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International Journal of Rotating Machinery
Volume 7 (2001), Issue 5, Pages 301-310
http://dx.doi.org/10.1155/S1023621X01000252

Stability Analysis of Symmetrical Rotors Partially Filled with a Viscous Incompressible Fluid

1Department of Electrical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
2Center of Vibration Engineering, Mechanical Engineering Department, Imperial College, Exhibition Road, London SW7 2BX, UK

Revised 21 June 2000

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

On the basis of the linearized fluid forces acting on the rotor obtained directly by using the two-dimensional Navier-Stokes equations, the stability of symmetrical rotors with a cylindrical chamber partially filled with a viscous incompressible fluid is investigated in this paper. The effects of the parameters of rotor system, such as external damping ratio, fluid fill ratio, Reynolds number and mass ratio, on the unstable regions are analyzed. It is shown that for the stability analysis of fluid filled rotor systems with external damping, the effect of the fluid viscosity on the stability should be considered. When the fluid viscosity is included, the adding external damping will make the system more stable and two unstable regions may exist even if rotors are isotropic in some casIs.