Simulation for Gap Estimation of Freeform Surfaces Assembly Based on Complex Measurement Data

Simulation for Gap Estimation of Freeform Surfaces Assembly Based on Complex Measurement Data | 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 Simulation for Gap Estimation of Freeform Surfaces Assembly Based on Complex Measurement Data Małgorzata Poniatowska, Andrzej WERNER, Adam Wojtowicz This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4103418/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 This paper presents a simulation method for evaluating the accuracy of assembly of two mating freeform surfaces based on the spatial CAD model of the gap between the surfaces. CAD models of actual surfaces are the basis for determining the gap model. Digital measurement data representing form profiles are determined in measurements on a coordinate measuring machine according to a regular grid of points, and data representing waviness and surface roughness on a profilometer. The SGP components separated in the measurement process are summed up in the CAD modeling process. In the next step, a closure simulation is carried out by docking the inverted complex model of one surface to the surface model of the other surface. In this way, a spatial complex CAD model of the gap between the surfaces is obtained, mapping the effect of all the components of the irregularity on the tightness of the assembly. Based on the obtained model, it is possible to determine its maximum dimension (estimate the local width of the gap between actual surfaces) and the average of local dimensions, but also to illustrate the detailed distribution of local dimensions of this model in the form of a color map. The effectiveness of the proposed method was verified experimentally for the closing surfaces of the elements of the injection mold (cavity and core). freeform surfaces surface texture surface digitizing actual surface CAD model complex gap CAD model cavity/core closing surfaces Full Text Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Major Revisions Needed 12 Aug, 2024 Reviewers agreed at journal 22 Jun, 2024 Reviewers invited by journal 26 Mar, 2024 Editor assigned by journal 24 Mar, 2024 First submitted to journal 20 Mar, 2024 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. 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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-4103418","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":284266974,"identity":"04cd53e0-3592-4271-939d-f0bc92a9c7f8","order_by":0,"name":"Małgorzata Poniatowska","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8UlEQVRIiWNgGAWjYNACAzDJzMBQwZAA5VoQ1CIB0XIGrkWCoD0QLYxtRGjRbeA9+LigwK6OXyL9scHPeXfyGNibt0kw7sCtxewAX7LxDINkCckZOcaJvdueFTPwHCuTYDyDTwuPmTSPAbOEwe0c5gO82w4nNkjkmEkwthHUUg/Ukv744N85QC3yb4jSchioJcE4mbcBZAsPAS2HgX7hMTguOXP+G2NjmWPPitl40ootEvH55Xjvwcc8f6r5+XmOP5Z8U3Mnj5/98MYbH3fY4NTCwMyDwj3AwAaiEhtw62BgQNcCBox4tYyCUTAKRsEIAwCJm0zrJEtOWAAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-2102-7272","institution":"Bialystok University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Małgorzata","middleName":"","lastName":"Poniatowska","suffix":""},{"id":284266975,"identity":"fbce2512-3ca4-49e7-a4d8-33b7e2ca7adc","order_by":1,"name":"Andrzej WERNER","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Andrzej","middleName":"","lastName":"WERNER","suffix":""},{"id":284266976,"identity":"b37f636c-b274-4d6c-8023-e28ba8f67bce","order_by":2,"name":"Adam Wojtowicz","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Adam","middleName":"","lastName":"Wojtowicz","suffix":""}],"badges":[],"createdAt":"2024-03-14 21:21:56","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4103418/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4103418/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":53746029,"identity":"fbdedc4d-9489-4f63-9cc1-e60f05d1ccf8","added_by":"auto","created_at":"2024-03-29 17:50:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":745052,"visible":true,"origin":"","legend":"","description":"","filename":"AMTmanuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4103418/v1_covered_b1659b50-05b1-4ad8-a52f-68996aad8fe4.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eSimulation for Gap Estimation of Freeform Surfaces Assembly Based on Complex Measurement Data\u003c/p\u003e","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":"freeform surfaces, surface texture, surface digitizing, actual surface CAD model, complex gap CAD model, cavity/core closing surfaces","lastPublishedDoi":"10.21203/rs.3.rs-4103418/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4103418/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper presents a simulation method for evaluating the accuracy of assembly of two mating freeform surfaces based on the spatial CAD model of the gap between the surfaces. 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