Electroconductive cylindrical thin elastic shells carrying electric current and immersed in a magnetic field: Implications of the current-magnetic coupling on the shells' instability

摘要

The dynamic behavior and instability of perfectly electroconductive circular cylindrical thin shells immersed in an applied magnetic field and simultaneously carrying electric current is modeled and investigated. It is assumed that the current and the applied magnetic field are parallel and aligned to the shell's longitudinal direction. Within the framework of the technical theory of thin shells, the 2-D equations of motion that capture the interaction between the shell and the electromagnetic field are derived. Having in view that the thin-walled structures carrying strong electric current are highly susceptible to buckling, by using the present model, the influence of the current-magnetic coupling on the shell buckling is specifically addressed.