Engineering Mechanics

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016

Copyright © 2016 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Dvořáková E., Patzák B.
pages 150 - 153, full text

An isogeometric formulation of planar Timoshenko beams with variable curvature is presented. The Non-Uniform Rational B-Splines (NURBS) are used for both the geometry and unknown approximations. The NURBS capability of exact geometry representation, which is independent of a mesh density, is very advantageous in the analysis of curved beams as there is no loss of accuracy caused by the geometry approximation. The high accuracy results can be obtained while keeping the computational cost low. A beam element for arbitrarily curved planar beams is implemented and its performance is verified by means of few simple tests. The problem of shear locking is observed and is overcome by using reduced integration.

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