Nonlinear numerical analysis of a thin current-carrying frustum shell based on magnetic-mechanical coupling

A nonlinear magnetoelastic problem for a thin current-carrying frustum shell under the interaction of an electromagnetic field and a mechanical field is studied, and the numerical calculation method is given. The magnetoelastic basic equations of the thin frustum shell are derived. The linearized iterative equations are developed. The stresses and deformations in a thin current-carrying frustum shell under the interaction of electromagnetic field and mechanical loads are calculated by considering a specific example. The magnetoelastic effect on the thin frustum shell by electric current density and magnetic induction intensity is studied. The results show that the stresses and deformations in thin shells can be controlled by changing electric current density or magnetic induction intensity. (paper)