Analytical Approach for Mechanical Resonance Frequencies of High-Speed Machines

Author

Boisson, Julien ; Louf, F. ; Ojeda, Javier ; Mininger, Xavier ; Gabsi, Mohamed

Author_Institution

Lab. Syst. et Applic. des Technol. de l´Inf. et de l´Energie, Ecole Normale Super. de Cachan, Cachan, France

Volume

61

Issue

6

fYear

2014

fDate

Jun-14

Firstpage

3081

Lastpage

3088

Abstract

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.

Keywords

finite element analysis; matrix algebra; stators; vibrations; Rayleigh quotient calculation; Rayleigh quotient minimization; Timoshenko kinematic model; analytical approach; beam theory; electrical machine stator; energetic approach; experimental measurements; finite-element simulations; high-speed machines; mechanical eigenfrequencies; mechanical resonance frequencies; Analytical model; Rayleigh method; Timoshenko; eigenfrequency; experimentation; finite-element (FE) simulation; high-speed machine;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2013.2272282

Filename

6553176