Instability Attenuation And Bifurcation Studies of A Non-Ideal Rotor Involving Time Delayed Feedback

Instability Attenuation And Bifurcation Studies of A Non-Ideal Rotor Involving Time Delayed Feedback | 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 Instability Attenuation And Bifurcation Studies of A Non-Ideal Rotor Involving Time Delayed Feedback Sovan Sundar Dasgupta This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-969838/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 24 Mar, 2022 Read the published version in Nonlinear Dynamics → Version 1 posted 5 You are reading this latest preprint version Abstract In non-ideal vibratory system, the excitation is a nonlinear function of system response. The dynamic behavior of such system is often characterized by an energy source with limited power. The study of instability phenomena in non-ideal rotor driven through a non-ideal energy source is of considerable current interest. The non-ideal rotor system often gets destabilized on exceeding a critical input power near the resonance. This kind of instability is termed as Sommerfeld effect marked with nonlinear jump phenomena. This paper investigates the attenuation of nonlinear jump phenomena and numerical study of bifurcations of a non-ideal unbalanced rotor system with internal damping using time delayed feedback via active magnetic bearings. The results show that the time delay indeed plays a critical role on the suppression of the jump phenomena. Following, some new insights are also revealed through a numerical study of saddle node, Hopf and trans-critical bifurcations with time delay as a bifurcation parameter. The transient analysis confirms the results obtained analytically through the steady-state consideration. Mechanical Engineering Internal damping Sommerfeld effect Time delayed feedback Bifurcations Non-ideal system Jump phenomena AMB Full Text Cite Share Download PDF Status: Published Journal Publication published 24 Mar, 2022 Read the published version in Nonlinear Dynamics → Version 1 posted Reviews received at journal 14 Nov, 2021 Reviewers invited by journal 14 Nov, 2021 Editor assigned by journal 13 Oct, 2021 First submitted to journal 11 Oct, 2021 Editorial decision: Major revisions 10 Oct, 2021 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. 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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-969838","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":63347525,"identity":"3ebbddaf-d147-4464-80b4-6dceb81c151c","order_by":0,"name":"Sovan Sundar Dasgupta","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAq0lEQVRIiWNgGAWjYNCCCgYeCMOAaC1nGHh4SNPC2MYAs4YIIN/eY/i5cN5hGXsG5ocfGAruENZicOaMsfTMbYeBDmMzlmAweEaEFom0BGnebWkgv5gBuYeJcNiMtOTfvHNAWti/EaeF4UbyMWneBhugFh4ibTE4c/iYNc8xoJbDPMUSCUQ5rL2x+TZPjYQ9e3v7xg8f/hDjMDhgBuIEUjSMglEwCkbBKMANAIC6LLwD+7uTAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-1325-1792","institution":"VIT University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Sovan","middleName":"Sundar","lastName":"Dasgupta","suffix":""}],"badges":[],"createdAt":"2021-10-15 00:34:55","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-969838/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-969838/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-022-07367-w","type":"published","date":"2022-03-25T03:52:05+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":19595851,"identity":"0cc9a807-a350-42b9-9be4-805946b01244","added_by":"auto","created_at":"2022-03-25 03:52:30","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":8745086,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscriptrevised.pdf","url":"https://assets-eu.researchsquare.com/files/rs-969838/v1_covered.pdf"},{"id":15607946,"identity":"3f2c8ac6-3afe-4830-9b4d-4ccf7e9c7f22","added_by":"auto","created_at":"2021-11-16 21:32:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":8740214,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscriptrevised.pdf","url":"https://assets-eu.researchsquare.com/files/rs-969838/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eInstability Attenuation And Bifurcation Studies of A Non-Ideal Rotor Involving Time Delayed Feedback\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-969838/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Internal damping, Sommerfeld effect, Time delayed feedback, Bifurcations, Non-ideal system, Jump phenomena, AMB","lastPublishedDoi":"10.21203/rs.3.rs-969838/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-969838/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn non-ideal vibratory system, the excitation is a nonlinear function of system response. 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