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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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Autor principal: Wasmer, Paul
Format: Online
Idioma:anglès
Publicat: KIT Scientific Publishing 2025
Matèries:
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
Accés en línia:ONIX_20251202T160246_9783731514107_15
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Sumari: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.

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