Analytical Approach for Mechanical Resonance Frequencies of High-Speed Machines

This paper presents an analytical approach for the determination of the mechanical eigenfrequencies of an electrical machine stator. This model is based on the calculation and the minimization of Rayleigh's quotient. It uses an energetic approach from beam theory applied to stators with a Timoshenko kinematic model. This model is very specially adapted for stators with a thick yoke as the high-speed machines. This approach is validated by finite-element simulations and experimental measurements.