On the treatment of finite rotations in the discretization of a geometrically exact beam model
This work examines the discretizations of finite rotations in the Finite Element Method and Isogeometric Analysis for geometrically exact beam theory. As demonstrated, classical discretization does not achieve optimal convergence behavior. Alternatively, projection-based elements and Gauss-Lobatto e...
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| Fformat: | Online |
| Iaith: | Saesneg |
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KIT Scientific Publishing
2025
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| Mynediad Ar-lein: | ONIX_20251202T160246_9783731514107_15 |
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Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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| _version_ | 1869529027391258624 |
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| author | Wasmer, Paul |
| author_browse | Wasmer, Paul |
| author_facet | Wasmer, Paul |
| author_sort | Wasmer, Paul |
| collection | Directory of Open Access Books |
| description | This work examines the discretizations of finite rotations in the Finite Element Method and Isogeometric Analysis for geometrically exact beam theory. As demonstrated, classical discretization does not achieve optimal convergence behavior. Alternatively, projection-based elements and Gauss-Lobatto elements are explored for beam formulations using directors and quaternions. A formulation based on quaternions proves to be better suited due to its simpler discretization approach. |
| format | Online |
| id | doab-20.500.12854ir-169802 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1698022025-12-03T05:07:47Z On the treatment of finite rotations in the discretization of a geometrically exact beam model Wasmer, Paul Isogeometrische Analysis Geometrisch exakter Balken Simo-Reissner Balken Projektions-basierte Finite Elemente Rotationen Quaternionen isogeometric analysis geometrically exact beam Simo-Reissner beam projection-based finite elements rotations quaternions thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes This work examines the discretizations of finite rotations in the Finite Element Method and Isogeometric Analysis for geometrically exact beam theory. As demonstrated, classical discretization does not achieve optimal convergence behavior. Alternatively, projection-based elements and Gauss-Lobatto elements are explored for beam formulations using directors and quaternions. A formulation based on quaternions proves to be better suited due to its simpler discretization approach. 2025-12-03T05:07:46Z 2025-12-03T05:07:46Z 2025-12-02T15:12:57Z 2025 book ONIX_20251202T160246_9783731514107_15 2363-4936 (Online) https://library.oapen.org/handle/20.500.12657/108907 9783731514107 https://directory.doabooks.org/handle/20.500.12854/169802 eng Schriftenreihe des Instituts für Mechanik, Karlsruher Institut für Technologie open access image/jpeg Attribution-ShareAlike 4.0 International https://library.oapen.org/bitstream/20.500.12657/108907/1/9783731514107.pdf KIT Scientific Publishing KIT Scientific Publishing 10.5445/KSP/1000178526 10.5445/KSP/1000178526 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731514107 KIT Scientific Publishing 184 Karlsruhe, Germany open access |
| spellingShingle | Isogeometrische Analysis Geometrisch exakter Balken Simo-Reissner Balken Projektions-basierte Finite Elemente Rotationen Quaternionen isogeometric analysis geometrically exact beam Simo-Reissner beam projection-based finite elements rotations quaternions thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes Wasmer, Paul On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title | On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title_full | On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title_fullStr | On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title_full_unstemmed | On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title_short | On the treatment of finite rotations in the discretization of a geometrically exact beam model |
| title_sort | on the treatment of finite rotations in the discretization of a geometrically exact beam model |
| topic | Isogeometrische Analysis Geometrisch exakter Balken Simo-Reissner Balken Projektions-basierte Finite Elemente Rotationen Quaternionen isogeometric analysis geometrically exact beam Simo-Reissner beam projection-based finite elements rotations quaternions thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes |
| topic_facet | Isogeometrische Analysis Geometrisch exakter Balken Simo-Reissner Balken Projektions-basierte Finite Elemente Rotationen Quaternionen isogeometric analysis geometrically exact beam Simo-Reissner beam projection-based finite elements rotations quaternions thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes |
| url | ONIX_20251202T160246_9783731514107_15 |
| work_keys_str_mv | AT wasmerpaul onthetreatmentoffiniterotationsinthediscretizationofageometricallyexactbeammodel |