Modal damping ratio reliability-based topology optimization of composite cellular structures

Modal damping ratio reliability-based topology optimization of composite cellular structures | 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 Modal damping ratio reliability-based topology optimization of composite cellular structures Mahmoud Alfouneh, Suwin Sleesongsom This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6550703/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 Reducing vibrations in the structure can be performed by damping cellular materials. Maximizing the modal damping ratio (MDR) as a physical characteristic of these materials can serve as an effective strategy, which can be applied through deterministic topology optimization (TO). However, multi-source uncertainties usually preventing from an effective MDR design and therefore the optimized structure may not work in a reliable and safe conditions. Using the reliability-based topology method (RBTO) as a solution, this paper uses the dynamic mean value (DMV) as the reliability-based design optimization (RBDO) method utilizing descent conditions in conjunction with tangent algorithm as a novel methodology to capture ultimate optimized multi-material composite cellular structures. Initially in the Tangent-TO which is a TO optimized loop employing the tangent method and an allowed probabilistic constraint (CU), the optimized volume fraction and thereby the optimized layout are derived. Subsequently, the DMV approach utilizing the same admissible probabilistic constraint and proposed TO, concludes the most probable points (MPPs) in which prior that by employing mean volume fraction to perform a normal TO, the proper elemental results have been obtained to be imported into the DMV step. The Tangent-TO applying the MPPs yields the optimized volume fraction for RBTO solution. A comparative analysis of the TO with the RBTO models is explored for many fundamental modes and different damping models. Especially, analysis is extended to cover some damping characteristics such as Rayleigh damping coefficients and pre-stress effect. The obtained results suggest the importance and effectiveness of using the RBTO concept in optimal design of damped structures as part of the design analysis process. In both of the TO and RBTO solutions the maximization of damping because of maximizing modal damping ratio is seen. Modal damping ratio Topology optimization Reliability-based topology optimization Dynamic mean value approximation Tangent algorithm 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-6550703","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":454004592,"identity":"c1a6aae1-e094-473e-b568-846cba5e386b","order_by":0,"name":"Mahmoud Alfouneh","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvElEQVRIiWNgGAWjYDACdsYHIEoOxuchrIWZ2QBEGZOuJbGBaHfxNzMzPvi4wyZ9w/H2Bww/ahhkzAlpljjMzGw480xa7oYzBxIYe44x8MgcIGTNYf5j0rxth3M33Eg4wMDbwMAjQUiH/GFmNqCW/+kGNxIbGP8So8UAouVAgsGNZAZmomwxBPulLRnon2MMh2WOSRDWIne8GRhibXbyfMfbHz58U2NjT1ALCjgADEGSNIyCUTAKRsEowAEATZY24byoiIEAAAAASUVORK5CYII=","orcid":"","institution":"Zabol University","correspondingAuthor":true,"prefix":"","firstName":"Mahmoud","middleName":"","lastName":"Alfouneh","suffix":""},{"id":454004593,"identity":"f8aae816-5023-4da8-a7f0-5c6842b548bc","order_by":1,"name":"Suwin Sleesongsom","email":"","orcid":"","institution":"International Academy of Aviation Industry King Mongkut's Institute of Technology Ladkrabang","correspondingAuthor":false,"prefix":"","firstName":"Suwin","middleName":"","lastName":"Sleesongsom","suffix":""}],"badges":[],"createdAt":"2025-04-28 20:38:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6550703/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6550703/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":95586863,"identity":"889184ba-a689-48ce-950e-860f91f4b7ca","added_by":"auto","created_at":"2025-11-11 00:08:36","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":939930,"visible":true,"origin":"","legend":"","description":"","filename":"MDR03032025v1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6550703/v1_covered_14a09c14-e364-4e20-80ca-c1da51967b0d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Modal damping ratio reliability-based topology optimization of composite cellular structures","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":"Modal damping ratio, Topology optimization, Reliability-based topology optimization, Dynamic mean value approximation, Tangent algorithm","lastPublishedDoi":"10.21203/rs.3.rs-6550703/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6550703/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eReducing vibrations in the structure can be performed by damping cellular materials. 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