Taking the hemisphere spiral groove hybrid gas bearings (HSGHGB) as the research object, the nonlinear dynamic lubrication analysis mathematical model of spherical hybrid gas bearings is established with the axis instantaneous position and instantaneous displacement speed as the parameters. The perturbation pressure control equation is solved by means of the finite difference method in generalized coordinate system. The calculation program is prepared based on VC++6.0, and the transient perturbation pressure distribution of three-dimensional (3D) gas film, nonlinear gas film force, and dynamic stiffness and damping coefficients are numerically calculated. The influences of different speeds, eccentricity ratios, and gas supply pressures on the dynamic characteristic coefficients of gas film are studied. The results show that the influence of bearing's supply pressure, speed, and eccentricity on the dynamic characteristics of gas film is significant. The dynamic equations of rotor-bearing system containing the gas film dynamic stiffness and the damping coefficients are established, and the stability of the gas film is predicted based on the Routh–Hurwitz stability criterion. The research provides the theoretical foundation for actively controlling the bearing running stiffness and damping and stemming the instability of gas film.

References

References
1.
Mingzhang
,
W.
,
Binzhou
,
J.
, and
Meng
,
G.
,
2011
, “
Performance and Stability Analysis of Gas-Lubricated Journal Bearings in MEMS
,”
Tribol. Int.
,
44
(
7–8
), pp.
887
897
.
2.
Guang
,
Z.
,
Hechun
,
Y.
, and
Wenqi
,
M.
,
2010
, “
Review of Research on Rotor-Gas Bearing-Flexible Support System
,”
Lubr. Eng.
,
35
(
11
), pp.
115
122
.
3.
Chiwang
,
C.
,
2010
, “
Bifurcation and Nonlinear Analysis of a Flexible Rotor Supported by a Relative Short Spherical Gas Bearing System
,”
Commun. Nonlinear Sci. Numer. Simul.
,
15
(
9
), pp.
2659
2671
.
4.
Liangbin
,
G.
,
Zuwen
,
W.
,
Gang
,
B.
, and
Jun
,
L.
,
2005
, “
Experimental Study on the Pressure Distribution of Externally Pressurized Spherical Gas Bearings With Inherent Compensation and Integrated Ball Socket
,”
Tribology
,
25
(
4
), pp.
365
368
.
5.
Ce
,
C.
,
Jinfu
,
Y.
, and
Chaoqun
,
N.
,
2007
, “
Experimental Research on Hydrostatic-Dynamic Hybrid Gas Lubrication Bearings Dynamic Stability
,”
Lubr. Eng.
,
32
(
12
), pp.
30
35
.
6.
Su
,
J. C. T.
, and
Lie
,
K. N.
,
2001
, “
Rotor Dynamic Instability Analysis on Hybrid Air Journal Bearings
,”
Tribol. Int.
,
39
(
3
), pp.
238
248
.
7.
Su
,
J. C.
, and
Lie
,
K. N.
,
2003
, “
Rotation Effects on Hybrid Air Journal Bearings
,”
Tribol. Int.
,
36
(
10
), pp.
717
726
.
8.
Miyatake
,
M.
, and
Yoshimoto
,
S.
,
2010
, “
Numerical Investigation of Static and Dynamic Characteristics of Aerostatic Thrust Bearings With Small Feed Holes
,”
Tribol. Int.
,
43
(
8
), pp.
1353
1359
.
9.
Dongli
,
Q.
, and
Yingxue
,
Y.
,
2006
, “
Analysis of Errors' Effect on Carrying-Capacity of Orifice Compensated Externally Pressurized Gas Spherical Bearing
,”
J. Harbin Bear.
,
27
(
3
), pp.
44
48
.
10.
Chiwang
,
C.
, and
Terngyau
,
H.
,
2010
, “
Theoretical Analysis of High Speed Spindle Air Bearings by a Hybrid
,”
Appl. Math. Comput.
,
217
(
5
), pp.
2084
2096
.
11.
Schiffmann
,
J.
, and
Favrat
,
D.
,
2010
, “
The Effect of Real Gas on the Properties of Herringbone Grooved Journal Bearings
,”
Tribol. Int.
,
43
(
9
), pp.
1602
1614
.
12.
Morosi
,
S.
, and
Santos
,
I. F.
,
2011
, “
Active Lubrication Applied to Radial Gas Journal Bearings
,”
Tribol. Int.
,
44
(
12
), pp.
1949
1958
.
13.
Shemiao
,
Q.
,
Haipeng
,
G.
, and
Lie
,
Y.
,
2007
, “
Dynamic Stiffness and Dynamic Damping Coefficients of Aerodynamic Bearings
,”
J. Mech. Eng.
,
43
(
5
), pp.
91
98
.
14.
Liu
,
J.
, and
Yoshihiro
,
M.
,
2010
, “
Analysis of Oil-Lubricated Herringbone Grooved Journal Bearing With Trapezoidal Cross-Section, Using a Spectral Finite Difference Method
,”
J. Hydrodyn.
,
22
(
5
), pp.
408
412
.
15.
Yinglo
,
C.
,
Chiwang
,
C.
, and
Hanlee
,
Y.
,
2005
, “
Performance Analysis of High-Speed Spindle Aerostatic Bearings
,”
Tribol. Int.
,
38
(
1
), pp.
5
14
.
16.
Chenhui
,
J.
,
Wei
,
Y.
, and
Ming
,
Q.
,
2013
, “
Load Capacity Analysis and Structural Optimizing of Spiral Groove Aerodynamic Bearings
,”
J. Appl. Sci.
,
13
(
18
), pp.
3649
3658
.
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