Nonlinear Energy Sink-Enhanced Hybrid Vibration Isolator with Quasi-Zero-Stiffness and Nonlinear Inerter for Broadband Suppression

Nonlinear Energy Sink-Enhanced Hybrid Vibration Isolator with Quasi-Zero-Stiffness and Nonlinear Inerter for Broadband Suppression | 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 Nonlinear Energy Sink-Enhanced Hybrid Vibration Isolator with Quasi-Zero-Stiffness and Nonlinear Inerter for Broadband Suppression Jiawen Chu, Qingchao Yang, Jinjun Lou, Kai Chai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6254806/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 01 Jul, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted 16 You are reading this latest preprint version Abstract The quasi-zero-stiffness (QZS) vibration isolator exhibits superior low-frequency vibration isolation performance. However, its nonlinear hardening stiffness induces a rightward shift of the resonance peak, thereby narrowing the effective isolation bandwidth. Conversely, integrating a nonlinear inertance mechanism (NIM) into a linear isolator enhances vibration isolation performance by shifting the force transmissibility curve toward the low-frequency regime. Nevertheless, this configuration may amplify peak dynamic response amplitudes under large excitations. This paper proposes a new design of a nonlinear energy sink (NES) attached to a NIM-QZS hybrid vibration isolator (HVI). The vibration control performance of HVI-NES system consists of a QZS system, a NIM system and a NES is investigated. Firstly, the governing dynamic equations are derived, and the amplitude-frequency response and force transmissibility curves of the HVI-NES system are analytically obtained using the harmonic balance method coupled with an arc-length continuation technique. The analytical results are validated through numerical simulations. Secondly, the effect of the NES on the force transmissibility and frequency response of the primary structure is examined. Parameters study is conducted to assess the effects of the cubic nonlinear stiffness coefficient, mass ratio, and damping ratio. Thirdly, the control performance of the HVI-NES system is analyzed in terms of varying excitation. In addition, the parameters optimization of the NES is conducted. Furthermore, parameter optimization of the NES is performed, leading to the design rule for the NES attached to the HVI system. Finally, a comparison of control performance with other four models is conducted, demonstrating its superior performance in broadband vibration suppression. The results demonstrate that the NES effectively reduces the peak response amplitude of the HVI system. Furthermore, the HVI-NES configuration exhibits superior vibration control efficacy compared to the QZS isolator. Nonlinear vibration isolator Quasi-zero stiffness Nonlinear inertance mechanism Nonlinear energy sink Vibration control Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 01 Jul, 2025 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 05 Apr, 2025 Reviews received at journal 01 Apr, 2025 Reviews received at journal 30 Mar, 2025 Reviewers agreed at journal 28 Mar, 2025 Reviewers agreed at journal 27 Mar, 2025 Reviewers agreed at journal 27 Mar, 2025 Reviewers agreed at journal 26 Mar, 2025 Reviews received at journal 26 Mar, 2025 Reviewers agreed at journal 26 Mar, 2025 Reviewers agreed at journal 25 Mar, 2025 Reviews received at journal 25 Mar, 2025 Reviewers agreed at journal 25 Mar, 2025 Reviewers invited by journal 25 Mar, 2025 Editor assigned by journal 23 Mar, 2025 Submission checks completed at journal 22 Mar, 2025 First submitted to journal 18 Mar, 2025 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. 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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-6254806","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":437155966,"identity":"540684c8-063b-48d5-99b0-53215628b675","order_by":0,"name":"Jiawen Chu","email":"","orcid":"","institution":"Naval University of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Jiawen","middleName":"","lastName":"Chu","suffix":""},{"id":437155967,"identity":"0748a46c-8d8b-462e-ae19-1736c6a4f3b1","order_by":1,"name":"Qingchao Yang","email":"data:image/png;base64,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","orcid":"","institution":"Naval University of Engineering","correspondingAuthor":true,"prefix":"","firstName":"Qingchao","middleName":"","lastName":"Yang","suffix":""},{"id":437155968,"identity":"422e4e5f-22c2-4ab3-a9da-6ac89d6eb08b","order_by":2,"name":"Jinjun Lou","email":"","orcid":"","institution":"Naval University of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Jinjun","middleName":"","lastName":"Lou","suffix":""},{"id":437155969,"identity":"694a6685-efa6-4576-9077-8cc36dd5a443","order_by":3,"name":"Kai Chai","email":"","orcid":"","institution":"Naval University of Engineering","correspondingAuthor":false,"prefix":"","firstName":"Kai","middleName":"","lastName":"Chai","suffix":""}],"badges":[],"createdAt":"2025-03-18 15:53:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6254806/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6254806/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-025-11449-w","type":"published","date":"2025-07-01T15:58:20+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":86179938,"identity":"03631270-8a1a-488d-af06-3a28d178f0d9","added_by":"auto","created_at":"2025-07-07 16:20:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1507274,"visible":true,"origin":"","legend":"","description":"","filename":"CVINESNDsubmited20250321.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6254806/v1_covered_7e63adc9-7f24-49af-90b5-23026ba8cdb4.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Nonlinear Energy Sink-Enhanced Hybrid Vibration Isolator with Quasi-Zero-Stiffness and Nonlinear Inerter for Broadband Suppression","fulltext":[],"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":false,"isPdf":true,"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":"Nonlinear vibration isolator, Quasi-zero stiffness, Nonlinear inertance mechanism, Nonlinear energy sink, Vibration control","lastPublishedDoi":"10.21203/rs.3.rs-6254806/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6254806/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe quasi-zero-stiffness (QZS) vibration isolator exhibits superior low-frequency vibration isolation performance. However, its nonlinear hardening stiffness induces a rightward shift of the resonance peak, thereby narrowing the effective isolation bandwidth. Conversely, integrating a nonlinear inertance mechanism (NIM) into a linear isolator enhances vibration isolation performance by shifting the force transmissibility curve toward the low-frequency regime. Nevertheless, this configuration may amplify peak dynamic response amplitudes under large excitations. This paper proposes a new design of a nonlinear energy sink (NES) attached to a NIM-QZS hybrid vibration isolator (HVI). The vibration control performance of HVI-NES system consists of a QZS system, a NIM system and a NES is investigated. Firstly, the governing dynamic equations are derived, and the amplitude-frequency response and force transmissibility curves of the HVI-NES system are analytically obtained using the harmonic balance method coupled with an arc-length continuation technique. 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Furthermore, the HVI-NES configuration exhibits superior vibration control efficacy compared to the QZS isolator.\u003c/p\u003e","manuscriptTitle":"Nonlinear Energy Sink-Enhanced Hybrid Vibration Isolator with Quasi-Zero-Stiffness and Nonlinear Inerter for Broadband Suppression","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-03 05:27:56","doi":"10.21203/rs.3.rs-6254806/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-04-05T04:19:29+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-04-02T03:15:49+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-03-30T09:24:28+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"297612827537216264166255204589535302834","date":"2025-03-28T12:12:02+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"235773978871522725235109740051169151170","date":"2025-03-28T02:48:48+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"275004439248174396800660939291353721530","date":"2025-03-27T09:37:11+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"260531628863024208159897920887110298095","date":"2025-03-27T01:26:25+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-03-26T11:32:31+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"27134543685769217327793924898952181094","date":"2025-03-26T11:25:10+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"329327391126304951296129609545788917491","date":"2025-03-26T03:09:21+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-03-26T02:12:11+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"167362328355979770996383832838754578064","date":"2025-03-26T01:52:19+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-03-26T01:47:29+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-03-23T07:58:11+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-03-22T05:10:46+00:00","index":"","fulltext":""},{"type":"submitted","content":"Nonlinear Dynamics","date":"2025-03-18T15:41:44+00:00","index":"","fulltext":""}],"status":"published","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}}],"origin":"","ownerIdentity":"9e1ae63e-82b5-48c8-8008-5f490444cbac","owner":[],"postedDate":"April 3rd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-07-07T16:12:22+00:00","versionOfRecord":{"articleIdentity":"rs-6254806","link":"https://doi.org/10.1007/s11071-025-11449-w","journal":{"identity":"nonlinear-dynamics","isVorOnly":false,"title":"Nonlinear Dynamics"},"publishedOn":"2025-07-01 15:58:20","publishedOnDateReadable":"July 1st, 2025"},"versionCreatedAt":"2025-04-03 05:27:56","video":"","vorDoi":"10.1007/s11071-025-11449-w","vorDoiUrl":"https://doi.org/10.1007/s11071-025-11449-w","workflowStages":[]},"version":"v1","identity":"rs-6254806","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6254806","identity":"rs-6254806","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}