Abstract
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.
Highlights
Isogeometric analysis is an alternative of standard finite element analysis introduced in 2005 by T
The crucial impulse for its development was given by the desire for the automatic connection between Computer-aided design (CAD) and Finite element analysis
This goal has been achieved by the application of the same Non-Uniform Rational B-Splines (NURBS)-based geometry description in CAD for the unknown approximation in the analysis
Summary
Isogeometric analysis is an alternative of standard finite element analysis introduced in 2005 by T. The crucial impulse for its development was given by the desire for the automatic connection between Computer-aided design (CAD) and Finite element analysis. This goal has been achieved by the application of the same NURBS-based geometry description in CAD for the unknown approximation in the analysis. The focus of this paper is placed on the isogeometric analysis of spatial curved beams. Two different beam formulations are presented and their performance is compared on a benchmark problem. The first beam formulation is based on Bernoulli beam theory, while the Timoshenko kinematics is assumed in the second beam element presented
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