Experiments on the nonlinear vibrations of postbuckled circular panels under harmonic excitation

Experiments on the nonlinear vibrations of postbuckled circular panels under harmonic excitation | 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 Experiments on the nonlinear vibrations of postbuckled circular panels under harmonic excitation Charles Cervi, Ricardo Perez, Jeremy Massie, Lawrence Virgin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7095319/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 14 You are reading this latest preprint version Abstract The small deflection (static or dynamic) flexural response of a nominally flat panel is adequately described in terms of linear characteristics. However, for a (mildly) non-flat panel the situation is much more complex, whether the non-flatness is simply the natural consequence of imperfect geometry, or the result of an applied compressive loading (through heating, for example), i.e., a post-buckled state. A striking feature of many systems with non-trivial equilibrium configurations is bistability. Under quasi-static conditions it is possible to transition from one stable equilibrium configuration to another by applying some kind of external lateral force or disturbance. Furthermore, under dynamic excitation, for example placing the panel and it’s support on a shaker, for sufficiently large equivalent forcing conditions, the buckled system may not only jump between equilibria but tra-jectories can undergo persistent erratic behavior snapping around and between whatever equilibria are present. This paper considers such a system from an experimental perspective , and focuses attention on a geometry (a thin, circular, clamped plate) that is relatively simple. A key aspect of this work is the use of dynamic digital image correlation (DIC) to capture the complex dynamics of panels under various intensities of loading. Two panels with the same geometric properties but differing materials (one aluminum and one brass) are tested. Despite the simplicity of the system (in terms of geometry and harmonic forcing), and necessarily limited parameter variations in an experimental context, a wide variety of temporal and spatially complex behavior is encountered. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 14 Sep, 2025 Reviews received at journal 01 Sep, 2025 Reviews received at journal 01 Sep, 2025 Reviews received at journal 29 Aug, 2025 Reviews received at journal 28 Aug, 2025 Reviewers agreed at journal 21 Aug, 2025 Reviewers agreed at journal 20 Aug, 2025 Reviewers agreed at journal 20 Aug, 2025 Reviewers agreed at journal 20 Aug, 2025 Reviewers agreed at journal 20 Aug, 2025 Reviewers invited by journal 19 Aug, 2025 Editor assigned by journal 12 Jul, 2025 Submission checks completed at journal 11 Jul, 2025 First submitted to journal 10 Jul, 2025 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-7095319","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":504889781,"identity":"d96b8748-50e2-4baa-a0bb-8b81e0b61646","order_by":0,"name":"Charles Cervi","email":"","orcid":"","institution":"Duke University","correspondingAuthor":false,"prefix":"","firstName":"Charles","middleName":"","lastName":"Cervi","suffix":""},{"id":504889782,"identity":"6f553722-e246-4364-8bd4-395753f70ef4","order_by":1,"name":"Ricardo Perez","email":"","orcid":"","institution":"Structural Science Center AFRL/RQHS, Wright-Patterson Air Force Base","correspondingAuthor":false,"prefix":"","firstName":"Ricardo","middleName":"","lastName":"Perez","suffix":""},{"id":504889783,"identity":"01ac6958-9a7d-4ca8-a838-fc415c3beddc","order_by":2,"name":"Jeremy Massie","email":"","orcid":"","institution":"Structural Science Center AFRL/RQHS, Wright-Patterson Air Force Base","correspondingAuthor":false,"prefix":"","firstName":"Jeremy","middleName":"","lastName":"Massie","suffix":""},{"id":504889784,"identity":"f0cc1392-d665-4219-a67d-71411bb16307","order_by":3,"name":"Lawrence Virgin","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAxUlEQVRIiWNgGAWjYBACPiA+wMAgwcDPkMAMEmBsIKSFDaZFsoEULWBgcIB4LTyGhyt+WeQZH88xNvjAYCO74QBhLQYHz/ZJFJudeWOcOIMhzZgILWwJBxt7JBK33cgxPszDcDiReC2bZwC1/GH4T4wW5gMHG35IJG6QyDFOBoYeEVqYgVoaGyQSZ5x5VmzYY5BsPJOQFn72xuaPDX/qEvvbkzdL/Kiwk+0jpIUBFBmMbTCeASHlcPCHaJWjYBSMglEwEgEAPwJDGWXds80AAAAASUVORK5CYII=","orcid":"","institution":"Duke University","correspondingAuthor":true,"prefix":"","firstName":"Lawrence","middleName":"","lastName":"Virgin","suffix":""}],"badges":[],"createdAt":"2025-07-10 17:38:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7095319/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7095319/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":90042046,"identity":"09c82d93-b1a5-423c-80ef-ade06791039e","added_by":"auto","created_at":"2025-08-27 17:11:35","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3679611,"visible":true,"origin":"","legend":"","description":"","filename":"circular.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7095319/v1_covered_ec2df388-7541-4ba3-997f-dbfa096adc57.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Experiments on the nonlinear vibrations of postbuckled circular panels under harmonic excitation","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":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-7095319/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7095319/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The small deflection (static or dynamic) flexural response of a nominally flat panel is adequately described in terms of linear characteristics. 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