Induction Suspension of Conductive Microring and Its Gyroscopic Stabilization

Induction Suspension of Conductive Microring and Its Gyroscopic Stabilization | 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 Induction Suspension of Conductive Microring and Its Gyroscopic Stabilization Dmitrii Skubov, Ivan Popov, Pavel Udalov This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-171012/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 The main task of our work is determination of possible levitation of micro-ring with eddy current in magnetic field of down ring with set alternating current and determination of critical value of «ohmic» damping separated field of parameters, at which motions of suspension ring transit from divergent to meeting to steady-state equilibrium position. I. e. in this critical case the motion practically coincides with motions of conservative system. The possibility of gyroscopic stabilization of suspension ring taking into account initial set rotation is considered. Thereby it can serve as contactless micro-gyroscope. Mechanical Engineering Applied Mathematics induction levitation critical damping gyroscopic stabilization Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Full Text Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the latest manuscript can be downloaded and accessed as a PDF. 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-171012","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":14995052,"identity":"d3e9a2cb-733a-4ad1-a32e-b3455849042a","order_by":0,"name":"Dmitrii Skubov","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIiWNgGAWjYDACHgY2EMXYwMN8AEgzk6SFLYFkLTwGxGmR7zlj9uBjG4Ps/J4z3yR+7rCWMzjA+0wCnxaDsz3mhjPbGIw3nO3dJtl7Jt1YsoHdDL8Wfh4zaZ4zDIkb+Hm3SfC2HU7sZ2Bjw6tFvh+qZX4/zzPJv22H69sIaWE42wPUUsGQ2HC2h00aaEsCPyEtBmeOlRvOqJAw3nDmmLG1bFu64cxmNmYLvA7rSd724IOBDTDEkh/efNtmLW9wvI3xBl6HQQDYJSwQ9xATmzDA/IEExaNgFIyCUTCCAADUJkFq00RgkwAAAABJRU5ErkJggg==","orcid":"","institution":"Peter the Great Saint Petersburg Polytechnic University: Sankt-Peterburgskij politehniceskij universitet Petra Velikogo","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Dmitrii","middleName":"","lastName":"Skubov","suffix":""},{"id":14995053,"identity":"f3b5f2c7-9de8-4def-aa26-7b0587d11793","order_by":1,"name":"Ivan Popov","email":"","orcid":"","institution":"Peter the Great Saint Petersburg Polytechnic University: Sankt-Peterburgskij politehniceskij universitet Petra Velikogo","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Ivan","middleName":"","lastName":"Popov","suffix":""},{"id":14995054,"identity":"c6053a31-7243-4220-b9ab-0e9da2f66bbd","order_by":2,"name":"Pavel Udalov","email":"","orcid":"","institution":"Peter the Great Saint Petersburg Polytechnic University: Sankt-Peterburgskij politehniceskij universitet Petra Velikogo","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Pavel","middleName":"","lastName":"Udalov","suffix":""}],"badges":[],"createdAt":"2021-01-28 08:52:01","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-171012/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-171012/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":6730330,"identity":"6cf1cab3-df12-42f5-863b-838e16a336fa","added_by":"auto","created_at":"2021-03-08 23:57:12","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":308700,"visible":true,"origin":"","legend":"Periodical solution of system (19) α=1.5,β=2,ε=0.1","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/65ec4904a92615659a89c437.png"},{"id":6730059,"identity":"d51bf532-dd95-4bee-80c7-715857661e53","added_by":"auto","created_at":"2021-03-08 23:54:12","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":243119,"visible":true,"origin":"","legend":"The motion of system (19) with introduced external dissipation 2εnζ is shown. α=1.5,r=0.1,β=2,ε=0.1,n=0.1","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/9d9d75a0280d9c0b3f511d16.png"},{"id":6730328,"identity":"7574c410-131c-4305-9cf7-3b04eba2811a","added_by":"auto","created_at":"2021-03-08 23:57:12","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":211781,"visible":true,"origin":"","legend":"the motion convergent to equilibrium position at r=1.2. α=1.5,r=1.2,b=2,ε=0.1,ν=0.1","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/0fc3655b04e03e66eb4fe525.png"},{"id":6730331,"identity":"d1e715ab-10a8-4848-b756-747025939906","added_by":"auto","created_at":"2021-03-08 23:57:12","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":262010,"visible":true,"origin":"","legend":"divergent motions at r=0.8 for averaged system. α=1.5,r=0.85,b=2,ε=0.1,ν=0.1","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/9e78f731c2f787799a2b8b5a.png"},{"id":6730062,"identity":"e09284ea-24e3-4f11-a678-627b9cca8f12","added_by":"auto","created_at":"2021-03-08 23:54:12","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":292641,"visible":true,"origin":"","legend":"Critical case practically non-fading oscillation in averaging system. α=1.5,r=0.885,b=2,ε=0.1,ν=0.1","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/040aa65c64fb67bcc2bd95dd.png"},{"id":6730055,"identity":"2900b0bb-11ba-4136-bc8c-43e79a65a947","added_by":"auto","created_at":"2021-03-08 23:54:12","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":14578,"visible":true,"origin":"","legend":"","description":"","filename":"fig6.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/cd4aac9f11ed28a7055109bf.png"},{"id":6730645,"identity":"cf509e76-06e9-4a0c-9872-5d3d3dbdee65","added_by":"auto","created_at":"2021-03-09 00:00:12","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":14578,"visible":true,"origin":"","legend":"","description":"","filename":"fig7.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/90ecf88f588de6d9e9581301.png"},{"id":6730333,"identity":"611115b7-59df-4e6c-8e8c-96f2df40c803","added_by":"auto","created_at":"2021-03-08 23:57:12","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":470584,"visible":true,"origin":"","legend":"Motion of ξ,ζ. Displacement and speed of vertical at parameters.\nα=1.5,r=0.2,b=0.2,n=0.2,ε=0.1,ν=10,λ=1\n","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/a067a90f0e6d5d72c38adc62.png"},{"id":6730332,"identity":"4c37d0f8-29f1-489d-8bf4-142b3d87569c","added_by":"auto","created_at":"2021-03-08 23:57:12","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":170455,"visible":true,"origin":"","legend":"continuous rotation relatively to the vertical. α=1.5,r=1.5,b=2,n=0.1,ε=0.1,ν=5,λ=1","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1/25c26936e107ce82a3add92b.png"},{"id":13600348,"identity":"4b0ef63b-fc21-4f9e-ab43-fdb697d8022b","added_by":"auto","created_at":"2021-09-17 05:43:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":715087,"visible":true,"origin":"","legend":"","description":"","filename":"Inductionsuspension1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1_covered.pdf"},{"id":6731044,"identity":"48104809-50f2-4212-929e-bcc406b85f1a","added_by":"auto","created_at":"2021-03-09 00:03:19","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":808496,"visible":true,"origin":"","legend":"","description":"","filename":"Inductionsuspension1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-171012/v1_stamped.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eInduction Suspension of Conductive Microring and Its Gyroscopic Stabilization\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the latest manuscript can be downloaded and \u003ca href='/article/rs-171012/latest.pdf' target='_blank'\u003e accessed as a PDF.\u003c/a\u003e"}],"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":false,"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":"induction levitation, critical damping, gyroscopic stabilization ","lastPublishedDoi":"10.21203/rs.3.rs-171012/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-171012/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe main task of our work is determination of possible levitation of micro-ring with eddy current in magnetic field of down ring with set alternating current and determination of critical value of \u0026laquo;ohmic\u0026raquo; damping separated field of parameters, at which motions of suspension ring transit from divergent to meeting to steady-state equilibrium position. I. e. in this critical case the motion practically coincides with motions of conservative system. The possibility of gyroscopic stabilization of suspension ring taking into account initial set rotation is considered. Thereby it can serve as contactless micro-gyroscope.\u003c/p\u003e","manuscriptTitle":"Induction Suspension of Conductive Microring and Its Gyroscopic Stabilization","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2021-03-08 23:54:10","doi":"10.21203/rs.3.rs-171012/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":"6164adaa-cb84-496c-af48-591075b008d0","owner":[],"postedDate":"March 8th, 2021","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":2844695,"name":"Mechanical Engineering"},{"id":2844696,"name":"Applied Mathematics"}],"tags":[],"updatedAt":"2021-04-06T16:36:29+00:00","versionOfRecord":[],"versionCreatedAt":"2021-03-08 23:54:10","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-171012","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-171012","identity":"rs-171012","version":["v1"]},"buildId":"ehx78VzkSd0WSzXnipQa-","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}