Research on the elastic-plastic displacement response of SDOF systems and post-yield stiffness ratio of components under long-period ground motions

Research on the elastic-plastic displacement response of SDOF systems and post-yield stiffness ratio of components under long-period ground motions | 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 Research on the elastic-plastic displacement response of SDOF systems and post-yield stiffness ratio of components under long-period ground motions Jiawei Zhang, Bo Wang, Yang Liu, Fei Cheng, Zhipeng Wang, Huijuan Dai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4527103/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 05 Feb, 2025 Read the published version in Bulletin of Earthquake Engineering → Version 1 posted 4 You are reading this latest preprint version Abstract The elastic-plastic displacement response of structures under long-period ground motions including far-field long-period ground motions (FLGM) and near-fault pulse-like ground motions (NPGM), are significantly different from ordinary ground motions (OGM), and the post-yield stiffness ratio of structures is a crucial index that determines the residual displacements and repairability of structures after earthquakes. Studying the influence of the post-yield stiffness ratio on the maximum and residual displacements of structures under long-period ground motions is crucial for post-earthquake repairs. This paper selected 25 OGM, 25 FLGM, and 25 NPGM to calculate the elastic-plastic displacement response of single degree of freedom (SDOF) systems, analyzing the influence of ground motion types, natural periods, and strength reduction coefficients on normalized elastic-plastic displacement. And the influence of design parameters and loading paths on the post-yield stiffness ratio of components was analyzed by finite element analysis based on the method of calculating the post-yield stiffness ratio of components. The results show that the normalized maximum displacement decreases with the increase of the period, the increase of post-yield stiffness ratio and the decrease of strength reduction coefficient. Nevertheless, the variation degree of the normalized maximum displacement is distinguishing under different ground motions. The normalized residual displacement of SDOF system under the NPGM is the most significant and the variation of normalized residual displacement with post-yield stiffness ratio, strength reduction coefficient and natural period is different under different ground motions. Moreover, post-yield stiffness ratio of components is significantly influenced by design parameters and loading path. Far-field long-period ground motion near-fault pulse-like ground motion post-yield stiffness ratio elastic-plastic analysis residual displacement finite element analysis. Full Text Cite Share Download PDF Status: Published Journal Publication published 05 Feb, 2025 Read the published version in Bulletin of Earthquake Engineering → Version 1 posted Reviewers agreed at journal 26 Aug, 2024 Reviewers invited by journal 08 Jun, 2024 Editor assigned by journal 05 Jun, 2024 First submitted to journal 04 Jun, 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-4527103","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":312026266,"identity":"1d96067d-d2c4-4763-8623-53cbef1e5940","order_by":0,"name":"Jiawei Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA90lEQVRIiWNgGAWjYJCCAx//ScjZNwBZHwxs7IjRwXhwBpuFsQGINaMgLZkYLcyHedgqEjeAWDwfDjE2EFIv3354w2EeHgnG7fyHH962MTjAzMB++OgGvK7qSSs4OEdCgtmy4ZixdY7BHT4GnrS0G3hdxZBjcOCNgQQbw8EGM+kcg2fMDBI8Zni1sPG/MTjAkyDBw3CY/Zu0hcFhxgZCWngkcgwO8hyQkDA4xmMmzUCMFgmJZwUHZzZIGEj28BRb9hikJbMR8ot8f/LmDx8b6ur7+Y9vvPHjj40dP/vhY3i1AIEBwkqw7wgox6JlFIyCUTAKRgE6AAD+z0ni+QxQawAAAABJRU5ErkJggg==","orcid":"","institution":"Chang'an University","correspondingAuthor":true,"prefix":"","firstName":"Jiawei","middleName":"","lastName":"Zhang","suffix":""},{"id":312026267,"identity":"9704bc3e-9d22-4887-9c58-7c6a805a635f","order_by":1,"name":"Bo Wang","email":"","orcid":"","institution":"Chang'an University","correspondingAuthor":false,"prefix":"","firstName":"Bo","middleName":"","lastName":"Wang","suffix":""},{"id":312026268,"identity":"259bfc9f-49af-41e3-9786-1b388ddc2f14","order_by":2,"name":"Yang Liu","email":"","orcid":"","institution":"Chang'an University","correspondingAuthor":false,"prefix":"","firstName":"Yang","middleName":"","lastName":"Liu","suffix":""},{"id":312026269,"identity":"9cb04dec-902f-4f56-8cd0-76543222a536","order_by":3,"name":"Fei Cheng","email":"","orcid":"","institution":"Chang'an University","correspondingAuthor":false,"prefix":"","firstName":"Fei","middleName":"","lastName":"Cheng","suffix":""},{"id":312026270,"identity":"af3e5b5d-c34a-4643-8d2e-add1cfde6b38","order_by":4,"name":"Zhipeng Wang","email":"","orcid":"","institution":"Chang'an University","correspondingAuthor":false,"prefix":"","firstName":"Zhipeng","middleName":"","lastName":"Wang","suffix":""},{"id":312026271,"identity":"13a073a5-61e6-4944-8b55-972f121f4f87","order_by":5,"name":"Huijuan Dai","email":"","orcid":"","institution":"Xi'an University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Huijuan","middleName":"","lastName":"Dai","suffix":""}],"badges":[],"createdAt":"2024-06-04 10:01:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4527103/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4527103/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10518-025-02105-0","type":"published","date":"2025-02-05T15:57:56+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":75930467,"identity":"92bed49e-d5c7-4374-84c5-32c166f726fe","added_by":"auto","created_at":"2025-02-10 16:12:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1586885,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4527103/v1_covered_c75540a1-44ba-45a7-98a0-0c66e1256b27.pdf"}],"financialInterests":"","formattedTitle":"Research on the elastic-plastic displacement response of SDOF systems and post-yield stiffness ratio of components under long-period ground motions","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":"bulletin-of-earthquake-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"beee","sideBox":"Learn more about [Bulletin of Earthquake Engineering](https://www.springer.com/journal/10518)","snPcode":"10518","submissionUrl":"https://submission.nature.com/new-submission/10518/3","title":"Bulletin of Earthquake Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Far-field long-period ground motion, near-fault pulse-like ground motion, post-yield stiffness ratio, elastic-plastic analysis, residual displacement, finite element analysis. ","lastPublishedDoi":"10.21203/rs.3.rs-4527103/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4527103/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe elastic-plastic displacement response of structures under long-period ground motions including far-field long-period ground motions (FLGM) and near-fault pulse-like ground motions (NPGM), are significantly different from ordinary ground motions (OGM), and the post-yield stiffness ratio of structures is a crucial index that determines the residual displacements and repairability of structures after earthquakes. Studying the influence of the post-yield stiffness ratio on the maximum and residual displacements of structures under long-period ground motions is crucial for post-earthquake repairs. This paper selected 25 OGM, 25 FLGM, and 25 NPGM to calculate the elastic-plastic displacement response of single degree of freedom (SDOF) systems, analyzing the influence of ground motion types, natural periods, and strength reduction coefficients on normalized elastic-plastic displacement. And the influence of design parameters and loading paths on the post-yield stiffness ratio of components was analyzed by finite element analysis based on the method of calculating the post-yield stiffness ratio of components. The results show that the normalized maximum displacement decreases with the increase of the period, the increase of post-yield stiffness ratio and the decrease of strength reduction coefficient. Nevertheless, the variation degree of the normalized maximum displacement is distinguishing under different ground motions. The normalized residual displacement of SDOF system under the NPGM is the most significant and the variation of normalized residual displacement with post-yield stiffness ratio, strength reduction coefficient and natural period is different under different ground motions. Moreover, post-yield stiffness ratio of components is significantly influenced by design parameters and loading path.\u003c/p\u003e","manuscriptTitle":"Research on the elastic-plastic displacement response of SDOF systems and post-yield stiffness ratio of components under long-period ground motions","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-06-21 11:18:32","doi":"10.21203/rs.3.rs-4527103/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"","date":"2024-08-27T00:29:38+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-06-08T07:59:52+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-06-05T05:01:53+00:00","index":"","fulltext":""},{"type":"submitted","content":"Bulletin of Earthquake Engineering","date":"2024-06-04T06:00:45+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"bulletin-of-earthquake-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"beee","sideBox":"Learn more about [Bulletin of Earthquake Engineering](https://www.springer.com/journal/10518)","snPcode":"10518","submissionUrl":"https://submission.nature.com/new-submission/10518/3","title":"Bulletin of Earthquake Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"bd861c98-02a8-46ab-8216-58cf2019bdc9","owner":[],"postedDate":"June 21st, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-02-10T16:03:44+00:00","versionOfRecord":{"articleIdentity":"rs-4527103","link":"https://doi.org/10.1007/s10518-025-02105-0","journal":{"identity":"bulletin-of-earthquake-engineering","isVorOnly":false,"title":"Bulletin of Earthquake Engineering"},"publishedOn":"2025-02-05 15:57:56","publishedOnDateReadable":"February 5th, 2025"},"versionCreatedAt":"2024-06-21 11:18:32","video":"","vorDoi":"10.1007/s10518-025-02105-0","vorDoiUrl":"https://doi.org/10.1007/s10518-025-02105-0","workflowStages":[]},"version":"v1","identity":"rs-4527103","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4527103","identity":"rs-4527103","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}