01855nam 2200409zu 450 991104401100332120260213141538.0(CKB)43921450600041(IL-JeEL)9943921450600041(EXLCZ)994392145060004120251205|2025uuuu || |engur|||||||||||txtrdacontentcrdamediacrrdacarrierOn the treatment of finite rotations in the discretization of a geometrically exact beam model /Paul WasmerKarlsruhe:KIT Scientific Publishing,2025.1 online resourceSchriftenreihe des Instituts für Mechanik, Karlsruher Institut für Technologie;133-7315-1410-9 9783731514107 Includes bibliographical references and index.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.Finite element methodIsogeometric analysisRotational motionQuaternionsFinite element method.Isogeometric analysis.Rotational motion.Quaternions.Wasmer Paul1859879BOOK9911044011003321On the treatment of finite rotations in the discretization of a geometrically exact beam model4464192UNINA