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Instability of a whirling conducting rod in the presence of a magnetic field. application to the problem of space tethers

Valverde, J; 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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