Dynamic modeling of a standard internal tool holder

Dynamic modeling of a standard internal tool holder | 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 of a standard internal tool holder Wallyson Thomas Alves da Silva, Rouben Rostamian, Fabio Kuranaka, and 5 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9185995/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 5 You are reading this latest preprint version Abstract The interface between the boring bar and the clamp housing has a significant influence on the dynamic properties of the bar. The dynamic rigidity of an internal turning bar is usually low and decreases with the increase of the bar length to diameter (L/D) ratio, leading to the occurrence of vibrations, which can result in rough machined surfaces and reduced tool life. This paper presents a mathematical model of the boring bar as a three-span Euler–Bernoulli beam with free-pinned-pinned-free (F-P-P-F) constraints, and investigates its dynamic characteristics and frequency response. The bar’s characteristic equation is expressed succinctly in terms of Krylov–Duncan functions, and the first natural frequencies and mode shapes of the multi-span boring bar are obtained by numerical calculation. The results demonstrate that the constraints and the overhang have significant impact on the dynamic characteristics of the boring bar. The results of this analysis and numerical simulation are compared with direct measurements obtained through an actual internal turning of a hardened steel specimen. The analytical model developed here can be valuable in guiding costly experiments for determining dynamical properties of boring bars with varying overhangs. boring bar natural frequency dynamic stiffness overhang Full Text Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Major Revisions Needed 01 May, 2026 Reviewers agreed at journal 31 Mar, 2026 Reviewers invited by journal 25 Mar, 2026 Editor assigned by journal 24 Mar, 2026 First submitted to journal 21 Mar, 2026 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-9185995","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":612032163,"identity":"e70998a1-53c0-41e1-a1e7-353d5f67dd2b","order_by":0,"name":"Wallyson Thomas Alves da Silva","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0002-1466-9114","institution":"Miskolci Egyetem","correspondingAuthor":true,"prefix":"","firstName":"Wallyson","middleName":"Thomas Alves da","lastName":"Silva","suffix":""},{"id":612032164,"identity":"5e5b8d3c-b169-4f83-93eb-b69b835e08f0","order_by":1,"name":"Rouben Rostamian","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Rouben","middleName":"","lastName":"Rostamian","suffix":""},{"id":612032165,"identity":"d8f73795-e3e2-4ee1-b31c-f2d992473298","order_by":2,"name":"Fabio Kuranaka","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Fabio","middleName":"","lastName":"Kuranaka","suffix":""},{"id":612032166,"identity":"bb7abfcc-ef9a-4362-a85b-70d7e4d4c294","order_by":3,"name":"Marcus Vinicius Begossi","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Marcus","middleName":"Vinicius","lastName":"Begossi","suffix":""},{"id":612032167,"identity":"55120cc5-ebb1-48ca-9871-f3868f2b5f94","order_by":4,"name":"Alex Sandro Payão dos Santos","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Alex","middleName":"Sandro Payão dos","lastName":"Santos","suffix":""},{"id":612032168,"identity":"8a8ba91d-a741-459b-8d04-e46bb32886a7","order_by":5,"name":"Anselmo Eduardo Diniz","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Anselmo","middleName":"Eduardo","lastName":"Diniz","suffix":""},{"id":612032169,"identity":"bfc7984c-1c08-4bf5-8c33-5046ff02361a","order_by":6,"name":"Amauri Hassui","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Amauri","middleName":"","lastName":"Hassui","suffix":""},{"id":612032170,"identity":"63d27dcd-26b3-4096-bc35-8a6dbf29bf2b","order_by":7,"name":"Jozef Peterka","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Jozef","middleName":"","lastName":"Peterka","suffix":""}],"badges":[],"createdAt":"2026-03-21 13:19:30","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9185995/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9185995/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105728416,"identity":"d9f8fd2a-6582-472c-8e2d-ff58cb43c66d","added_by":"auto","created_at":"2026-03-30 11:11:46","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":969406,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9185995/v1_covered_19d37ad5-6524-4491-81cf-0e85d3881beb.pdf"}],"financialInterests":"","formattedTitle":"Dynamic modeling of a standard internal tool holder","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"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":"boring bar, natural frequency, dynamic stiffness, overhang","lastPublishedDoi":"10.21203/rs.3.rs-9185995/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9185995/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The interface between the boring bar and the clamp housing has a significant influence on the dynamic properties of the bar. The dynamic rigidity of an internal turning bar is usually low and decreases with the increase of the bar length to diameter (L/D) ratio, leading to the occurrence of vibrations, which can result in rough machined surfaces and reduced tool life. This paper presents a mathematical model of the boring bar as a three-span Euler–Bernoulli beam with free-pinned-pinned-free (F-P-P-F) constraints, and investigates its dynamic characteristics and frequency response. The bar’s characteristic equation is expressed succinctly in terms of Krylov–Duncan functions, and the first natural frequencies and mode shapes of the multi-span boring bar are obtained by numerical calculation. The results demonstrate that the constraints and the overhang have significant impact on the dynamic characteristics of the boring bar. The results of this analysis and numerical simulation are compared with direct measurements obtained through an actual internal turning of a hardened steel specimen. The analytical model developed here can be valuable in guiding costly experiments for determining dynamical properties of boring bars with varying overhangs.","manuscriptTitle":"Dynamic modeling of a standard internal tool holder","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-28 00:04:24","doi":"10.21203/rs.3.rs-9185995/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major Revisions Needed","date":"2026-05-01T08:56:12+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2026-03-31T08:06:55+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-03-25T13:01:35+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-03-24T04:22:53+00:00","index":"","fulltext":""},{"type":"submitted","content":"The International Journal of Advanced Manufacturing Technology","date":"2026-03-21T09:18:54+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":"d3085aaf-a4f3-4960-846c-5b523db50fc4","owner":[],"postedDate":"March 28th, 2026","published":true,"recentEditorialEvents":[{"type":"decision","content":"Major Revisions Needed","date":"2026-05-01T08:56:12+00:00","index":"","fulltext":""}],"rejectedJournal":[],"revision":"","amendment":"","status":"in-revision","subjectAreas":[],"tags":[],"updatedAt":"2026-05-01T12:56:47+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-28 00:04:24","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9185995","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9185995","identity":"rs-9185995","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}