Stability Analysis of Symmetrical Rotors PartiallyFilled with a Viscous Incompressible Fluid

[摘要] 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 witha cylindrical chamber partially filled with a viscous incompressible fluid is investigatedin this paper. The effects of the parameters of rotor system, such as external dampingratio, fluid fill ratio, Reynolds number and mass ratio, on the unstable regions areanalyzed. It is shown that for the stability analysis of fluid filled rotor systems withexternal 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 systemmore stable and two unstable regions may exist even if rotors are isotropic in somecasIs.

[学科分类] 力学，机械学