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

Format:

Book

Author/Creator:

Wasmer, Paul, author.

Series:

Schriftenreihe des Instituts für Mechanik, Karlsruher Institut für Technologie; 13

Language:

English

Subjects (All):

Finite element method.

Isogeometric analysis.

Rotational motion.

Quaternions.

Physical Description:

1 online resource

Place of Publication:

Karlsruhe: KIT Scientific Publishing, 2025.

Summary:

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.

Notes:

Includes bibliographical references and index.

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