Mechanical Calculation of Stator Core Vibration of Rotating Electric Machines Using an Analytical Beam Element Model

The stator core vibration caused by electromagnetic forces is an important topic in the design of electric machines. A crucial task for the comprehensive analysis of this issue is to accurately estimate the eigenmodes and eigenfrequencies of the mechanical system, which allows the calculation of the forced mechanical response. This article presents a new analytical model based on beam elements as an alternative to the typical finite-element (FE) and classical analytical models applied for this purpose assuming a 2D simplification of the system. The proposed model takes the stator yoke and teeth into account and is able to predict the eigenmodes, eigenfrequencies and forced response of the stator core of rotating electric machines, such as synchronous and induction motors. The results are compared to FE and analytical calculations and validated based on measurements on the stator core of a permanent magnet synchronous motor.