Dimensional Synthesis of a Four-Bar Mechanism by Hybridization of Two Meta-heuristic Algorithms DE-PSO

Dimensional Synthesis of a Four-Bar Mechanism by Hybridization of Two Meta-heuristic Algorithms DE-PSO | 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 Method Article Dimensional Synthesis of a Four-Bar Mechanism by Hybridization of Two Meta-heuristic Algorithms DE-PSO TATIEKAM GOUEZE Brian, BODIE NGUEMIENGO Abdel Axis, NGAYIHI ABBE Claude Valery, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7041131/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 A new approach for the dimensional synthesis of a four-bar linkage is proposed. This approach is obtained by combining the differential evolution (DE) meta-heuristic algorithm with the particle swarm optimization (PSO) which are briefly explained. The hybridization of these 2 is done by High level Relay Hybridization where the final solutions of DE are used as initial variables of PSO. This approach can be used to resolve problems involving multiple objectives like minimizing error metrics in position. The objective function used for the approach takes in account the Grashof criterion constraint and is used to compare the mutants and particle positions (which are base vectors). The efficiency and accuracy is tested using the parameters and case proposed by Saeed Ebrahimi and Pedram Payvandy in "Efficient Constrained Synthesis of Path Generating Four-Bar Mechanism Based on the Heuristic Optimization Algorithms" and the synthesis errors are compared. The results show that our hybrid algorithm generates an optimization error of 0.010604 which is less than that observed in Saeed Ebrahimi and Pedram Payvandy’s work which are 0.2986 for PSO and 0.0151 for DE under the same conditions. DE-PSO Hybridization Dimensional Synthesis Four-bar mechanism Objective function Optimization error 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-7041131","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Method Article","associatedPublications":[],"authors":[{"id":486885027,"identity":"c4402ff4-ccb1-4b29-b815-3f71d99ba78e","order_by":0,"name":"TATIEKAM GOUEZE Brian","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVRIiWNgGAWjYJCCA0DIYMDA2MDAUAHkMjM34FXOw8CMrOUMSAsjYS0MEC1AwNgGJvFrsWc/f/DAhzN20ebShxs/F86rjeZvB2r5UbENty08yQwHZ9xIzt3Zl9gsPXPb8dwZhxkbGHvO3MbjsGSGwzwfmHM3nGFskObddiy3AaiFmbENjxb+xwyH/3yoB2lp/s0751jufIJaJIC2MNw4DNLSJs3bUJO7gaCWG48NDvacOZ67s4exzZrn2IHcjUAtB/H5hb0/8fGHH8eqc7fzsD++zVNTlzvv/OGDD35U4NaCDg6DyQNEqweCOlIUj4JRMApGwQgBAMYnYjvB/rDQAAAAAElFTkSuQmCC","orcid":"","institution":"University of Douala","correspondingAuthor":true,"prefix":"","firstName":"TATIEKAM","middleName":"GOUEZE","lastName":"Brian","suffix":""},{"id":486885028,"identity":"295b33a8-0be6-4936-bdc6-00e106a6ffad","order_by":1,"name":"BODIE NGUEMIENGO Abdel Axis","email":"","orcid":"","institution":"University of Douala","correspondingAuthor":false,"prefix":"","firstName":"BODIE","middleName":"NGUEMIENGO Abdel","lastName":"Axis","suffix":""},{"id":486885029,"identity":"2f9b8451-4225-4b16-aa18-48d57048c8d4","order_by":2,"name":"NGAYIHI ABBE Claude Valery","email":"","orcid":"","institution":"University of Douala","correspondingAuthor":false,"prefix":"","firstName":"NGAYIHI","middleName":"ABBE Claude","lastName":"Valery","suffix":""},{"id":486885030,"identity":"d87c62dc-1a8a-4c7b-bae0-8dbf0fa8eca9","order_by":3,"name":"ESSOLA Dieudonné","email":"","orcid":"","institution":"University of Douala","correspondingAuthor":false,"prefix":"","firstName":"ESSOLA","middleName":"","lastName":"Dieudonné","suffix":""}],"badges":[],"createdAt":"2025-07-03 19:53:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7041131/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7041131/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":91334499,"identity":"681180aa-abdd-4b1d-a26b-23fc4018a2f8","added_by":"auto","created_at":"2025-09-15 11:39:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":589487,"visible":true,"origin":"","legend":"","description":"","filename":"Dimensionalsynthesisoffourbar.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7041131/v1_covered_1cc75b4a-32d8-4b43-ab02-8a7f75209b05.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dimensional Synthesis of a Four-Bar Mechanism by Hybridization of Two Meta-heuristic Algorithms DE-PSO","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":"DE-PSO Hybridization, Dimensional Synthesis, Four-bar mechanism, Objective function, Optimization error","lastPublishedDoi":"10.21203/rs.3.rs-7041131/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7041131/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA new approach for the dimensional synthesis of a four-bar linkage is proposed. This approach is obtained by combining the differential evolution (DE) meta-heuristic algorithm with the particle swarm optimization (PSO) which are briefly explained. The hybridization of these 2 is done by High level Relay Hybridization where the final solutions of DE are used as initial variables of PSO. This approach can be used to resolve problems involving multiple objectives like minimizing error metrics in position. The objective function used for the approach takes in account the Grashof criterion constraint and is used to compare the mutants and particle positions (which are base vectors). The efficiency and accuracy is tested using the parameters and case proposed by Saeed Ebrahimi and Pedram Payvandy in \"Efficient Constrained Synthesis of Path Generating Four-Bar Mechanism Based on the Heuristic Optimization Algorithms\" and the synthesis errors are compared. 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