Valverde, J and van der Heijden, G (2005) Instability of a whirling conducting rod in the presence of a magnetic field. application to the problem of space tethers. In: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol 6, Pts A-C. (pp. 35 - 44). AMER SOC MECHANICAL ENGINEERS
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Abstract
We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure subject to end forces. Both statical (buckling) and dynamical (whirling) instability are considered and five also compute post-buckling configurations. The theory used is the geometrically exact Cosserat rod theory the consider two types of boundary conditions: the traditional welded boundary conditions (for tether-like applications) and a novel set of boundary conditions that give rise to exact helical post-buckling solutions. Our results are relevant for current designs of electrodynamic space tethers and potentially for future applications in nano- and molecular wires.
| Type: | Proceedings paper |
|---|---|
| Title: | Instability of a whirling conducting rod in the presence of a magnetic field. application to the problem of space tethers |
| Event: | 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control |
| Location: | Long Beach, CA |
| Dates: | 2005-09-24 - 2005-09-28 |
| ISBN: | 0-7918-4743-8 |
| Keywords: | BIFURCATION-THEORY, STATES |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Civil, Environmental and Geomatic Engineering |
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