Nonlinear Dynamics of a Blade Rotor with Coupled Rubbing of Labyrinth Seal and Tip Seal

Table 1

Parameters of the rotor system.

Parameters	Values
The masses of the labyrinth disk m1	2 kg
The masses of the blade disk m1	8 kg
The moment of inertia of the blade disk Jt2	0.07 kg·m^2
The polar moment of inertia of the blade disk Jp2	0.14 kg·m^2
The clearance of the labyrinth seal r10	0.1 mm
The clearance of the tip seal r20	0.1 mm
The proportional damping coefficient is β	0.0001 N/m
The length of the shaft between the labyrinth disk and the blade disk l	60 mm
Young’s modulus of the labyrinth disk E1	2 × 10^11 Pa
Young’s modulus of the blade Eb	2 × 10^11 Pa
Young’s modulus of the labyrinth seal E1s	2 × 10^11 Pa
Young’s modulus of the tip seal E2s	2 × 10^11 Pa
The diameter of the shaft d	40 mm
The ratio of the length of the shaft n1	6
The ratio of the length of the shaft n2	5.5
The span length of the blade lb	45 mm
The radius of the disk Rd	73 mm
The density of the blade ρ	8000 kg/m^3
The cross-sectional area A	64 mm^2
Poisson ratio of the labyrinth disk μ1	0.1
Poisson ratio of the blade disk μ2	0.1
The bending stiffness of the blade EbIb	21 N/m
The number of the blades Nb	20
The eccentricity of the blade disk e2	0.008 mm
The radius of the labyrinth seal r1c	30 mm
Acceleration of gravity	9.8 m/s