A coupling model for analysing dynamical behaviours of an electromagnetic forming system

A coupling model for analysing dynamical behaviour of an electromagnetic forming system consisting of the expansion of a metallic cylinder by means of an internal solenoidal coil is presented. The two equations governing transient magnetic field and dynamic plastic deformation are solved simultaneously by using finite element and Runge-Kutta methods respectively. The electromotive force due to the deformation is considered. Owing to the fact that the mechanical configuration changes during motion, a suitable technique to avoid introduction of a speed term as well as the remesh generation at each time step is proposed. Eddy currents, magnetic force density, radial displacement and velocity of the cylinder are calculated. The numerical results are in good agreement with measurements.