Random vibration analysis of composite beams with six coupled degrees of freedom

Random vibration analysis of composite beams with six coupled degrees of freedom | 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 Random vibration analysis of composite beams with six coupled degrees of freedom Esmaeel Ghafari, Hamid Moeenfard, Jalil Rezaeepazhand This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7760855/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Important engineering structures such as wind turbine blades, wings and helicopter rotor blades are modeled as composite beams. Due to the random nature of the excitation in such structures, it is critical to focus on studying the random vibration analysis of composite beams. In this paper, random vibration analysis of composite beams with fully coupled degrees of freedom and damping influences, is presented. Six fully coupled equations of motion are derived and linearized based on an intrinsic formulation. In the presented formulation, non-classical features like shear transverse effects and all material couplings between six beam degrees of freedom are considered. In random vibration analysis, the spectral density and the mean square functions of deflections are derived under random point loadings. The considerable influence of material coupling effects on random response of the structure is observed. The presented analysis can be used to improve the random response of the composite beam-like structures, which have wide application in the industry and engineering. Random Vibration Composite Beam Transverse Shear Effect Material Coupling Damping Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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-7760855","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":525281832,"identity":"bf452108-86a5-4cd3-9c84-04cb54e6e5b4","order_by":0,"name":"Esmaeel Ghafari","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVRIiWNgGAWjYHACNgYGGzkGBmbmAxA+M1Fa0oyBKtkSSNXCwGNAnKv4GdivPfiRYCBv3s7zTeoGg508AzvvA7xaJBt4yg17EgwM5xzm3Sadw5Bs2MDMjt86gwM8aRK8P/4wzmAGa2FOAHoKv8PsgVok/yQY2M9g5nkG1FJPWIsBA/sxaZ4Eg0SgFjaglsOEtUgcBqqUSTBInsHMZmydY3DcsI2QFv729meSbxIMbGfwH354O6eiWp6f/xh+LQzMKNFhAI4mQoD9AWE1o2AUjIJRMLIBACsXMazBqBzxAAAAAElFTkSuQmCC","orcid":"","institution":"Ferdowsi University of Mashhad","correspondingAuthor":true,"prefix":"","firstName":"Esmaeel","middleName":"","lastName":"Ghafari","suffix":""},{"id":525281837,"identity":"d132db41-ed6e-4e11-99ff-b56fcf78a8b3","order_by":1,"name":"Hamid Moeenfard","email":"","orcid":"","institution":"Ferdowsi University of Mashhad","correspondingAuthor":false,"prefix":"","firstName":"Hamid","middleName":"","lastName":"Moeenfard","suffix":""},{"id":525281839,"identity":"acb2e6c4-d933-4572-af6a-c2fedb281822","order_by":2,"name":"Jalil Rezaeepazhand","email":"","orcid":"","institution":"Ferdowsi University of Mashhad","correspondingAuthor":false,"prefix":"","firstName":"Jalil","middleName":"","lastName":"Rezaeepazhand","suffix":""}],"badges":[],"createdAt":"2025-10-01 15:23:41","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7760855/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7760855/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":93807422,"identity":"292e9bc1-34cd-4508-b72b-703b62032f4b","added_by":"auto","created_at":"2025-10-17 18:34:38","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1845567,"visible":true,"origin":"","legend":"","description":"","filename":"CompositeBeamRandomVibActa.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7760855/v1/59df26842330b39df8e7ccff.pdf"},{"id":93807421,"identity":"78a9eea2-6cc3-439d-a3ef-ce9c40e12725","added_by":"auto","created_at":"2025-10-17 18:34:38","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4848,"visible":true,"origin":"","legend":"","description":"","filename":"fae345f3e1d348faa6913901774c7364.json","url":"https://assets-eu.researchsquare.com/files/rs-7760855/v1/26a28c4fe9a6dc1f3e7f440c.json"},{"id":95312257,"identity":"4581a7e2-3465-4322-9e77-375125a509fc","added_by":"auto","created_at":"2025-11-06 15:48:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1886177,"visible":true,"origin":"","legend":"","description":"","filename":"CompositeBeamRandomVibActa.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7760855/v1_covered_0df2422f-9192-4478-8bce-edf8c66e05b2.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Random vibration analysis of composite beams with six coupled degrees of freedom","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"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":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Random Vibration, Composite Beam, Transverse Shear Effect, Material Coupling, Damping","lastPublishedDoi":"10.21203/rs.3.rs-7760855/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7760855/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Important engineering structures such as wind turbine blades, wings and helicopter rotor blades are modeled as composite beams. 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