20.500.12556/RUL-32155 The linearized three-dimensional beam theory of naturally curved and twisted beams the strain vectors formulation This paper presents the equations of the linearized geometrically exact three-dimensional beam theory of naturally curved and twisted beams. A new finite-element formulation for the linearized theory is proposed in which the strain vectors are the only unknown functions. The linear form of the consistency condition that the equilibrium and the constitutive internal force and moment vectors are equal, is enforced to be satisfied at chosen points. An arbitrary curved and twisted axis of the beam is taken into account which demands proper consideration of the non-linearity of spatial rotations. The accuracy and the efficiency of the derived numerical algorithm are demonstrated by comparing present numerical results with various analytical and numerical results. (c) 2005 Elsevier B.V. All rights reserved. linear beam theory naturally curved beam twisted beam consistent linearization strain measure three-dimensional beam three-dimensional rotation linearna teorija nosilcev ukrivljeni nosilci zviti nosilci konsistentna linearizacija deformacijske količine prostorski nosilci prostorske rotacije true false false Elsevier Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:34 2015-07-10 10:12:34 2022-11-21 15:32:01 0000-00-00 00:00:00 2006 0 0 Str. 4557-4578 št. 33-36 Letn. 195 jul. 2006 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.072:519.61/.64 0045-7825 10.1016/j.cma.2005.10.002 3169889 6695685 SP2006CMAME.pdf SP2006CMAME.pdf 1 AAF900A660EAE307D3D8A4F6DDCE1B8B 2e2b8c3163757030c9df04a129c4a6a488097199ad699e7d0016274e49e14f6b 11ada7db-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/6dcfc841-06fd-43b0-adfd-4908a3f69522 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85660 Fakulteta za gradbeništvo in geodezijo 0 0 0