Innovative design and nonlinear stability analysis of a micro giant magnetostrictive bone conduction vibrator

Innovative design and nonlinear stability analysis of a micro giant magnetostrictive bone conduction vibrator | 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 Article Innovative design and nonlinear stability analysis of a micro giant magnetostrictive bone conduction vibrator Xin Fu, Chaohui Ai, Hongbo Yan, Jianxin Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5270009/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 Due to the excellent energy conversion engineering characteristics of giant magnetostrictive material (GMM), a giant magnetostrictive bone conduction micro-vibrator is proposed and designed. Base on the linear piezomagnetic equation and the structural dynamics of the GMM bone conduction vibrator, a hysteresis nonlinear dynamic equation for the GMM bone conduction vibrator is derived. Following the application of a dimensionless treatment to the equation, an analysis of the vibrator's main resonance is conducted using a multi-scale method. The chaotic characteristics of the system is examined via both qualitative and quantitative analysis, with particular attention paid to the influences of excitation amplitude and frequency. The results show that the dimensions of the designed excitation coil module is ø5.5×7.15mm, with the overall contour size of the GMM vibrator being as small as ø17×19mm. This meets the miniaturization design requirements of the bone conduction vibrator. A smaller excitation amplitude or a larger damping coefficient is beneficial for reducing the unstable branch of the primary resonance and avoiding the amplitude jump. An appropriate secondary stiffness coefficient is helpful for offsetting the influence of nonlinear factors on the system. Under the condition of given parameters, the GMM bone conduction vibrator exhibits chaotic behaviour, and avoiding its chaotic region can effectively improve the stability of the system. Physical sciences/Engineering/Mechanical engineering Physical sciences/Materials science/Theory and computation Physical sciences/Physics/Applied physics 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-5270009","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":376207578,"identity":"0753c85e-adc5-431d-bb5d-b0cf6bc352a6","order_by":0,"name":"Xin Fu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYBACeYbzDx9+/GfDw9jeQKQWw8YzzMYSbGkyzD0HiLXm8Bk2CR62wzbsMxKI1MHYdvaAhAQPMw/vzMcbbzDU2EQT1MLOcy7BoECCjUdydlqxBcOxtNwGgrbMOGCQIGHAw2M4O8dMgrHhMGEtDPcfGBzgSZDgsb95hlgtB84YNvAcMOBhnMFDpBbDhmPJzJINCTyMPUC/JBDjF3mGw8d/fmz4b8/YfnjjjQ81NkQ4DAkYSCSQohyihVQdo2AUjIJRMDIAACOsQGuiA+FLAAAAAElFTkSuQmCC","orcid":"","institution":"Xinyu Steel Group Co., Ltd","correspondingAuthor":true,"prefix":"","firstName":"Xin","middleName":"","lastName":"Fu","suffix":""},{"id":376207579,"identity":"2b35947a-3311-4444-ad09-2ce3794b4625","order_by":1,"name":"Chaohui Ai","email":"","orcid":"","institution":"Xinyu Steel Group Co., Ltd","correspondingAuthor":false,"prefix":"","firstName":"Chaohui","middleName":"","lastName":"Ai","suffix":""},{"id":376207581,"identity":"670bc52e-a9d5-42be-9ff0-226ed07f6eb6","order_by":2,"name":"Hongbo Yan","email":"","orcid":"","institution":"Inner Mongolia University of Science \u0026 Technology","correspondingAuthor":false,"prefix":"","firstName":"Hongbo","middleName":"","lastName":"Yan","suffix":""},{"id":376207582,"identity":"418c256c-feab-4ef1-afcb-293c88674282","order_by":3,"name":"Jianxin Wang","email":"","orcid":"","institution":"Inner Mongolia University of Science \u0026 Technology","correspondingAuthor":false,"prefix":"","firstName":"Jianxin","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2024-10-15 15:38:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5270009/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5270009/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":73183181,"identity":"6bb9541a-7c01-403e-a3f1-b78024e45f92","added_by":"auto","created_at":"2025-01-07 13:17:22","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3156404,"visible":true,"origin":"","legend":"","description":"","filename":"ORIGINALPAPER.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5270009/v1_covered_c27947bc-45cb-486d-95ce-a6d03074c61c.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Innovative design and nonlinear stability analysis of a micro giant magnetostrictive bone conduction vibrator","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":"","lastPublishedDoi":"10.21203/rs.3.rs-5270009/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5270009/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eDue to the excellent energy conversion engineering characteristics of giant magnetostrictive material (GMM), a giant magnetostrictive bone conduction micro-vibrator is proposed and designed. Base on the linear piezomagnetic equation and the structural dynamics of the GMM bone conduction vibrator, a hysteresis nonlinear dynamic equation for the GMM bone conduction vibrator is derived. Following the application of a dimensionless treatment to the equation, an analysis of the vibrator's main resonance is conducted using a multi-scale method. The chaotic characteristics of the system is examined via both qualitative and quantitative analysis, with particular attention paid to the influences of excitation amplitude and frequency. The results show that the dimensions of the designed excitation coil module is ø5.5×7.15mm, with the overall contour size of the GMM vibrator being as small as ø17×19mm. This meets the miniaturization design requirements of the bone conduction vibrator. A smaller excitation amplitude or a larger damping coefficient is beneficial for reducing the unstable branch of the primary resonance and avoiding the amplitude jump. An appropriate secondary stiffness coefficient is helpful for offsetting the influence of nonlinear factors on the system. Under the condition of given parameters, the GMM bone conduction vibrator exhibits chaotic behaviour, and avoiding its chaotic region can effectively improve the stability of the system.\u003c/p\u003e","manuscriptTitle":"Innovative design and nonlinear stability analysis of a micro giant magnetostrictive bone conduction vibrator","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-11-11 03:52:39","doi":"10.21203/rs.3.rs-5270009/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":"6d20dfe8-1cae-4a76-8a19-b9645a23df28","owner":[],"postedDate":"November 11th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":40049396,"name":"Physical sciences/Engineering/Mechanical engineering"},{"id":40049397,"name":"Physical sciences/Materials science/Theory and computation"},{"id":40049398,"name":"Physical sciences/Physics/Applied physics"}],"tags":[],"updatedAt":"2025-01-07T13:09:04+00:00","versionOfRecord":[],"versionCreatedAt":"2024-11-11 03:52:39","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5270009","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5270009","identity":"rs-5270009","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}