Abstract
The dynamic response and its stability of a blade rotor with coupled rubbing in the labyrinth seal and tip seal are investigated. The dynamic equations are established based on the Hertz contact rubbing force at the labyrinth seal and the tip rubbing force considering both the contact deformation of the tip seal and the bending deformation of the blade. Numerical simulations show that the coupled rubbing response includes periodic motions, almost periodic motions, and chaotic motions. Compared with the single rubbing fault, coupled rubbing increases the range of rotation velocity of contact. A new continuation shooting method is used in the solution and stability analysis of the periodic response to give the bifurcation diagrams. The paths of the system for entering and exiting chaos are analyzed.
Highlights
To improve the operational efficiency of the turbo machinery, the clearance between the rotor and stator is designed to be smaller and smaller, which increases the possibility of rubbing
Ere are usually two kinds of seals for turbo machines: labyrinth seals and tip seals. e rubbing of labyrinth seals is usually described as a rubbing problem between two cylindrical surfaces. e contact forces may be expressed as a linear or nonlinear function of the deformation of interaction. e friction forces are given by the Coulomb law of friction
When rubbing happens at the tip seal, the number of blades in contact and the deformation of each blade is different at each moment, which is more likely to lead to a complex dynamic response
Summary
To improve the operational efficiency of the turbo machinery, the clearance between the rotor and stator is designed to be smaller and smaller, which increases the possibility of rubbing. When rubbing happens at the tip seal, the number of blades in contact and the deformation of each blade is different at each moment, which is more likely to lead to a complex dynamic response. By assuming the blade as a cantilever beam, Choy [9] and Padovan [23] derived the relationship between the normal contact force and the radial deformation of the blade and investigated the nonlinear dynamics of rotor/casing rub interactions. Chen [29] carried out numerical simulation and experimental research on the rotor dynamics of the blade tip rubbing, in which the frictional force of the blade and the casing adopts the linear rubbing model. We propose a study on the coupled rubbing response of the blade rotor and the bifurcation behavior of the rubbing periodic solutions.
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