On the treatment of finite rotations in the discretization of a geometrically exact beam model
Buch in deiner Nähe kaufen
Beschreibung
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.
Autor*in
Paul Wasmer
Themen in »On the treatment of finite rotations in the discretization of a geometrically exact beam model«
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