Identification of the bridge moving loads based on fractional conjugate gradient method

Identification of the bridge moving loads based on fractional conjugate gradient method | 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 Identification of the bridge moving loads based on fractional conjugate gradient method Hongchun Wu, Linjun Wang, Chengsheng Luo This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3910588/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Aug, 2024 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted 4 You are reading this latest preprint version Abstract This paper proposes a bridge moving load identification method based on the Fractional Conjugate Gradient (FCG) method to address the low identification accuracy of traditional conjugate gradient methods. Firstly, the mathematical framework for detecting the moving load in the vehicle-bridge system is established by utilizing both the time-domain deconvolution technique and modal superposition approach. Secondly, the derivation of the discrete moving load identification system matrix equation not only transforms the problem, but also enables its formulation as an unconstrained optimization problem. Finally, the load information is obtained iteratively by the FCG method. Experimental results demonstrate that, compared with the Hestenes-Stiefel conjugate gradient (HSCG) method, the Flether-Reeves conjugate gradient (FRCG) method, and the Polak-Ribire-Polyak conjugate gradient(PRPCG) method, the FCG method has faster identification speed, smaller identification error, and higher identification accuracy and noise resistance in identifying bridge moving loads at different noise levels. Moving load identification Fractional order Conjugate gradient method Noise immunity Full Text Cite Share Download PDF Status: Published Journal Publication published 28 Aug, 2024 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted Reviewers agreed at journal 20 Feb, 2024 Reviewers invited by journal 20 Feb, 2024 Editor assigned by journal 05 Feb, 2024 First submitted to journal 28 Jan, 2024 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-3910588","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":274104105,"identity":"096d36b0-f5d6-4818-a73a-615654d53075","order_by":0,"name":"Hongchun Wu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1ElEQVRIiWNgGAWjYBACfvnHBx//MLCRk2dmPkCcFsmGtGRjhoo0Y8P2tgTitBgcyDGTZjhzOJHhzBkDIl124IyZdGFbWgLjjJyPN94w2MnpNhDQwdjYVmw9s80mj10id7PlHIZkY7MDBLQwMzNvvMHbllbMOCN3mzQPw4HEbYS0sLExGEjwth1ObLiR84w4LTw8LEbSPEDvN5w5w0acFgkJtmTDGZBANracY0CEX+xvMB988AESlQ9vvKmwkyOoBdVKHmKjBkkLqTpGwSgYBaNgRAAALl1EJBXvIiUAAAAASUVORK5CYII=","orcid":"https://orcid.org/0009-0007-4746-5621","institution":"China Three Gorges University","correspondingAuthor":true,"prefix":"","firstName":"Hongchun","middleName":"","lastName":"Wu","suffix":""},{"id":274104106,"identity":"05564228-b424-4aef-93fd-3efe310821f8","order_by":1,"name":"Linjun Wang","email":"","orcid":"https://orcid.org/0000-0002-7453-8992","institution":"China Three Gorges University","correspondingAuthor":false,"prefix":"","firstName":"Linjun","middleName":"","lastName":"Wang","suffix":""},{"id":274104107,"identity":"eeacf5e0-22ff-4a61-8d3d-d44332d4fc57","order_by":2,"name":"Chengsheng Luo","email":"","orcid":"","institution":"China Three Gorges University","correspondingAuthor":false,"prefix":"","firstName":"Chengsheng","middleName":"","lastName":"Luo","suffix":""}],"badges":[],"createdAt":"2024-01-30 12:46:03","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3910588/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3910588/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s40430-024-05129-w","type":"published","date":"2024-08-28T15:57:57+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":63821018,"identity":"af815d89-9c17-4470-8861-c49293bb5a51","added_by":"auto","created_at":"2024-09-02 16:10:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":623884,"visible":true,"origin":"","legend":"","description":"","filename":"FCGwu.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3910588/v1_covered_3dee1762-2168-4939-99a7-4ec51fd51c55.pdf"}],"financialInterests":"","formattedTitle":"Identification of the bridge moving loads based on fractional conjugate gradient method","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":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Moving load identification, Fractional order, Conjugate gradient method, Noise immunity","lastPublishedDoi":"10.21203/rs.3.rs-3910588/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3910588/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper proposes a bridge moving load identification method based on the Fractional Conjugate Gradient (FCG) method to address the low identification accuracy of traditional conjugate gradient methods. Firstly, the mathematical framework for detecting the moving load in the vehicle-bridge system is established by utilizing both the time-domain deconvolution technique and modal superposition approach. Secondly, the derivation of the discrete moving load identification system matrix equation not only transforms the problem, but also enables its formulation as an unconstrained optimization problem. Finally, the load information is obtained iteratively by the FCG method. Experimental results demonstrate that, compared with the Hestenes-Stiefel conjugate gradient (HSCG) method, the Flether-Reeves conjugate gradient (FRCG) method, and the Polak-Ribire-Polyak conjugate gradient(PRPCG) method, the FCG method has faster identification speed, smaller identification error, and higher identification accuracy and noise resistance in identifying bridge moving loads at different noise levels.","manuscriptTitle":"Identification of the bridge moving loads based on fractional conjugate gradient method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-02-23 12:37:31","doi":"10.21203/rs.3.rs-3910588/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"","date":"2024-02-20T09:46:22+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-02-20T09:39:40+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-02-06T02:47:35+00:00","index":"","fulltext":""},{"type":"submitted","content":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","date":"2024-01-29T03:57:40+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"b8b95dfb-409c-4216-a367-1d753218abe1","owner":[],"postedDate":"February 23rd, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2024-09-02T16:03:27+00:00","versionOfRecord":{"articleIdentity":"rs-3910588","link":"https://doi.org/10.1007/s40430-024-05129-w","journal":{"identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isVorOnly":false,"title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering"},"publishedOn":"2024-08-28 15:57:57","publishedOnDateReadable":"August 28th, 2024"},"versionCreatedAt":"2024-02-23 12:37:31","video":"","vorDoi":"10.1007/s40430-024-05129-w","vorDoiUrl":"https://doi.org/10.1007/s40430-024-05129-w","workflowStages":[]},"version":"v1","identity":"rs-3910588","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3910588","identity":"rs-3910588","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}