On the treatment of finite rotations in the discretization of a geometrically exact beam model / / Paul Wasmer

• Autore: Wasmer Paul
• Pubblicazione: Karlsruhe : , : KIT Scientific Publishing, , 2025
• Descrizione fisica: 1 online resource
• Soggetto topico: Finite element method; Isogeometric analysis; Rotational motion; Quaternions
• Nota di bibliografia: Includes bibliographical references and index.
• Sommario/riassunto: 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.
• Titolo autorizzato: On the treatment of finite rotations in the discretization of a geometrically exact beam model
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911044011003321
• Lo trovi qui: Univ. Federico II