Analysis of Vibration Signal Modulation Mechanism of Planetary Gear Set Under the Influence of Nonlinear Factors

Analysis of Vibration Signal Modulation Mechanism of Planetary Gear Set Under the Influence of Nonlinear Factors | 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 Analysis of Vibration Signal Modulation Mechanism of Planetary Gear Set Under the Influence of Nonlinear Factors Hongxiang Jing, Dong Zhen, Guojin Feng, Xiaoxia Liang, Hao Zhang, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4271083/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 The vibration signals of a planetary gear set exhibit rich spectra that can reflect its operating states. In previous phenomenological models, the sidebands are mostly explored under the condition of constant speed. However, the vibration signal is not only affected by internal nonlinear factors such as velocity fluctuations, fault excitation and manufacturing errors, but also by transmission path effects that cause the vibration signal to be further modulated, making it difficult to recognize fault characteristics. To solve this problem, this paper characterizes the actual rotational speed fluctuation through Fourier series, deduces the excitation force model by comprehensively considering the manufacturing error and fault excitation, and establishes a vibration signal model of the planetary gear set by considering the influence of the transmission path effect. Simulation results show that manufacturing errors and sun gear faults cause the meshing frequency to be modulated by the sun gear rotational frequency. Moreover, the vibration signal model considering speed fluctuation reflects the fault characteristic frequency, and the harmonics of the fault characteristic frequency are modulated by the planetary carrier rotational frequency. The spectral distribution pattern is consistent with the frequency distribution of the experimental signal, verifying the accuracy of the model. Planetary gear set Transmission path effect Speed fluctuations Error excitation Tooth root crack 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. 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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-4271083","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":293588951,"identity":"0e89c6e1-4fef-4add-8dc2-38e8f696fd3d","order_by":0,"name":"Hongxiang Jing","email":"","orcid":"","institution":"Hebei University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hongxiang","middleName":"","lastName":"Jing","suffix":""},{"id":293588952,"identity":"2bdaed64-9aa1-42d1-8024-7ed473429155","order_by":1,"name":"Dong Zhen","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0klEQVRIiWNgGAWjYDCCAwxsQNImgUECzGUmWksaSAtjAylaDpOghe8A+7MHH3ecz+OX7jF/wFBhndjAfvYAXi2SBxjSDWeeuV0sOeeMYQPDmfTEBp68BLxaDA4wHJPmbbuduOFGjmEDY9vhxAYJHgMCWhjbpP+2nUvcD9byjygtzGzSjG0HEjdIgLQ0EKFF8jAbm2RvW3LijDvHCmckHEs3buPJwa+F73j7M4mfbXaJ/bObN3z4UGMt289+Br8W1IhIAGI2/OpHwSgYBaNgFBADAJghSD+iwefmAAAAAElFTkSuQmCC","orcid":"","institution":"Hebei University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Dong","middleName":"","lastName":"Zhen","suffix":""},{"id":293588953,"identity":"62de1723-2a32-4c5f-b2b7-676bbb0e7c6f","order_by":2,"name":"Guojin Feng","email":"","orcid":"","institution":"Hebei University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Guojin","middleName":"","lastName":"Feng","suffix":""},{"id":293588954,"identity":"c3b59162-248a-4c17-853e-6b585a3922f2","order_by":3,"name":"Xiaoxia Liang","email":"","orcid":"","institution":"Hebei University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Xiaoxia","middleName":"","lastName":"Liang","suffix":""},{"id":293588955,"identity":"6b192766-37d7-4930-9d96-e6fad45bc63f","order_by":4,"name":"Hao Zhang","email":"","orcid":"","institution":"Hebei University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hao","middleName":"","lastName":"Zhang","suffix":""},{"id":293588956,"identity":"2530df19-8e5d-413b-9444-3d7023ba18e1","order_by":5,"name":"Fengshou Gu","email":"","orcid":"","institution":"University of Huddersfield","correspondingAuthor":false,"prefix":"","firstName":"Fengshou","middleName":"","lastName":"Gu","suffix":""}],"badges":[],"createdAt":"2024-04-15 17:05:10","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4271083/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4271083/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":64052363,"identity":"008972fd-0c7b-4883-9571-5497605f2e80","added_by":"auto","created_at":"2024-09-05 16:47:09","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1857467,"visible":true,"origin":"","legend":"","description":"","filename":"AnalysisofVibrationSignalModulationMechanismofPlanetaryGearSetUndertheInfluenceofNonlinearFactors.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4271083/v1_covered_1d580a5c-7371-4ad8-bd51-879f17380c0b.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analysis of Vibration Signal Modulation Mechanism of Planetary Gear Set Under the Influence of Nonlinear Factors","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":"Planetary gear set, Transmission path effect, Speed fluctuations, Error excitation, Tooth root crack","lastPublishedDoi":"10.21203/rs.3.rs-4271083/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4271083/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe vibration signals of a planetary gear set exhibit rich spectra that can reflect its operating states. In previous phenomenological models, the sidebands are mostly explored under the condition of constant speed. However, the vibration signal is not only affected by internal nonlinear factors such as velocity fluctuations, fault excitation and manufacturing errors, but also by transmission path effects that cause the vibration signal to be further modulated, making it difficult to recognize fault characteristics. To solve this problem, this paper characterizes the actual rotational speed fluctuation through Fourier series, deduces the excitation force model by comprehensively considering the manufacturing error and fault excitation, and establishes a vibration signal model of the planetary gear set by considering the influence of the transmission path effect. Simulation results show that manufacturing errors and sun gear faults cause the meshing frequency to be modulated by the sun gear rotational frequency. Moreover, the vibration signal model considering speed fluctuation reflects the fault characteristic frequency, and the harmonics of the fault characteristic frequency are modulated by the planetary carrier rotational frequency. The spectral distribution pattern is consistent with the frequency distribution of the experimental signal, verifying the accuracy of the model.\u003c/p\u003e","manuscriptTitle":"Analysis of Vibration Signal Modulation Mechanism of Planetary Gear Set Under the Influence of Nonlinear Factors","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-04-24 03:13:12","doi":"10.21203/rs.3.rs-4271083/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":"e4f962f8-a845-4436-898e-ea4464f679f2","owner":[],"postedDate":"April 24th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-09-05T16:39:01+00:00","versionOfRecord":[],"versionCreatedAt":"2024-04-24 03:13:12","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4271083","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4271083","identity":"rs-4271083","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}