Dynamic Stability of a Conducting, Cylindrical Shell in a Magnetic Field

摘要

The dynamic stability of a thin, perfectly conducting cylindrical shell in axial and azimuthal magnetic fields is investigated by means of the method of normal modes. It is found that in cases where a growth of a surface perturbation is indicated, the e‐folding time corresponds to the time required for the shell to collapse radially. Where stability is predicted, an initial surface perturbation can be shown to execute an oscillatory and damped motion.