Nonunit quaternion parametrization of a Petrov–Galerkin Cosserat rod finite element
Abstract: The application of the Petrov–Galerkin projection method in Cosserat rod finite element formulations offers significant advantages in simplifying the expressions within the discrete virtual work functionals. Moreover, it enables a straight‐forward and systematic exchange of the ansatz functions, specifically for centerline positions and cross‐section orientations. In this concise communication, we present a total Lagrangian finite element formulation for Cosserat rods that attempts to minimize the number of required theoretical concepts. The chosen discretization preserves objectivity and allows for large displacements/rotations and for large strains. The orientation parametrization with nonunit quaternions results in a singularity‐free formulation.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Nonunit quaternion parametrization of a Petrov–Galerkin Cosserat rod finite element ; day:21 ; month:09 ; year:2023 ; extent:8
Proceedings in applied mathematics and mechanics ; (21.09.2023) (gesamt 8)
- Urheber
- DOI
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10.1002/pamm.202300172
- URN
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urn:nbn:de:101:1-2023092115292975256781
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 14.08.2025, 10:52 MESZ
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Beteiligte
- Harsch, Jonas
- Eugster, Simon Raphael
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