Dynamic Behaviours of Two-degree-of-freedom (2DOF) Magnetic Spring-based Nonlinear Oscillator System

Dynamic Behaviours of Two-degree-of-freedom (2DOF) Magnetic Spring-based Nonlinear Oscillator System | 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 Dynamic Behaviours of Two-degree-of-freedom (2DOF) Magnetic Spring-based Nonlinear Oscillator System Raju Ahamed, Ian Howard, Kristoffer McKee This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4568932/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 This paper aims to study the dynamic behaviours with various design criteria of the Two-degree-of-freedom (2DOF) magnetic spring-based nonlinear oscillator system. The proposed oscillator system contains a nonmagnetic shaft, two floating magnets, and two fixed magnets. All magnets are placed in such a way that they can repel each other. At first, the proposed system's magnetic properties of the proposed system are studied to provide insight into its role in the nonlinear oscillatory behaviour of the system. The magnetic restoring forces are studied, and the linear and nonlinear coefficients of the oscillator system are analysed from the magnetic restoring force. The mathematical model of the proposed system is presented to study the dynamic behaviours such as damping ratio, eigenvalues, and natural frequencies of the oscillator system. The magnetic restoring forces and dynamic behaviours for different oscillator heights are also studied. Finally, the proposed system's energy generation capacity is examined using electromechanical coupling. Magnetic spring oscillator system linear and non-linear stiffness dynamics analysis parametric study 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-4568932","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":317806579,"identity":"428d17c8-6711-439f-b257-e8a3b484549a","order_by":0,"name":"Raju Ahamed","email":"","orcid":"","institution":"Curtin University","correspondingAuthor":false,"prefix":"","firstName":"Raju","middleName":"","lastName":"Ahamed","suffix":""},{"id":317806580,"identity":"3f1824da-e268-45e1-ab25-fc9cdc07b866","order_by":1,"name":"Ian Howard","email":"","orcid":"","institution":"Curtin University","correspondingAuthor":false,"prefix":"","firstName":"Ian","middleName":"","lastName":"Howard","suffix":""},{"id":317806581,"identity":"7af2f911-ffdf-4285-9e09-1dcedc507ea2","order_by":2,"name":"Kristoffer McKee","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3klEQVRIiWNgGAWjYBACCSBmbGBgkAPzEkDEASK1GINpkrQkNkBoIrRINnAnfpxRYZPePyP3+YOHOxjk+G4kMH7mwaNFmoF3s+SGM2m5M26kGzYknmEwlryRwCyNT4scA+82xodth3M3SKQxNiS2MSRuuJHAQISWf//TDaBa6oFamH8TcNg2xo0NBxJgWhIMbiSw4bVFshnolxnHkg1nnHnGOCOxTcJw5pmHbZZz8GiRON678WNPjZ08f3saw8efbTbyfMeTD994g0cLAzOaEQzw+BkFo2AUjIJRQD4AANfNS7/g1khHAAAAAElFTkSuQmCC","orcid":"","institution":"Curtin University","correspondingAuthor":true,"prefix":"","firstName":"Kristoffer","middleName":"","lastName":"McKee","suffix":""}],"badges":[],"createdAt":"2024-06-12 09:06:03","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4568932/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4568932/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":63812455,"identity":"1f7060d7-28e3-4f23-9d1c-b1db5cecf7bb","added_by":"auto","created_at":"2024-09-02 14:13:14","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2335502,"visible":true,"origin":"","legend":"","description":"","filename":"DynamicBehavioursofTwo.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4568932/v1_covered_9d508a9c-dd4c-4f8a-930d-5d5b7653a5f3.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamic Behaviours of Two-degree-of-freedom (2DOF) Magnetic Spring-based Nonlinear Oscillator System","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":"Magnetic spring oscillator system, linear and non-linear stiffness, dynamics analysis, parametric study","lastPublishedDoi":"10.21203/rs.3.rs-4568932/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4568932/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper aims to study the dynamic behaviours with various design criteria of the Two-degree-of-freedom (2DOF) magnetic spring-based nonlinear oscillator system. 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