Finite element based expressions for Lorentz, reluctance and magnetostriction forces

The magnetic and mechanical finite element systems are combined into one ma gnetomechanical system. Investigating the coupling terms results in a finit e element expression ibr the magnetic forces (Lorentz force and reluctance force) for both the linear and nonlinear case. The material deformation cau sed by magnetostriction is represented by an equivalent set of mechanical f orces, giving the same strain to the material as magnetostriction does. The resulting magnetostriction force distribution is superposed onto other for ce distributions (external mechanical forces, magnetic forces) before start ing the mechanical deformation or vibration analysis. This procedure is inc orporated into a weakly-coupled cascade solving of the magnetomechanical pr oblem.