Frequency and Stability Analysis Method of Asymmetric Anisotropic Rotor-Bearing System Based on Three-Dimensional Solid Finite Element Method

Author:

Meng Ma Wei1,Jun Wang Jian1,Zhi Wang1

Affiliation:

1. 405 Group, School of Energy and Power Engineering, Beihang University, Xueyuan Road 37, Haidian District, Beijing 100191, China e-mail:

Abstract

An efficient analysis method is suggested to investigate the frequency characteristics and stability of asymmetric anisotropic rotor-bearing systems. Modifications are made to incorporate the effect of stator asymmetry into an existing three-dimensional (3D) solid finite element procedure developed for rotors with symmetric supports. The reduced ordered linear differential equations with periodic coefficients of the asymmetric anisotropic rotor model are established in the rotating frame. The frequency characteristics and stability of the obtained periodic time-varying coefficient differential equations are investigated based on Floquet theory and Hill's method. Numerical examples and experimental studies are presented to validate the effectiveness of the presented method.

Publisher

ASME International

Subject

Mechanical Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Fuel Technology,Nuclear Energy and Engineering

Reference24 articles.

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3. On the Part of the Motion of the Lunar Perigee Which is a Function of the Mean Motions of the Sun and Moon;Acta Math.,1886

4. Parametrically Excited Lateral Vibrations of an Asymmetric Slender Shaft in Asymmetrically Flexible Bearings;Proc. Inst. Mech. Eng., Part C,1969

5. On the Unstable Vibrations of a Shaft With Unsymmetrical Stiffness Carrying an Unsymmetrical Rotor;ASME J. Appl. Mech.,1968

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