Publication | Multibody System Dynamics Journal 2020
A low order, torsion deformable spatial beam element based on the absolute nodal coordinate formulation and Bishop frame
In this paper we introduce a new singularity-free beam element for large deformation analysis of beam finite elements.
Download publicationAbstract
A low order, torsion deformable spatial beam element based on the absolute nodal coordinate formulation and Bishop frame
Mehran Ebrahimi, Adrian Butscher, Hyunmin Cheong
Multibody System Dynamics Journal 2020
Heretofore, the Serret–Frenet frame has been the ubiquitous choice for analyzing the elastic deformations of beam elements. It is well-known that this frame is undefined at the inflection points and straight segments of the beam where its curvature is zero, leading to singularities and errors in their numerical analysis. On the other hand, there exists a lesser-known frame called Bishop which does not have the caveats of the Serret–Frenet frame and is well-defined everywhere along the beam center-line. Leveraging the Bishop frame, in this paper, we propose a new spatial, singularity-free low order beam element based on the absolute nodal coordinate formulation for both small and large deformation applications. This element, named ANCF14, has a constant mass matrix and can capture longitudinal, transverse (bending) and torsional deformations. It is a two-noded element with 7 degrees of freedom per node, which are global nodal coordinates, nodal slopes and their cross-sectional rotation about the center-line. The newly developed element is tested through four complex benchmarks. Comparing the ANCF14 results with theoretical and numerical results provided in other studies confirms the efficiency and accuracy of the proposed element.
Related Resources
2024
From Keynotes to Art Installations: Autodesk Research Sizzled at AU 24Check out how Autodesk Research made a splash at AU 2024 …
2024
Exploring Opportunities for Adopting Generative AI in Automotive Conceptual DesignThis research discusses opportunities for adopting generative AI in…
2000
Interacting with smoke and fire in real timeThe simulation of fluids is one of the most challenging problems in a…
2008
Programming the Cell Broadband Engine Examples and Best PracticesIn this IBM® Redbooks® publication, we provide an introduction to…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us