Stiffness characteristics of angular contact ball bearing considering thermal - mechanical coupling

Stiffness characteristics of angular contact ball bearing considering thermal - mechanical coupling | 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 Stiffness characteristics of angular contact ball bearing considering thermal - mechanical coupling chen gao, tao xu, yu li chen, tao chen, shou jing zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4008499/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 When the rotor is rotating at high speed, the ball bearing stiffness exhibits strong nonlinear characteristics. This paper primarily investigates the influence of different speeds, axial loads, and other factors on the angular contact ball bearing stiffness. To address the inconvenience of simultaneously simulating dynamic temperature fields and deformation results using ANSYS software, a novel coupling method is proposed to achieve simulation results that closely resemble actual working conditions. By utilizing a MATLAB script program based on Palmgren's friction heat generation theory, real-time extraction of frictional heat generation in high-speed angular contact ball bearings under combined shaft action, radial load, and speed is achieved. The obtained heat generation results are then applied as boundary conditions in the finite element model of bearings to establish a coupling field for further analysis. Subsequently, Ansys Workbench simulates the impact of this coupling model on relative displacement between inner and outer rings under identical load and speed conditions to ultimately obtain dynamic stiffness results for angular contact ball bearings. A novel approach to calculating stiffness was introduced in the subsequent bearing stiffness test bench, wherein the radial load and relative displacement of the measured angular contact ball bearing were determined by converting material mechanics formulas. This method effectively addresses the inconvenience of measuring bearing stiffness in rotor systems and aligns with simulation results.The findings indicate that bearing dynamic stiffness increases with axial load at constant speed, with axial stiffness being greater than radial stiffness. Additionally, higher rotational speeds under coaxial loads result in more pronounced increases in frictional heat but lead to decreased overall stiffness. The feasibility of simulation results from thermal-mechanical coupling models has been demonstrated. Bearing thermo-mechanical coupling Finite element Nonlinearity Friction generates heat Dynamic stiffness 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-4008499","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":290479469,"identity":"89fe7254-f5af-4ace-93aa-195b0a7b1b73","order_by":0,"name":"chen gao","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"chen","middleName":"","lastName":"gao","suffix":""},{"id":290479471,"identity":"e47626f6-5a12-495e-84da-e498c14b7724","order_by":1,"name":"tao xu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/ElEQVRIie3OMWrDMBTG8ScC8SLTVaGEXEHFUDKkd8kj4ElDoVA6ZHhGoCyGroaeIhRKt9oI3EUH8ODZU4d0q7fa7Raw8ZhB/0Ug+PE+AJ/vEhMAOSOAqxk7/Jz+/+Q0sjhoWmRTCfREuk+65lPI6iW9Kdr3DVKFFN2ZGinQbwL29SCRtZM2dDEmGdJOuQaJl48CymaYCCUtMxa1QLLqySIJdSsY2eFhmZJF2xEjMNFr2ZHV1ziBSsk87EjKCz2Dvyt8nMgqvrehiaMsSAxLXRMZHj+st+XYsN3rd2s2yw8bNNCaevkc2GN12o8MOyuHef9sJ4Oe+Hw+n++8XzH1XyTWWb1SAAAAAElFTkSuQmCC","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"tao","middleName":"","lastName":"xu","suffix":""},{"id":290479475,"identity":"d144b0a5-f45f-4d40-9e58-7bdc2631e548","order_by":2,"name":"yu li chen","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"yu","middleName":"li","lastName":"chen","suffix":""},{"id":290479478,"identity":"1490216c-9c4b-4a5c-bab3-b030788f4846","order_by":3,"name":"tao chen","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"tao","middleName":"","lastName":"chen","suffix":""},{"id":290479481,"identity":"78a560d4-ef53-4a9c-bd9a-eacbec516122","order_by":4,"name":"shou jing zhang","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"shou","middleName":"jing","lastName":"zhang","suffix":""}],"badges":[],"createdAt":"2024-03-03 12:02:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4008499/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4008499/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55264151,"identity":"39f48875-15ea-476e-90e2-2ba0ff115383","added_by":"auto","created_at":"2024-04-25 01:38:53","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1436502,"visible":true,"origin":"","legend":"","description":"","filename":"firstStiffnesscharacteristicsofangularcontactballbearingconsideringthermalmechanicalcoupling.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4008499/v1_covered_1c3b48c2-47ba-4342-a800-f3f1b3a4f156.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Stiffness characteristics of angular contact ball bearing considering thermal - mechanical coupling","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":"Bearing thermo-mechanical coupling, Finite element, Nonlinearity, Friction generates heat, Dynamic stiffness","lastPublishedDoi":"10.21203/rs.3.rs-4008499/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4008499/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"When the rotor is rotating at high speed, the ball bearing stiffness exhibits strong nonlinear characteristics. This paper primarily investigates the influence of different speeds, axial loads, and other factors on the angular contact ball bearing stiffness. To address the inconvenience of simultaneously simulating dynamic temperature fields and deformation results using ANSYS software, a novel coupling method is proposed to achieve simulation results that closely resemble actual working conditions. By utilizing a MATLAB script program based on Palmgren's friction heat generation theory, real-time extraction of frictional heat generation in high-speed angular contact ball bearings under combined shaft action, radial load, and speed is achieved. The obtained heat generation results are then applied as boundary conditions in the finite element model of bearings to establish a coupling field for further analysis. Subsequently, Ansys Workbench simulates the impact of this coupling model on relative displacement between inner and outer rings under identical load and speed conditions to ultimately obtain dynamic stiffness results for angular contact ball bearings. A novel approach to calculating stiffness was introduced in the subsequent bearing stiffness test bench, wherein the radial load and relative displacement of the measured angular contact ball bearing were determined by converting material mechanics formulas. This method effectively addresses the inconvenience of measuring bearing stiffness in rotor systems and aligns with simulation results.The findings indicate that bearing dynamic stiffness increases with axial load at constant speed, with axial stiffness being greater than radial stiffness. Additionally, higher rotational speeds under coaxial loads result in more pronounced increases in frictional heat but lead to decreased overall stiffness. 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