Nonlinear dynamic modeling and analysis of ball screws considering ball recirculation process

Nonlinear dynamic modeling and analysis of ball screws considering ball recirculation process | 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 Nonlinear dynamic modeling and analysis of ball screws considering ball recirculation process Chang Liu, Jinsong Zhao, Weidong Li, Chunyu Zhao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6986703/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Nov, 2025 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted 5 You are reading this latest preprint version Abstract The dynamic performance of the ball screws significantly affects the positioning accuracy of the machine tools, which is mainly related to the ball-groove contact characteristics, and previous studies have ignored the effect of the sudden changes in the number of loaded balls due to the ball recirculation process. To solve this problem, this paper proposes an eight DOF dynamic model of the ball screws that includes the ball recirculation process and screw shaft’s deformation, which captures the transient impacts during the transition section when the balls enter and exit. Firstly, the geometric relationship between the ball and groove centers is determined based on rigid body kinematics and coordinate transformation matrix, and the ball-groove contact loads in the working and transition sections are derived. Then, a nonlinear dynamic model of the ball screws is established by simplifying it to a mass-spring-damping structure, and the correctness of the proposed model is verified by comparing it with the experimental results. Finally, the dynamic characteristics of the ball screws under the effects of the ball recirculation process are investigated. Ball screws Dynamic model Ball recirculation process Screw shaft’s deformation Contact characteristics Full Text Cite Share Download PDF Status: Published Journal Publication published 28 Nov, 2025 Read the published version in The International Journal of Advanced Manufacturing Technology → Version 1 posted Editorial decision: Accept as is for Publication 01 Nov, 2025 Reviewers agreed at journal 30 Oct, 2025 Reviewers invited by journal 30 Oct, 2025 Editor assigned by journal 30 Oct, 2025 First submitted to journal 28 Oct, 2025 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-6986703","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":537530359,"identity":"572ca3cd-2758-4c63-95b6-460d5e4c7107","order_by":0,"name":"Chang Liu","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Chang","middleName":"","lastName":"Liu","suffix":""},{"id":537530360,"identity":"24e3ac20-cb4e-4b93-9a92-fd72f3a38b4b","order_by":1,"name":"Jinsong 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