English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We study the effect of a magnetic field on the behaviour of a slenderconducting elastic structure, motivated by stability problems of electrodynamicspace tethers. Both statical (buckling) and dynamical (whirling) instabilityare considered and we also compute post-buckling configurations. The equationsused are the geometrically exact Kirchhoff equations. Magnetic buckling of awelded rod is found to be described by a surprisingly degenerate bifurcation,which is unfolded when both transverse anisotropy of the rod and angularvelocity are considered. By solving the linearised equations about the (quasi-)stationary solutions we find various secondary instabilities. Our results arerelevant for current designs of electrodynamic space tethers and potentiallyfor future applications in nano- and molecular wires.

Magnetically-induced buckling of a whirling conducting rod with applications to electrodynamic space tethers