| Issue |
MATEC Web Conf.
Volume 211, 2018
The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|
|
|---|---|---|
| Article Number | 02010 | |
| Number of page(s) | 6 | |
| Section | NC: Nonlinear Dynamics and Control of Engineering Systems; TP1: Non-linear vibrations | |
| DOI | https://doi.org/10.1051/matecconf/201821102010 | |
| Published online | 10 October 2018 | |
Helical buckling of thin rods: FE modelling
Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen,
Aberdeen,
AB24 3UE,
Scotland,
UK
* e-mail: marcin.kapitaniak@abdn.ac.uk
In this paper, we utilize the Finite Element (FE) method to model twisting of long thin rods and capture the bifurcation scenarios leading to heli- cal buckling and various further post-buckling states. Since standard nonlinear beam elements do not account for nonlinearity in torsional mode, we derive a modified beam element, which allows to model complex torsional buckling bifurcation scenarios of a thin rod subjected to twisting load. A series of veri- fication tests (static analysis with load stepping) of the developed code are per- formed to determine critical torsional buckling loads for various helical buck- ling modes and compared with ABAQUS FE simulation.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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