Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers
| dc.creator | Valverde, J. | |
| dc.creator | van der Heijden, G. H. M. | |
| dc.date | 2008-10-20 | |
| dc.date.accessioned | 2026-07-07T10:12:00Z | |
| dc.date.available | 2026-07-07T10:12:00Z | |
| dc.description | We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are considered and we also compute post-buckling configurations. The equations used are the geometrically exact Kirchhoff equations. Magnetic buckling of a welded rod is found to be described by a surprisingly degenerate bifurcation, which is unfolded when both transverse anisotropy of the rod and angular velocity are considered. By solving the linearised equations about the (quasi-) stationary solutions we find various secondary instabilities. Our results are relevant for current designs of electrodynamic space tethers and potentially for future applications in nano- and molecular wires. | |
| dc.identifier | https://arxiv.org/abs/0810.3668 | |
| dc.identifier | http://arxiv.org/abs/0810.3668 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172039 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 74K10; 74G60 | |
| dc.title | Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers | |
| dc.type | text |