A numerical analysis of stiffness and damping coefficients for gas film face seals in three degrees of freedom is presented in this paper. By applying small perturbation approximation, the steady and perturbed Reynolds equations, taking account of both hydrodynamic and hydrostatic effects, are obtained and solved by finite element method. Several numerical samples, including externally pressurized annular thrust gas bearings and spiral groove thrust gas bearings, validate the model and numerical algorithm. The results show that the interactions between axial and angular perturbation are negligible. Hence, in the dynamic analysis of gas film face seals, the perturbation in three degrees of freedom can be simplified as two independent ones, an axial movement and an angular wobble around two orthogonal axes perpendicular to axial direction.

Issue Section:
Technical Papers
Keywords:
seals (stoppers), elasticity, damping, film flow, lubrication, fluid dynamics, perturbation theory, mechanical engineering
Topics:
Algorithms, Damping, Degrees of freedom, Finite element methods, Numerical analysis, Stiffness, Pressure, Gas bearings, Hydrostatics, Compressibility, Thrust, Thrust bearings
1.
Manaloski
,
S. B.
, and
Pan
,
C. H. T.
,
1965
, “
The Static and Dynamic Characteristic of the Spiral-Grooved Thrust Bearing
,”
ASME J. Basic Eng.
,
87
, pp.
547
–
558
.
2.
Lund
,
L.
,
1968
, “
Calculation of Stiffness and Damping Properties of Gas Bearings
,”
ASME J. Lubr. Technol.
,
90
, pp.
793
–
803
.
3.
Zhou, H., 1981, “A High Order, Isoparametric, Finite Element Method for the Calculation of Static and Perturbed Frequency Characteristics of Spiral-Grooved Self Acting Gas Bearings,” Proc. 8th International Gas Bearing Symposium, BHRA Fluid Engineering, Cranfield, England, pp. 229–236.
4.
Wang, Y., 1988, “Stability Study of High Speed Gas Lubricated Floating Ring Combined With Aerostatic/Areodynamic Hybrid Bearing,” Ph.D. thesis, Beijing University of Aeronautics and Astronautics, Beijing, China.
5.
Mao
,
Q.
,
Chen
,
Z.
, and
Li
,
Z.
,
1993
, “
Study on An Aerodynamic Thrust Bearing with Elastically Supported Swing Pads
,”
Journal of Beijing Institute of Technology
,
13
(
S1
), pp.
25
–
28
.
6.
Zhang, R., 1994, “Stability of High-Speed Gas Bearing,” Ph.D. thesis, Beijing University of Aeronautics and Astronautics, Beijing, China.
7.
Liu
,
Q. L.
, and
Chen
,
C. Z.
,
1999
, “
Mathematical Model for Gas Bearing With Holes of Tangential Supply
,”
ASME J. Tribol.
,
121
, pp.
301
–
305
.
8.
Cheng
,
H. S.
,
Chow
,
C. Y.
, and
Wilcock
,
D. F.
,
1968
, “
Behavior of Hydrostatic and Hydrodynamic Noncontacting Face Seals
,”
ASME J. Lubr. Technol.
,
90
, pp.
510
–
519
.
9.
Gabriel
,
R. P.
,
1979
, “
Fundamentals of Spiral Groove Noncontacting Face Seals
,”
Lubr. Eng.
,
35
, pp.
367
–
375
.
10.
DiRusso, E., 1983, “Design Analysis of a Self-Acting Spiral Groove Ring Seal for Counter-Rotating Shaft,” Paper No. AIAA-83-1134.
11.
Bonneau
,
D.
,
Huitric
,
J.
, and
Tournerie
,
B.
,
1993
, “
Finite Element Analysis of Grooved Gas Thrust Bearings and Grooved Gas Face Seals
,”
ASME J. Tribol.
,
115
, pp.
348
–
354
.
12.
Cai
,
W.
,
1994
, “
Theory Research of Spiral-Grooved Gas Seal
,”
Journal of Wuhan University of Technology
,
16
(
4
), pp.
118
–
122
.
13.
Zirkelback
,
N.
, and
San Andres
,
L.
,
1999
, “
Effect of Frequency Excitation on Force Coefficients of Spiral Groove Gas Seals
,”
ASME J. Tribol.
,
121
, pp.
734
–
737
.
14.
Shen, X., Wen, Y., Sun, X., et al., 1991, Fundamentals of Tribology, Beijing University of Aeronautics and Astronautics Press, Beijing, China.
15.
Liu, D., Liu, Y., and Chen, S., 1990, Hydrostatic Gas Lubrication, Harbin Institute of Technology Press, Harbin, China.
16.
Liu, Y., 1999, “Behavior of Gas Film Face Seal,” Ph.D. thesis, Beijing University of Aeronautics and Astronautics, Beijing, China.
17.
Shihe, J., 1988, Gas Bearing—Design, Manufacture and Application, Astronautics Press, Beijing, China.
18.
James
,
D. D.
, and
Potter
,
A. F.
,
1967
, “
Numerical Analysis of Gas-Lubricated Spiral-Groove Thrust Bearing-Compressor
,”
ASME J. Lubr. Technol.
,
89
, pp.
439
–
444
.
19.
Galetuse
,
S.
, and
Constantinescu
,
V. N.
,
1987
, “
Stability of the Inward Pumping, Annular, Spiral Grooved Thrust Gas Bearing
,”
Rev. Roum. Sci. Tech., Ser. Mec. Appl.
,
32
, pp.
451
–
467
.
20.
Jang
,
P.
, and
Yu
,
L.
,
1996
, “
Investigation on the Dynamic Characteristic of a Hydrodynamic Thrust Bearing
,”
Journal of Xi’an Jiaotong University
,
30
(
6
), pp.
67
–
74
.
21.
Gu, Y., 1994, Mechanical Face Seals, The University of Petroleum Press, Dongying, China.
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