Kinematic response of end-bearing pile groups subjected to vertically incident P-waves

Kinematic response of end-bearing pile groups subjected to vertically incident P-waves | 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 Kinematic response of end-bearing pile groups subjected to vertically incident P-waves Cheng Yue, Qijian Liu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5300376/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 kinematic response of end-bearing pile groups in an elastic half-space under vertically incident P-waves is investigated in this paper. The soil and the pile groups are considered as continuum elastic elements to formulate the asymmetrical scattered waves resulting from individual piles. General expressions for the vertical scattered displacements in the soil and piles are obtained using the method of separation of variables. Graf's addition theorem is modified to consider the scattered waves resulting from the individual pile pairs in different local polar coordinates. The boundary-valued problems are formulated as an infinite series of linear algebraic systems with unknown coefficients by considering the continuities along the soil-pile interfaces. Truncating numbers are selected to ensure the convergence and accuracy of the proposed method. Parametric studies are conducted to investigate the pile-to-pile interactions under vertically incident P-waves. Numerical results reveal that the pile separations and the pile numbers significantly affect the pile-to-pile interaction of pile groups. Pile group effects are distinct for different pile group arrangements. Dynamic concentrations are observed in the soil layers when the separations and the non-dimensional wavelengths match. Kinematic response pile groups wave scattering pile-to-pile interaction modified Graf’s addition theorem Full Text Additional Declarations The authors declare no competing interests. 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-5300376","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":368873769,"identity":"3efe09d6-3b93-4e5d-9800-c456995ec597","order_by":0,"name":"Cheng Yue","email":"","orcid":"https://orcid.org/0000-0002-7892-9755","institution":"Hunan University","correspondingAuthor":false,"prefix":"","firstName":"Cheng","middleName":"","lastName":"Yue","suffix":""},{"id":368873770,"identity":"fa6d4611-4376-4fed-92a0-f12ddc9f113d","order_by":1,"name":"Qijian Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsElEQVRIiWNgGAWjYFAC5oYDDBUHwEwJIrUwArWcIVULA2MbKVr4DjA2HuaddyfP4ADzwds8DHZ5BLVIHmBsOMy77VmxwQG2ZGsehuRigloMIFoOJ244wGMmzcNwILGBOC1zQFr4v5GipQFsCxtxWiQPMzYcnHPscOLMw2zGlnMMkglr4TvefPjDm5rDiX3Hmx/eeFNhR1gLw2EYgxnsToLqgeAAMYpGwSgYBaNgZAMAQcdCPF/6QOkAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0003-4158-392X","institution":"Hunan University","correspondingAuthor":true,"prefix":"","firstName":"Qijian","middleName":"","lastName":"Liu","suffix":""}],"badges":[],"createdAt":"2024-10-21 01:39:49","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-5300376/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5300376/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":67247692,"identity":"168610c8-421f-42b0-812b-db00e9dbfeed","added_by":"auto","created_at":"2024-10-23 02:08:06","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":7190281,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5300376/v1_covered_7ed50432-7cf4-4ef0-846e-3bbcad3c3cde.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eKinematic response of end-bearing pile groups subjected to vertically incident P-waves\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Kinematic response, pile groups, wave scattering, pile-to-pile interaction, modified Graf’s addition theorem","lastPublishedDoi":"10.21203/rs.3.rs-5300376/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5300376/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe kinematic response of end-bearing pile groups in an elastic half-space under vertically incident P-waves is investigated in this paper. The soil and the pile groups are considered as continuum elastic elements to formulate the asymmetrical scattered waves resulting from individual piles. General expressions for the vertical scattered displacements in the soil and piles are obtained using the method of separation of variables. Graf's addition theorem is modified to consider the scattered waves resulting from the individual pile pairs in different local polar coordinates. The boundary-valued problems are formulated as an infinite series of linear algebraic systems with unknown coefficients by considering the continuities along the soil-pile interfaces. Truncating numbers are selected to ensure the convergence and accuracy of the proposed method. Parametric studies are conducted to investigate the pile-to-pile interactions under vertically incident P-waves. Numerical results reveal that the pile separations and the pile numbers significantly affect the pile-to-pile interaction of pile groups. Pile group effects are distinct for different pile group arrangements. Dynamic concentrations are observed in the soil layers when the separations and the non-dimensional wavelengths match.\u003c/p\u003e","manuscriptTitle":"Kinematic response of end-bearing pile groups subjected to vertically incident P-waves","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-10-23 01:59:47","doi":"10.21203/rs.3.rs-5300376/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":"c8c7f024-a217-4123-ba99-5338c189a004","owner":[],"postedDate":"October 23rd, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-10-23T01:59:47+00:00","versionOfRecord":[],"versionCreatedAt":"2024-10-23 01:59:47","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5300376","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5300376","identity":"rs-5300376","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}