%0 Journal Article
%T A SHEAR LOCKING-FREE BEAM FINITE ELEMENT BASED ON THE MODIFIED TIMOSHENKO BEAM THEORY
%A Cho
%A Dae Seung
%A Senjanovi£¿
%A Ivo
%A Vladimir
%A Nikola
%J -
%D 2013
%X Sa£¿etak An outline of the Timoshenko beam theory is presented. Two differential equations of motion in terms of deflection and cross-section rotation are comprised in one equation and analytical expressions for displacements and sectional forces are given. Two different displacement fields are recognized, i.e. flexural and axial shear, and a modified beam theory with extension is worked out. Flexural and axial shear locking-free beam finite elements are developed. Reliability of the finite elements is demonstrated with numerical examples for a simply supported, clamped and free beam by comparing the obtained results with analytical solutions
%K Timoshenko beam theory
%K modified beam theory
%K flexural vibrations
%K axial shear vibrations
%K beam finite element
%K shear locking
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=171774