20.500.12556/RUL-32172 Kinematically exact curved and twisted strain-based beam The paper presents a formulation of the geometrically exact three-dimensional beam theory where the shape functions of three-dimensional rotations are obtained from strains by the analytical solution of kinematic equations. In general it is very demanding to obtain rotations from known rotational strains. In the paper we limit our studies to the constant strain field along the element. The relation between the total three-dimensional rotations and the rotational strains is complicated even when a constant strain field is assumed. The analytical solution for the rotation matrix is for constant rotational strains expressed by the matrix exponential. Despite the analyticalrelationship between rotations and rotational strains, the governingequations of the beam are in general too demanding to be solved analytically. A finite-element strain-based formulation is presented in which numerical integration in governing equations and their variations is completely omitted and replaced by analytical integrals. Some interesting connections between quantities and non-linear expressions of the beam are revealed. These relations can also serve as useful guidelines in the development of new finite elements, especially in the choice of suitable shapefunctions. strain measure constant strain non-linear beam theory three-dimensional beam three-dimensional rotation deformacijske količine konstantne deformacije nelinearna teorija nosilcev prostorski nosilci prostorske rotacije true false false Elsevier Angleški jezik Angleški jezik Neznano 2015-07-10 10:12:45 2015-07-10 10:12:45 2022-11-21 15:41:16 0000-00-00 00:00:00 2012 0 0 Str. 1802-1817 št. 13 Letn. 49 2012 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 531:624.072.2 0020-7683 10.1016/j.ijsolstr.2012.03.033 5825121 997903 SP2012IJSS.pdf SP2012IJSS.pdf 1 3FBF7E91905C13F66082586F8C84BDC3 5c170ae540f821c45f60edfa65e8227c1709f811644586472b696d8963b6f437 138d4979-a1ae-11eb-a523-00155dcfd717 20.500.12556/rul/37fab994-733d-4478-bb14-14522b4b670c https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=85689 Fakulteta za gradbeništvo in geodezijo 0 0 0