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100   $a20251205|2025uuuu  ||         |
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOn the treatment of finite rotations in the discretization of a geometrically exact beam model /$fPaul Wasmer
210  1$aKarlsruhe:$cKIT Scientific Publishing,$d2025.
215   $a1 online resource
225 1 $aSchriftenreihe des Instituts fu?r Mechanik, Karlsruher Institut fu?r Technologie;$v13
311 08$a3-7315-1410-9 
311 08$a9783731514107 
320   $aIncludes bibliographical references and index.
330   $aThis 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.
606   $aFinite element method
606   $aIsogeometric analysis
606   $aRotational motion
606   $aQuaternions
615  0$aFinite element method.
615  0$aIsogeometric analysis.
615  0$aRotational motion.
615  0$aQuaternions.
700   $aWasmer$b Paul$01859879
906   $aBOOK
912   $a9911044011003321
996   $aOn the treatment of finite rotations in the discretization of a geometrically exact beam model$94464192
997   $aUNINA