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A new finite element formulation of three-dimensional beam theory based on interpolation of curvature

D. Zupan1, M. Saje1
University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1115 Ljubljana, Slovenia.

Computer Modeling in Engineering & Sciences 2003, 4(2), 301-318. https://doi.org/10.3970/cmes.2003.004.301

Abstract

A new finite element formulation of the `kinematically exact finite-strain beam theory' is presented. The finite element formulation employs the generalized virtual work in which the main role is played by the pseudo-curvature vector. The solution of the governing equations is found by using a combined Galerkin-collocation algorithm.

Keywords

three-dimensional beams, rotations, curvature, finite element method.

Cite This Article

Zupan, D., Saje, M. (2003). A new finite element formulation of three-dimensional beam theory based on interpolation of curvature. CMES-Computer Modeling in Engineering & Sciences, 4(2), 301–318.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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