A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of planar curved beams

2020 ◽  
Vol 231 (7) ◽  
pp. 2827-2847 ◽  
Author(s):  
Duy Vo ◽  
Pruettha Nanakorn
Keyword(s):  
Timoshenko Beam ◽  
Isogeometric Analysis ◽  
Geometrically Nonlinear ◽  
Curved Beams

scholarly journals ON COMPARISON OF 3D ISOGEOMETRIC TIMOSHENKO AND BERNOULLI BEAM FORMULATIONS

2021 ◽  
Vol 30 ◽  
pp. 12-17
Author(s):  
Edita Dvořáková ◽  
Bořek Patzák
Keyword(s):  
Timoshenko Beam ◽  
Isogeometric Analysis ◽  
Beam Element ◽  
Exact Representation ◽  
Curved Beams ◽  
Bernoulli Beam ◽  
Beam Elements ◽  
Timoshenko Beam Element

Application of isogeometric analysis (IGA) for curved beams is very convenient for its ability of exact representation of curved geometries. Several beam formulation has been presented since the introduction of IGA. In this paper, two different beam formulations are presented: Bernoulli beam formulation of A. M. Bauer et al. [1], and Timoshenko beam element introduced by G. Zhang et al. [2]. Both beam elements are implemented and their performance is documented on the fully threedimensionalexample of helicoidal spring.

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