The article presents a mathematical theory of the synthesis of a finite element model for the study of electromagnetic and magnetomechanical processes in electrical machines. A complete drawing of the electric machine section in a plane perpendicular to the rotation axis was performed when combining the rotor and stator elements into separate geometric objects. A complete drawing of the electric machine section allows for research with asymmetric geometry of its elements. The applicability of the system of equations solved at each boundary to which a mechanical load is applied is proved. The parameters of multiphysical finite element modeling are determined, which perform numerical calculations: magnetic forces driving the rotor, radial forces causing deformation of the stator, dynamic parameters of the electric machine elements, oscillatory processes. Examples of setting up multiphysical solvers of the modeling environment are given. Mechanical loads acting from magnetic forces on the stator teeth are revealed.