Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation

Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation | 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 Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation Liang Li, Yaolun Wang, Yongbin Guo, Dingguo Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1554250/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract Compared with traditional linear elastic materials, the soft structure composed of incompressible hyperelastic materials has not only geometrical nonlinearity but also material nonlinearity during deformation. In this paper, the absolute nodal coordinate formulation (ANCF) is used to study the large deformations and large overall motions of incompressible hyperelastic curved beams. A novel large deformation dynamic modeling method for curved beams made of hyperelastic materials is proposed, in which a simplified Neo-Hookean model is combined with the one-dimensional ANCF beam element. The elastic force vector is calculated according to the exact expression of curvature. The dynamic equations are derived by using the virtual work principle. The dynamic responses of a cantilever silica gel beam under gravity are calculated based on the present method and compared with those of the improved low-order beam element (ILOBE), high-order beam element (HOBE), and commercial finite element analysis software (ANSYS). Simulation results show that the proposed method can accurately describe the large deformation and large overall motion of the beam, and has better computational efficiency. Research in this paper provides an efficient dynamic model for the dynamics analysis of soft robot arms. Absolute nodal coordinate formulation Hyperelastic materials Curved Beam Large deformation Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revisions 27 May, 2022 Reviews received at journal 20 Apr, 2022 Reviewers invited by journal 19 Apr, 2022 Editor assigned by journal 13 Apr, 2022 First submitted to journal 13 Apr, 2022 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. 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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-1554250","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":99883849,"identity":"00ee7e2f-11c3-4e97-83d1-62710fba7e36","order_by":0,"name":"Liang Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVRIie2RvQrCMBRGUwpxKXaN+PcKVwLRQXwWRdBJcJJOUnB39y0CguJ2oaBLHsBRl84FRdw0yQO0GQVzhg8S7iFfEkI8nh+kHppcsg4haDeCtEqhVgHGrYJOik0gEzvpptTC/P6EwfwYKP4oyLAtMcxv5cVon7eALU6pEgzJjEukfai4i2gyrUhUQhfLJhIjysqV2ssoc0DFCyQfFyUSjQLYWCugi6GTsmrqR+5JPK+YginfZVSUKnF8OTTeyboL12xfJMmovb1s8lLFEEYmdSvzQXpZNa8J3va81GHU4/F4/pIvx9hEmbM2BtgAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0001-6529-5389","institution":"Nanjing University of Science and Technology","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Liang","middleName":"","lastName":"Li","suffix":""},{"id":99883847,"identity":"a98758e8-a239-4e03-b41a-da81c53e30c6","order_by":1,"name":"Yaolun Wang","email":"","orcid":"","institution":"Nanjing University of Science and Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yaolun","middleName":"","lastName":"Wang","suffix":""},{"id":99883848,"identity":"a81c2c95-a2de-4d08-a9fa-4bdb51840b90","order_by":2,"name":"Yongbin Guo","email":"","orcid":"","institution":"Nanjing University of Science and Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yongbin","middleName":"","lastName":"Guo","suffix":""},{"id":99883850,"identity":"449cb364-8204-408c-8cb4-57820e6a41b0","order_by":3,"name":"Dingguo Zhang","email":"","orcid":"","institution":"Nanjing University of Science and Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Dingguo","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2022-04-13 12:24:03","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1554250/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1554250/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":20617229,"identity":"5f42b00b-3d8f-427a-ad19-49a2d145fe7e","added_by":"auto","created_at":"2022-04-21 17:14:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1018362,"visible":true,"origin":"","legend":"","description":"","filename":"WangetalNODY.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1554250/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1554250/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Absolute nodal coordinate formulation, Hyperelastic materials, Curved Beam, Large deformation","lastPublishedDoi":"10.21203/rs.3.rs-1554250/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1554250/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eCompared with traditional linear elastic materials, the soft structure composed of incompressible hyperelastic materials has not only geometrical nonlinearity but also material nonlinearity during deformation. In this paper, the absolute nodal coordinate formulation (ANCF) is used to study the large deformations and large overall motions of incompressible hyperelastic curved beams. A novel large deformation dynamic modeling method for curved beams made of hyperelastic materials is proposed, in which a simplified Neo-Hookean model is combined with the one-dimensional ANCF beam element. The elastic force vector is calculated according to the exact expression of curvature. The dynamic equations are derived by using the virtual work principle. The dynamic responses of a cantilever silica gel beam under gravity are calculated based on the present method and compared with those of the improved low-order beam element (ILOBE), high-order beam element (HOBE), and commercial finite element analysis software (ANSYS). Simulation results show that the proposed method can accurately describe the large deformation and large overall motion of the beam, and has better computational efficiency. Research in this paper provides an efficient dynamic model for the dynamics analysis of soft robot arms.\u003c/p\u003e","manuscriptTitle":"Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-04-21 17:13:57","doi":"10.21203/rs.3.rs-1554250/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revisions","date":"2022-05-27T21:35:20+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2022-04-20T08:09:55+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-04-20T02:16:17+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2022-04-13T15:13:01+00:00","index":"","fulltext":""},{"type":"submitted","content":"Nonlinear Dynamics","date":"2022-04-13T08:23:14+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"4f79222b-1654-48b7-8f8c-956e161af8ee","owner":[],"postedDate":"April 21st, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2022-11-01T03:48:36+00:00","versionOfRecord":[],"versionCreatedAt":"2022-04-21 17:13:57","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-1554250","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-1554250","identity":"rs-1554250","version":["v1"]},"buildId":"FbvkV6FR0MCFSLy54lSbu","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}