Dynamic Support Stiffness of Motorized Spindle Bearings under High-speed Rotation

Dynamic Support Stiffness of Motorized Spindle Bearings under High-speed Rotation | 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 Support Stiffness of Motorized Spindle Bearings under High-speed Rotation Shengli Tian, Xingxin Zhao, Shaojiang Dong This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-258772/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract The rotor operating stiffness of high-speed motorized spindles (HSMSs) is key to machining accuracy. Because HSMSs are difficult to load due to their high speeds, a contact loading device was developed to test rotor operating stiffness. The dynamic support stiffness of the front/rear bearings (DSSB) is the main factor affecting the rotor operating stiffness. Two novel experimental schemes for measuring the DSSB are proposed: 1) indirect measurement—by analysing deformation displacements at two points on the external loading rod of the HSMS, and 2) direct measurement—by eddy current sensors installed near the front/rear bearings. Based on the experimental device and two experimental schemes, the influences of working-condition parameters on the DSSB were tested. The results show that the proposed experimental device and two experimental schemes can effectively and accurately measure rotor operating stiffness and DSSB at speeds of up to 30,000 rpm. However, because the tapered connection gap between the loading rod and rotor increases the measured deformation displacement, the DSSB measured by the indirect measurement scheme was relatively small. The DSSB decreases with speed and increases with radial force and working temperature. This study provides a new experimental basis for the quality inspection of finished HSMSs and the verification of theoretical bearing stiffness models. Mechanical Engineering High-speed motorized spindle bearings high-speed loading dynamic support stiffness Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Minor Revisions Needed 22 Apr, 2021 Reviews received at journal 30 Mar, 2021 Reviewers invited by journal 16 Mar, 2021 Editor assigned by journal 21 Feb, 2021 First submitted to journal 18 Feb, 2021 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-258772","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":17241229,"identity":"08c233b4-1216-43a0-8743-af5192201ca8","order_by":0,"name":"Shengli Tian","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVRIiWNgGAWjYBACNmbmww8+/pNgtp9/+ABxWvjY2dIMZ7BZsBtIsCUQp0WOn0dBmoOtgt9AgseAWIfxMBgz8EhIm0v3fLzxhsFOTreBoBbeA48LJCSMLeec3Ww5hyHZ2OwAQS18CcYzDCSSGQ7kbpPmYTiQuI2wFh4DaZ4EifqGAznPSNFyQILZ4EYOG7FagIE8s0GCWbLnGNA/BkT4Rb7/MDAqG+qY+dmbH954U2EnR1ALCiA6apC1kKpjFIyCUTAKRgQAAB06OZlg3NLTAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-4078-7058","institution":"Chongqing University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Shengli","middleName":"","lastName":"Tian","suffix":""},{"id":17241230,"identity":"69a00a2d-e2e7-4141-a975-f84b6d992509","order_by":1,"name":"Xingxin Zhao","email":"","orcid":"","institution":"Chongqing Changjiang Bearing Co., Ltd., Chongqing 401336, China","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Xingxin","middleName":"","lastName":"Zhao","suffix":""},{"id":17241231,"identity":"cfa477c0-d8b5-4ae0-b14e-a676ba834bf4","order_by":2,"name":"Shaojiang Dong","email":"","orcid":"","institution":"Chongqing Key Laboratory of Manufacturing Equipment Mechanism Design and Control, Chongqing Technology and Business University, Chongqing 400067, China","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Shaojiang","middleName":"","lastName":"Dong","suffix":""}],"badges":[],"createdAt":"2021-02-20 11:58:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-258772/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-258772/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":7226757,"identity":"b4a16385-7b94-4de0-bdb1-9901b2067de8","added_by":"auto","created_at":"2021-03-22 16:31:10","extension":"jpg","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":100635,"visible":true,"origin":"","legend":"Structure and equivalent model of the specially designed HSMS","description":"","filename":"Fig1.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/3c37e791ca267fab8f615e3b.jpg"},{"id":7226444,"identity":"615a6a99-557e-4d37-9344-c69066bceb55","added_by":"auto","created_at":"2021-03-22 16:28:10","extension":"jpg","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":49599,"visible":true,"origin":"","legend":"Test system for rotor operating stiffness and DSSB of HSMS ","description":"","filename":"Fig2.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/c716ec12ba2fab0db0000466.jpg"},{"id":7226443,"identity":"cbbb9bda-7e03-4cbd-8b71-bfce17e41945","added_by":"auto","created_at":"2021-03-22 16:28:10","extension":"jpg","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":35000,"visible":true,"origin":"","legend":"Schematic diagram of HSMS radial loading","description":"","filename":"Fig3.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/883f779db1ccc0e8448a8796.jpg"},{"id":7226448,"identity":"ff380974-63d1-45fc-87e4-ad407f94b17e","added_by":"auto","created_at":"2021-03-22 16:28:10","extension":"jpg","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":126775,"visible":true,"origin":"","legend":"Original experimental data of loading force and deformation displacement: FA and FB = loading forces of support points A and B in the equivalent model; δC, δE, δF, and δG = deformation displacements of points C, E, F, and G, respectively, in the equivalent model (n = 24,000 rpm).","description":"","filename":"Fig4.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/af6a525ce0d391d0ca0ca130.jpg"},{"id":7226446,"identity":"43266e42-715c-477d-9d03-19ed274d5c6e","added_by":"auto","created_at":"2021-03-22 16:28:10","extension":"jpg","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":162929,"visible":true,"origin":"","legend":"Radial force Fr vs deformation displacement δr of the front/rear bearings measured by EMM and IMM (n = 24,000 rpm).\n\n","description":"","filename":"Fig5.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/9b9334ba1db7def71204386c.jpg"},{"id":7226759,"identity":"eb067d3b-f47b-4ac1-af3d-9a6d572a0cb6","added_by":"auto","created_at":"2021-03-22 16:31:10","extension":"jpg","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":103724,"visible":true,"origin":"","legend":"Effect of radial force on the radial stiffnesses of the front (left) and rear (right) HSMS bearings\n\n","description":"","filename":"Fig6.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/0cb910c32e87bcb7be334872.jpg"},{"id":7226758,"identity":"69121430-2c78-4e13-9eef-2003facef101","added_by":"auto","created_at":"2021-03-22 16:31:10","extension":"jpg","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":88866,"visible":true,"origin":"","legend":"Effect of speed on the radial stiffnesses of the front (left) and rear (right) HSMS bearings\n\n","description":"","filename":"Fig7.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/571d476f0b52023af6b8a4f4.jpg"},{"id":7226450,"identity":"06f96fc8-5e8c-4c8a-8641-5141ec73225a","added_by":"auto","created_at":"2021-03-22 16:28:10","extension":"jpg","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":90883,"visible":true,"origin":"","legend":"Effect of working temperature on the radial stiffnesses of the front (left) and rear (right) HSMS bearings \n\n","description":"","filename":"Fig8.jpg","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1/5d952416a698d43f4fef9cef.jpg"},{"id":13611244,"identity":"1557aa7c-5356-4710-8ffb-3c77be5ab67d","added_by":"auto","created_at":"2021-09-17 06:27:46","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3285628,"visible":true,"origin":"","legend":"","description":"","filename":"FullLengthArticle.pdf","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1_covered.pdf"},{"id":7226830,"identity":"2027ef8a-3a86-4f4b-8d11-b22490cab3d2","added_by":"auto","created_at":"2021-03-22 16:34:16","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2769697,"visible":true,"origin":"","legend":"","description":"","filename":"FullLengthArticle.pdf","url":"https://assets-eu.researchsquare.com/files/rs-258772/v1_stamped.pdf"}],"financialInterests":"","formattedTitle":"Dynamic Support Stiffness of Motorized Spindle Bearings under High-speed Rotation","fulltext":[{"header":"Full Text","content":"\u003cp\u003eThis preprint is available for \u003ca href='/article/rs-258772/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":"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},"keywords":"High-speed motorized spindle, bearings, high-speed loading, dynamic support stiffness","lastPublishedDoi":"10.21203/rs.3.rs-258772/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-258772/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe rotor operating stiffness of high-speed motorized spindles (HSMSs) is key to machining accuracy. Because HSMSs are difficult to load due to their high speeds, a contact loading device was developed to test rotor operating stiffness. The dynamic support stiffness of the front/rear bearings (DSSB) is the main factor affecting the rotor operating stiffness. Two novel experimental schemes for measuring the DSSB are proposed: 1) indirect measurement—by analysing deformation displacements at two points on the external loading rod of the HSMS, and 2) direct measurement—by eddy current sensors installed near the front/rear bearings. Based on the experimental device and two experimental schemes, the influences of working-condition parameters on the DSSB were tested. The results show that the proposed experimental device and two experimental schemes can effectively and accurately measure rotor operating stiffness and DSSB at speeds of up to 30,000 rpm. However, because the tapered connection gap between the loading rod and rotor increases the measured deformation displacement, the DSSB measured by the indirect measurement scheme was relatively small. The DSSB decreases with speed and increases with radial force and working temperature. This study provides a new experimental basis for the quality inspection of finished HSMSs and the verification of theoretical bearing stiffness models.\u003c/p\u003e","manuscriptTitle":"Dynamic Support Stiffness of Motorized Spindle Bearings under High-speed Rotation","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2021-03-22 16:28:08","doi":"10.21203/rs.3.rs-258772/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Minor Revisions Needed","date":"2021-04-22T09:15:21+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2021-03-31T00:00:00+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2021-03-17T00:00:00+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2021-02-22T00:00:00+00:00","index":"","fulltext":""},{"type":"submitted","content":"The International Journal of Advanced Manufacturing Technology","date":"2021-02-19T04:31:10+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":"6e0453b9-5574-49dd-a51f-cc2d01487751","owner":[],"postedDate":"March 22nd, 2021","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[{"id":3137150,"name":"Mechanical Engineering"}],"tags":[],"updatedAt":"2021-05-13T03:25:54+00:00","versionOfRecord":[],"versionCreatedAt":"2021-03-22 16:28:08","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-258772","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-258772","identity":"rs-258772","version":["v1"]},"buildId":"7rjqhiLT3MXkJMwkYKINL","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}