Stress projection procedure for the form-finding analysis of membrane structures

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dc.contributor.authorLang, Rostislavcs
dc.contributor.authorNěmec, Ivancs
dc.contributor.authorPark, K. C.cs
dc.coverage.issue2cs
dc.coverage.volume300cs
dc.date.accessioned2024-05-13T09:45:50Z
dc.date.available2024-05-13T09:45:50Z
dc.date.issued2024-02-01cs
dc.description.abstractThis study examines the form-finding analysis of membrane structures and presents a new general method for determining prestress called stress projection. This method addresses several deficiencies while performing the form-finding analysis, especially in the case of conical membrane structures. A key feature of the proposed stress projection procedure is the adoption of a generally oriented projection plane, where finite elements are projected onto, and the determination of their stress states, which allows for a smooth adaptation of stresses over the membrane structures. Deformation gradients are then evaluated with respect to this projection plane, as opposed to the inertial reference frame used for the computation of stress tensors in subsequent form-finding processes. The proposed stress projection procedure efficiently modifies the stresses over the structures and significantly addresses intrinsic element distortion problems within the form-finding analysis. Thus, the proposed method allows for the maintenance of regularized finite element shapes and the smooth changing of stress states throughout form-finding iteration processes, especially for conical membrane shapes. Numerical experiments demonstrate the efficiency of the implemented stress projection scheme compared with two well-known stress adaptation schemes.en
dc.formattextcs
dc.format.extent1-17cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationENGINEERING STRUCTURES. 2024, vol. 300, issue 2, p. 1-17.en
dc.identifier.doi10.1016/j.engstruct.2023.117173cs
dc.identifier.issn0141-0296cs
dc.identifier.orcid0000-0003-2871-8391cs
dc.identifier.orcid0000-0002-8358-5002cs
dc.identifier.other187566cs
dc.identifier.urihttps://hdl.handle.net/11012/245493
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofENGINEERING STRUCTUREScs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0141029623015882cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0141-0296/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectForm-findingForce-findingEquilibrium searchingStress projectionStress densityDistortion controlElement size controlStress adaptationMembrane structureShell structure optimizationen
dc.titleStress projection procedure for the form-finding analysis of membrane structuresen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-187566en
sync.item.dbtypeVAVen
sync.item.insts2024.05.13 11:45:50en
sync.item.modts2024.05.13 11:13:47en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav stavební mechanikycs
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