Dynamics of a nonlinear vibration reduction system with time delay feedback control

Dynamics of a nonlinear vibration reduction system with time delay feedback control | 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 Dynamics of a nonlinear vibration reduction system with time delay feedback control Xiaochen Mao, Weijie Ding This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1879899/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 reveals the dynamical properties of a nonlinear vibration reduction system with time delay feedback control and quasi-zero stiffness structure. The stable and unstable regions of the trivial solution of the system in the parameter plane of time delay and feedback gain are given. The amplitude-frequency responses and force transmissibility of the system under harmonic excitation are determined. The optimized parameters are obtained by using genetic algorithm. The complicated oscillations are explored, such as chaotic motions and multi-periodic orbits. Afterwards, the displacement and the energy of the primary structure and the force transmitted to the base are discussed under the shock excitation and random excitation respectively. The influences of time delay on the dynamical behaviors and reduction performance are shown. time delay vibration control quasi-zero stiffness system optimization Full Text 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-1879899","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":135633149,"identity":"679ed989-4450-47df-bf25-466e5e199981","order_by":0,"name":"Xiaochen Mao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvUlEQVRIiWNgGAWjYJACZiCWM5AAMdlI0GJMupbEDURr0W0/fPBzQcWd9O3SPQYMH8oOM/DPbsCvxexMWrL0jDPPcnfOOWPAOOPcYQaJOwcIaDmQY8bM23Y4d8ONHAMQg8FAIoGAlvNvgFr+HU43AGn5S5SWGyBbGg4ngLUwEqflWbI0z7HDhhtupBUc7DmXziNxg6DDkg9+5qk5LG9wI3njgx9l1nL8MwhoQQEHgJiHBPWjYBSMglEwCnABAJlMRCxLyRmvAAAAAElFTkSuQmCC","orcid":"","institution":"Hohai University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Xiaochen","middleName":"","lastName":"Mao","suffix":""},{"id":135633150,"identity":"c7e58afe-dc19-4514-b15e-bff055c70237","order_by":1,"name":"Weijie Ding","email":"","orcid":"","institution":"Hohai University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Weijie","middleName":"","lastName":"Ding","suffix":""}],"badges":[],"createdAt":"2022-07-21 03:05:47","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1879899/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1879899/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":26416274,"identity":"9601e5be-468a-43f2-8c87-f2054c43af54","added_by":"auto","created_at":"2022-09-13 20:21:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3179230,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1879899/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Dynamics of a nonlinear vibration reduction system with time delay feedback control","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1879899/latest.pdf' target='_blank'\u003edownload 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":"time delay, vibration control, quasi-zero stiffness system, optimization ","lastPublishedDoi":"10.21203/rs.3.rs-1879899/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1879899/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper reveals the dynamical properties of a nonlinear vibration reduction system with time delay feedback control and quasi-zero stiffness structure. 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