20.500.12556/RUL-32163 Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures This paper presents a new finite element formulation of the `geometrically exact finite-strain beam theory'. The governing equations of the beam element are derived in which the strain vectors are the only unknown functions. The consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. The solution is found by a collocation algorithm. The linearity of the strain space not only simplifies the application of Newton's method on the non-linear configuration space, but also leads to the strain-objectivity of the proposed method. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by several examples. (C) 2003 Elsevier B.V. All rights reserved. non-linear beam theory finite-element method three-dimensional rotation rotational invariant strain measure prostorski nosilci točna teorija nelinearnost deformacije metoda končnih elementov true false false Elsevier Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:39 2015-07-10 10:12:39 2022-11-21 15:42:54 0000-00-00 00:00:00 2003 0 0 Str. [5209]-5248 Vol. 192 Vol. 192 2003 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.63:531.1 0045-7825 10.1016/j.cma.2003.07.008 2087265 6695685 SP2003CMAME.pdf SP2003CMAME.pdf 1 BFA0F3D43F8275D92FC910FDD02BA777 d3a4356bec78e824d4dffd8519743f9352d3cd5814d758bd6cf4552a8ec2a150 122ec6c5-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/99a773eb-a22d-4041-9937-5f7c8d68930f https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85668 Fakulteta za gradbeništvo in geodezijo 0 0 0