Dynamic modeling method for compliant joints in rigid-flexible coupling two-dimensional positioning stage

Dynamic modeling method for compliant joints in rigid-flexible coupling two-dimensional positioning stage | 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 Dynamic modeling method for compliant joints in rigid-flexible coupling two-dimensional positioning stage Chi Zhang, Zhijun Yang, guanxin Huang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4808358/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Compliant joints have been widely used in precision positioning stage due to the property of nearly zero friction. A novel modeling method for compliant joints is proposed, which considers their deformation in the six spatial direction by treating flexure hinges as space frame elements. A rigid-flexible coupling two-dimensional positioning stage(RFC2DPS) containing multiple compliant joints is proposed, which can eliminates the positioning errors caused by pre-motion friction thereby achieving long-stroke ultra-precision positioning. The dynamic model of the RFC2DPS is established by combining the floating frame approach with the proposed compliant joint modeling method. Two comparative experiments of point-to-point and trajectory tracking motions are conducted using MATLAB and ADAMS. Compared to the simulated values, the maximum positioning error in the X and Y directions are 0.32% and 0.44%, respectively, using MATLAB, verifying the accuracy of the dynamic model. Finally, the established dynamic model of the RFC2DPS is analyzed for spatial displacement coupling. The results conform to the spring system assumptions of the model, verifying the effectiveness of the dynamic model. Positioning stage Flexure hinge Floating frame approach Pre-motion friction Lagrangian equation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted 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-4808358","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":345366756,"identity":"8ce58d11-fcf2-4293-af8d-c5b71842ac02","order_by":0,"name":"Chi Zhang","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Chi","middleName":"","lastName":"Zhang","suffix":""},{"id":345366757,"identity":"4344c408-6bfc-475f-8511-e98c43fdc011","order_by":1,"name":"Zhijun Yang","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Zhijun","middleName":"","lastName":"Yang","suffix":""},{"id":345366758,"identity":"a1366047-2f75-45d1-8069-a540cc5fda8d","order_by":2,"name":"guanxin Huang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVRIiWNgGAWjYNACA4YEMP2BgRlMSxCthXEGUAsPcVoYIFqYeYjRIh+R/OwxT8GdPIPjZw+/tvllnbifgfngbR4GuzxcWgxvpJkbzjB4VmxwJi/NOrcvPbGHgS3ZmochuRinlhkJZhIfDA4nbjiQY2ac23MYqIXHTJqH4UBiA04t6d8kEkBazr8xM7YEa+H/hleLvEQO1JYbOcaPGX6AbWHDq8WA502Z5Ayglpk33pgx9jakG/ccZjO2nGOQjNuW9vRt0jx/Dif2nc8x/vDjj7Vse3vzwxtvKuxw23IAwWaTYGwDUuAEYIBDPcgWJLOYPzD8wa1yFIyCUTAKRi4AAJRLWq17M6aNAAAAAElFTkSuQmCC","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":true,"prefix":"","firstName":"guanxin","middleName":"","lastName":"Huang","suffix":""}],"badges":[],"createdAt":"2024-07-26 13:21:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4808358/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4808358/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":68910822,"identity":"6442e918-4fd8-44d2-a738-4a9594881c9f","added_by":"auto","created_at":"2024-11-13 11:48:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":24361655,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4808358/v1_covered_db755d88-b4ff-4aec-b38d-9eddf73d0fb2.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamic modeling method for compliant joints in rigid-flexible coupling two-dimensional positioning stage","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"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":"Positioning stage, Flexure hinge, Floating frame approach, Pre-motion friction, Lagrangian equation","lastPublishedDoi":"10.21203/rs.3.rs-4808358/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4808358/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Compliant joints have been widely used in precision positioning stage due to the property of nearly zero friction. 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