A new method for identifying elastic parameters of isotropic materials based on square specimens

A new method for identifying elastic parameters of isotropic materials based on square specimens | 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 Article A new method for identifying elastic parameters of isotropic materials based on square specimens Longxin Zhang, Wenbin Zhang, Han Xu, Yaxing Ma This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4614438/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 09 Sep, 2024 Read the published version in Scientific Reports → Version 1 posted 12 You are reading this latest preprint version Abstract In order to solve the problem of errors caused by unstandardized operation of the impulse excitation technique in system identification, this paper proposed a method of measurement using a specimen plate with a square cross-section. The method was based on modern control theory to decouple the free vibration of a square specimen. First, the functional relationship between the intrinsic frequency of the specimen and the geometrical dimensions and mechanical parameters was established by combining the finite element method. Then, the continuous functional relationship derived by the homotopy method allowed the frequency ratio to be related to the thickness-to-length ratio and Poisson's ratio. By measuring the frequency ratio and thickness to length ratio, Poisson's ratio could be calculated using this functional relationship. When the density and Poisson's ratio were known, the Young's modulus could be performed inversely in conjunction with the finite element analysis. Finally, a comparison test between this method and the traditional impulse excitation technique was designed and implemented, and the results showed that this method has advantages in both testing efficiency and accuracy. The study provides a new idea for system identification, which has important application value and promotion significance. Physical sciences/Materials science/Theory and computation/Computational methods Physical sciences/Materials science Physical sciences/Mathematics and computing Young's modulus Poisson's ratio Homotopy method Dynamic method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 09 Sep, 2024 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 16 Jul, 2024 Reviews received at journal 14 Jul, 2024 Reviews received at journal 14 Jul, 2024 Reviews received at journal 06 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers agreed at journal 04 Jul, 2024 Reviewers invited by journal 04 Jul, 2024 Editor assigned by journal 04 Jul, 2024 Editor invited by journal 27 Jun, 2024 Submission checks completed at journal 25 Jun, 2024 First submitted to journal 20 Jun, 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-4614438","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":327475201,"identity":"f937506c-14b6-4fc7-aeaa-f67345529eea","order_by":0,"name":"Longxin Zhang","email":"","orcid":"","institution":"Kunming University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Longxin","middleName":"","lastName":"Zhang","suffix":""},{"id":327475203,"identity":"3ae59452-e9bb-432e-9cc1-62d878c117a4","order_by":1,"name":"Wenbin Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAx0lEQVRIiWNgGAWjYBACNvbG5gcfKv7x2B9vIFILH8/hY4YzzhyQYzhzgEgtchJpCdK8bQeMGW4kEOswiRwDAx62O4mNMx9vvMFQYxNNWAvPG4MHEjzPEpul04otGI6l5TYQ1MIOtMVAgjmxTTrHTIKx4TARWhhyDCQSDJgTeyTPEKuFIy1B4kDCYWMJCR5itYACueFAmpwBD9AvCcT4Rb69sfnx3382PAbshzfe+FBjQ1gLMgB6ihTlEC2k6hgFo2AUjIKRAQDXFEAOGRMevwAAAABJRU5ErkJggg==","orcid":"","institution":"Kunming University","correspondingAuthor":true,"prefix":"","firstName":"Wenbin","middleName":"","lastName":"Zhang","suffix":""},{"id":327475205,"identity":"7c34b992-0f4a-4d51-9f27-6f9817c730b8","order_by":2,"name":"Han Xu","email":"","orcid":"","institution":"Kunming University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Han","middleName":"","lastName":"Xu","suffix":""},{"id":327475207,"identity":"353ac44d-7a54-41d1-af59-40f8f892121d","order_by":3,"name":"Yaxing Ma","email":"","orcid":"","institution":"Kunming University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Yaxing","middleName":"","lastName":"Ma","suffix":""}],"badges":[],"createdAt":"2024-06-21 02:37:57","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4614438/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4614438/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-024-71111-0","type":"published","date":"2024-09-09T15:58:04+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":64619198,"identity":"82ae2870-9197-41f2-b06b-309b514e8fd2","added_by":"auto","created_at":"2024-09-16 16:12:32","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":965403,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4614438/v1_covered_4e3000a2-70dc-4c48-9be2-cd05dfbe7c5b.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A new method for identifying elastic parameters of isotropic materials based on square specimens","fulltext":[],"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":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Young's modulus, Poisson's ratio, Homotopy method, Dynamic method","lastPublishedDoi":"10.21203/rs.3.rs-4614438/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4614438/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn order to solve the problem of errors caused by unstandardized operation of the impulse excitation technique in system identification, this paper proposed a method of measurement using a specimen plate with a square cross-section. 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