20.500.12556/RUL-32141 The quaternion-based three-dimensional beam theory This paper presents the equations for the implementation of rotational quaternions in the geometrically exact three-dimensional beam theory. A new finite-element formulation is proposed in which the rotational quaternions are used for parametrization of rotations along the length of the beam. The formulation also satisfies the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal in its weak form. A strict use of the quaternion algebra in the derivation of governing equations and for the numerical solution is presented. Several numerical examples demonstrate the validity, performance and accuracy of the proposed approach. (C) 2009 Elsevier B.V. All rights reserved. quaternions three-dimensional beam three-dimensional rotation interpolation of rotations kvaternioni prostorski nosilci prostorske rotacije interpolacija rotacij true false false Elsevier Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:26 2015-07-10 10:12:26 2022-11-21 15:25:27 0000-00-00 00:00:00 2009 0 0 Str. 3944-3956 št. 49/52 Letn. 198 2009 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.072.2 0045-7825 10.1016/j.cma.2009.09.002 4800353 6695685 SP2009CMAME.pdf SP2009CMAME.pdf 1 406A2B48CE7182CCFF4C7FAEFF5F09FE e901c568d84a917ea0b442dc08784b822ca36667f1f7641a7bed10e242a3e2a7 10e9be67-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/a33e6705-284f-4de4-9e04-a192cbc1d5b8 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85649 Fakulteta za gradbeništvo in geodezijo 0 0 0