Free vibration characteristics of functionally graded sandwich doubly curved shallow shells via an accurate finite element model

Free vibration characteristics of functionally graded sandwich doubly curved shallow shells via an accurate finite element model | 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 Free vibration characteristics of functionally graded sandwich doubly curved shallow shells via an accurate finite element model Soufiane Benounas, Mohamed-Ouejdi Belarbi, Pham Van Vinh, Aman Garg This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5393757/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 Problems associated with sandwichs laminates, such as delaminates and stress concentrations, paved the way for functionally graded materials (FGM). The present work aims to predict the free vibration behavior of cylindrical, spherical, hyperbolic, and elliptical functionally graded sandwich shallow shells. The study was carried out via an improved first-order shear deformation theory in the framework of eight-noded C 0 isoparametric finite element with five degrees of freedom per node. Four different layup arrangements of functionally graded material and isotropic materials are adopted during the present study. Comparisons with reference solutions for various FG sandwich shell configurations and boundary conditions verify that the proposed finite element model is accurate, presents a fast rate of convergence to the reference results, and is valid for both thin and thick FGM sandwich doubly curved shallow shells. Moreover, the influences of the power-law index, radius of curvature, material distribution, side-to-thickness ratio, face-to-core-thickness ratio, and boundary conditions on the natural frequencies of symmetric and nonsymmetric FGM sandwich shells are thoroughly discussed. The nature of the material adopted within the layers of the shell, i.e., isotropic or functionally graded material, widely governs the behavior of the shell along with the power-law coefficient. For shells with a functionally graded face layer along with a ceramic core or top metallic phase followed by an FGM and a ceramic phase for the bottom layer, the values for the nondimensional natural frequency decrease with increasing power-law coefficient. Several new results are also presented, which will serve as benchmarks for future studies. The results demonstrate that the developed C 0 finite element model exhibits excellent accuracy and computational efficiency in capturing the free vibration characteristics of FG sandwich doubly curved shallow shells, making it a suitable tool for practical design and analysis. Functionally graded materials Sandwich shallow shells FSDT Vibration analysis Finite element method 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. 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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-5393757","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":380759906,"identity":"758cfffd-628e-4abd-97a5-8a9a9972c4bb","order_by":0,"name":"Soufiane Benounas","email":"","orcid":"","institution":"Université de Biskra","correspondingAuthor":false,"prefix":"","firstName":"Soufiane","middleName":"","lastName":"Benounas","suffix":""},{"id":380759907,"identity":"bd6def38-e49e-45cd-bf88-41f3b33c8153","order_by":1,"name":"Mohamed-Ouejdi Belarbi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVRIie2QsWrDMBCGrwikRSWrg8kjFM4IYkxDnyUi0LUeAylERpAsobO3vkKnQLcYQbz4AQpdUgydO4UOoUTyLtNsGfQNx0n8HycdQCBwnVCAHAAJ2dnqGiDu+kb1Kl2STi9VgGN3tLVfuVsrevjBh6eU8WOc5wZSxloxf4bRq8cZNzuWlDjL3vXtNi7RQKa5kM0eROFTPqY05kgQjVU4Pi7fDCeVoiC152GdcsKlVfi3UwANayv1B3LVp9iYU9y4ie1ByGIFcuNTmmqdbLDGTFNx7xT3l6R4iUTpU2q9P/zOF5gOzNcnP0WQDup2qI4T78a8+498+UAgEAj8gzNekE4QAM29NAAAAABJRU5ErkJggg==","orcid":"","institution":"Université de Biskra","correspondingAuthor":true,"prefix":"","firstName":"Mohamed-Ouejdi","middleName":"","lastName":"Belarbi","suffix":""},{"id":380759908,"identity":"a198b031-dd8e-4b09-b5c8-251598779dde","order_by":2,"name":"Pham Van Vinh","email":"","orcid":"","institution":"Le Quy Don Technical University","correspondingAuthor":false,"prefix":"","firstName":"Pham","middleName":"Van","lastName":"Vinh","suffix":""},{"id":380759910,"identity":"546fa9fe-5723-4bd6-a6dc-44b3814ac4de","order_by":3,"name":"Aman Garg","email":"","orcid":"","institution":"Huazhong University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Aman","middleName":"","lastName":"Garg","suffix":""}],"badges":[],"createdAt":"2024-11-05 08:53:41","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5393757/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5393757/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":70167285,"identity":"1505ed2c-ba2b-49d0-9ee2-b19f1c2ed14e","added_by":"auto","created_at":"2024-11-29 06:03:29","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":11180616,"visible":true,"origin":"","legend":"","description":"","filename":"Mainpaperr.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5393757/v1_covered_8f04f329-354f-45c4-b620-a26e4cdffa9b.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Free vibration characteristics of functionally graded sandwich doubly curved shallow shells via an accurate finite element model","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":"Functionally graded materials, Sandwich shallow shells, FSDT, Vibration analysis, Finite element method","lastPublishedDoi":"10.21203/rs.3.rs-5393757/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5393757/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eProblems associated with sandwichs laminates, such as delaminates and stress concentrations, paved the way for functionally graded materials (FGM). The present work aims to predict the free vibration behavior of cylindrical, spherical, hyperbolic, and elliptical functionally graded sandwich shallow shells. The study was carried out via an improved first-order shear deformation theory in the framework of eight-noded C\u003csup\u003e0\u003c/sup\u003e isoparametric finite element with five degrees of freedom per node. Four different layup arrangements of functionally graded material and isotropic materials are adopted during the present study. Comparisons with reference solutions for various FG sandwich shell configurations and boundary conditions verify that the proposed finite element model is accurate, presents a fast rate of convergence to the reference results, and is valid for both thin and thick FGM sandwich doubly curved shallow shells. Moreover, the influences of the power-law index, radius of curvature, material distribution, side-to-thickness ratio, face-to-core-thickness ratio, and boundary conditions on the natural frequencies of symmetric and nonsymmetric FGM sandwich shells are thoroughly discussed. The nature of the material adopted within the layers of the shell, i.e., isotropic or functionally graded material, widely governs the behavior of the shell along with the power-law coefficient. For shells with a functionally graded face layer along with a ceramic core or top metallic phase followed by an FGM and a ceramic phase for the bottom layer, the values for the nondimensional natural frequency decrease with increasing power-law coefficient. Several new results are also presented, which will serve as benchmarks for future studies. The results demonstrate that the developed C\u003csup\u003e0\u003c/sup\u003e finite element model exhibits excellent accuracy and computational efficiency in capturing the free vibration characteristics of FG sandwich doubly curved shallow shells, making it a suitable tool for practical design and analysis.\u003c/p\u003e","manuscriptTitle":"Free vibration characteristics of functionally graded sandwich doubly curved shallow shells via an accurate finite element model","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-11-25 03:08:59","doi":"10.21203/rs.3.rs-5393757/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"03fce053-ecf6-4888-a382-c5acbcf49fd6","owner":[],"postedDate":"November 25th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-11-29T05:38:52+00:00","versionOfRecord":[],"versionCreatedAt":"2024-11-25 03:08:59","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5393757","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5393757","identity":"rs-5393757","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}