contour error is obtained by synchronizing the tool-orientation contour point with the tool-tip item based on the motion time through the designed time scale coefficient, when the toolpaths are scheduled by the time-synchronization scheme. Furthermore, a contour error compensation strategy is constructed to adaptively determine the compensator gain. It can be qualified to maximally eliminate the contour errors and steadily hold the control stability of the feed drives, in spite of the modeling error between the nominal and actual control models. The simulation and experiment results show that the estimation algorithm has the higher accuracy than traditional methods, and the compensation strategy effectively eliminates the five-axis contour error. Five-axis contour error local smoothed toolpath airthoid spline contour error estimation contour error compensation Full Text Cite Share Download PDF Status: Published Journal Publication published 29 May, 2023 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted Reviewers agreed at journal 21 Oct, 2022 Reviewers invited by journal 21 Oct, 2022 Editor assigned by journal 20 Oct, 2022 First submitted to journal 20 Oct, 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. 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. 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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-2168420","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":145943632,"identity":"c67b4ef6-dd6c-4352-8f99-0821d5ceda8f","order_by":0,"name":"Xiaoyong Huang","email":"","orcid":"","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Xiaoyong","middleName":"","lastName":"Huang","suffix":""},{"id":145943633,"identity":"0be08961-fb5f-4bd9-a874-6fbc77b38dbf","order_by":1,"name":"Baoqing 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The contour error is the bottleneck to achieve the precise dimension of the machined parts, when following the smoothed toolpaths. This paper presents a contour error estimation and control method for the five-axis smoothed toolpaths with airthoid splines, according to the geometric characteristics of the toolpaths. The tool-tip contour error is analytically calculated based on the expression of the smoothed toolpaths. Consequently, the tool-orientation contour error is obtained by synchronizing the tool-orientation contour point with the tool-tip item based on the motion time through the designed time scale coefficient, when the toolpaths are scheduled by the time-synchronization scheme. Furthermore, a contour error compensation strategy is constructed to adaptively determine the compensator gain. It can be qualified to maximally eliminate the contour errors and steadily hold the control stability of the feed drives, in spite of the modeling error between the nominal and actual control models. The simulation and experiment results show that the estimation algorithm has the higher accuracy than traditional methods, and the compensation strategy effectively eliminates the five-axis contour error. \u003c/p\u003e","manuscriptTitle":"Real-time estimate and control contour errors for five-axis local smoothed toolpaths based on airthoid splines","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-10-26 05:47:45","doi":"10.21203/rs.3.rs-2168420/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"","date":"2022-10-21T06:56:06+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-10-21T05:52:56+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2022-10-21T03:46:33+00:00","index":"","fulltext":""},{"type":"submitted","content":"The International Journal of Advanced Manufacturing Technology","date":"2022-10-20T06:51:10+00:00","index":"","fulltext":""}],"status":"published","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}}],"origin":"","ownerIdentity":"5f834385-50d0-4449-a128-86ea73699aae","owner":[],"postedDate":"October 26th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2023-10-16T21:35:24+00:00","versionOfRecord":{"articleIdentity":"rs-2168420","link":"https://doi.org/10.1007/s00170-023-11363-8","journal":{"identity":"the-international-journal-of-advanced-manufacturing-technology","isVorOnly":false,"title":"The International Journal of Advanced Manufacturing Technology"},"publishedOn":"2023-05-29 21:02:49","publishedOnDateReadable":"May 29th, 2023"},"versionCreatedAt":"2022-10-26 05:47:45","video":"","vorDoi":"10.1007/s00170-023-11363-8","vorDoiUrl":"https://doi.org/10.1007/s00170-023-11363-8","workflowStages":[]},"version":"v1","identity":"rs-2168420","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2168420","identity":"rs-2168420","version":["v1"]},"buildId":"cBFmMYwuxLRRLfASyISRj","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}