An adaptive optimization EEMD method and its application in bearing fault detection

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This study proposes an adaptive EEMD parameter optimization method using signal energy to determine noise amplitude and set average number, which effectively identifies bearing fault components compared to traditional EEMD.

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This preprint proposes an adaptive optimization method for ensemble empirical mode decomposition (EEMD) by tuning two parameters: the white noise amplitude coefficient and the set average number. The method uses the energy of the first eigenmode to estimate the amplitude of high-frequency components, applies relative mean square error to determine the low-frequency component amplitude, and then uses the first modal energy to select an optimal number of EEMD sets to improve efficiency and reduce white-noise influence. Effectiveness is evaluated with simulation experiments, and the approach is applied to vibration data for bearing inner ring fault extraction, where it more effectively identifies periodic fault components than traditional EEMD. The paper does not explicitly discuss limitations beyond noting its simulation-based validation and preprint status. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Aim: ing at the optimization of two important parameters (white noise amplitude coefficient and set average number) in the set empirical mode decomposition (EEMD), an adaptive EEMD parameter optimization method is proposed. First of all, this paper extracts the corresponding amplitude of the high-frequency component of the signal through the energy value of the first eigenmode function, uses the relative mean square error to determine the corresponding amplitude of the low-frequency component of the signal, and establishes the optimal amplitude evaluation criteria based on the corresponding amplitude of the two; At the same time, in order to improve the calculation efficiency and reduce the influence of white noise, the energy value of the first modal component is used to determine the optimal average number of sets; Then, the effectiveness of the method in this paper is verified by simulation experiments; Finally, this method is applied to the extraction of bearing inner ring fault vibration signal. The results show that compared with the traditional EEMD method, this method can adaptively determine the noise amplitude and the set average number, and can more effectively identify the periodic fault components of the vibration signal.
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An adaptive optimization EEMD method and its application in bearing fault detection | 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 An adaptive optimization EEMD method and its application in bearing fault detection Xinming Liu, Wenzhuang Chen, Aikun Mao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2615109/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 Aiming at the optimization of two important parameters (white noise amplitude coefficient and set average number) in the set empirical mode decomposition (EEMD), an adaptive EEMD parameter optimization method is proposed. First of all, this paper extracts the corresponding amplitude of the high-frequency component of the signal through the energy value of the first eigenmode function, uses the relative mean square error to determine the corresponding amplitude of the low-frequency component of the signal, and establishes the optimal amplitude evaluation criteria based on the corresponding amplitude of the two; At the same time, in order to improve the calculation efficiency and reduce the influence of white noise, the energy value of the first modal component is used to determine the optimal average number of sets; Then, the effectiveness of the method in this paper is verified by simulation experiments; Finally, this method is applied to the extraction of bearing inner ring fault vibration signal. The results show that compared with the traditional EEMD method, this method can adaptively determine the noise amplitude and the set average number, and can more effectively identify the periodic fault components of the vibration signal. Ensemble empirical mode decomposition (EEMD) Adaptive Parameter optimum Mode mixing Fault components 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-2615109","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":178567099,"identity":"93e1ee03-b831-4ea6-b809-fe14fbb56592","order_by":0,"name":"Xinming Liu","email":"","orcid":"","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Xinming","middleName":"","lastName":"Liu","suffix":""},{"id":178567100,"identity":"ecbbacf5-e62f-43d6-ba40-aedb1af9eba2","order_by":1,"name":"Wenzhuang Chen","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVRIiWNgGAWjYBACNvbmAwc+8EjwMDYcPkCcFj6eY4kPZ8hYyDA3HksgToucRI6xMY9NhQ178xkDIh3Gc8BMgidHgoe37czHG28Y7OR0GwhpYW9Ik5A4I8Ej2XN2s+UchmRjswOEbTkmYdgjwWM44+w2aR6GA4nbCGqRSGyTSPwnwWN//80zYrUkMxscAAfyGTYitfAcY3zYANZyzNhyjgERfpFv7/9w+A9PnT0wKh/eeFNhJ0dQCwqQ4CEyapC1kKpjFIyCUTAKRgQAAA1BQfCqdl8DAAAAAElFTkSuQmCC","orcid":"","institution":"","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Wenzhuang","middleName":"","lastName":"Chen","suffix":""},{"id":178567101,"identity":"63f27462-4e38-43ca-bf21-a3e0de16ea83","order_by":2,"name":"Aikun Mao","email":"","orcid":"","institution":"","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Aikun","middleName":"","lastName":"Mao","suffix":""}],"badges":[],"createdAt":"2023-02-22 07:44:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2615109/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2615109/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":33538327,"identity":"7ad4be92-e088-4ddb-b0de-fe6e67771416","added_by":"auto","created_at":"2023-02-28 06:22:50","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":638871,"visible":true,"origin":"","legend":"","description":"","filename":"AnAdaptiveOptimizationEEMDMethodandItsApplicationinBearingFaultDetection.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2615109/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"An adaptive optimization EEMD method and its application in bearing fault detection","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":"Ensemble empirical mode decomposition (EEMD) , Adaptive , Parameter optimum , Mode mixing , Fault components","lastPublishedDoi":"10.21203/rs.3.rs-2615109/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2615109/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAiming at the optimization of two important parameters (white noise amplitude coefficient and set average number) in the set empirical mode decomposition (EEMD), an adaptive EEMD parameter optimization method is proposed. 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