In this study, the characteristics of ultra-thin gas films are analyzed asymptotically for infinite squeeze number using the molecular gas film lubrication equation with coupled roughness and rarefaction effects taken into consideration. The governing equation of the internal region was obtained by a time averaged technique, and the boundary conditions were obtained numerically from the matching conditions near the boundaries. Two new functions, H and H−1 were proposed for deriving the matching equation near the boundary. Finally, the characteristics of squeeze film bearings with infinite width were analyzed for various roughness parameters (Peklenik number, standard deviations of the composite roughness, and roughness orientation angles), rarefaction parameter (Knudsen number), and operation conditions (excursion ratio).

1.
Bhushan
B.
, and
Tonder
K.
,
1989
a, “
Roughness-Induced Shear- and Squeeze-Film Effects in Magnetic Recording—Part I: Analysis
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
220
227
.
2.
Bhushan
B.
, and
Tonder
K.
,
1989
b, “
Roughness-Induced Shear- and Squeeze-Film Effects in Magnetic Recording—Part II: Applications
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
111
, pp.
228
237
.
3.
Burgdorfer
A.
,
1959
, “
The Influence of the Molecular Mean Free Path on the Performance of Hydrodynaraic Gas Lubricated Bearings
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
81
, pp.
94
100
.
4.
Fukui
S.
, and
Kaneko
R.
,
1988
a, “
Analysis of Ultra-Thin Gas Film Lubrication Based on Linearized Boltzmann Equation: First Report-Derivation of a Generahzed Lubrication Equation Including Thermal Creep Flow
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
253
253
.
5.
Fukui
S.
, and
Kaneko
R.
,
1988
b, “
Experimental Investigation of Externally Pressurized Bearings Under High Knudsen Number Condition
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
110
, pp.
144
144
.
6.
Gunter, P., Fischer, U. Ch., and Dransfeld, K., 1989, “Scanning Near-Field Acoustic Microscopy,” Appl. Phys. Val. B48, p. 89.
7.
Hayashi
T.
,
Fukui
S.
,
Ohkubo
T.
, and
Kaneko
R.
,
1990
,
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, p.
111
111
.
8.
Hosaka, H., Itao, K., and Kuroda, S., 1994, “Evaluation of Energy Dissipahon Mechanisms in Vibrational Microactuators,” Proc. IEEE MEMS Workshop, p. 193.
9.
Hwang
C. C.
,
Fung
R. F.
,
Yang
R. F.
,
Weng
C. I.
, and
Li
W. L.
,
1996
, “
A New Modified Reynolds Equation for Ultrathin Film Gas Lubrication
,”
IEEE Transactions on Magnetics
, Vol.
32
, No.
2
, pp.
344
347
.
10.
Li, W. L., Weng, C. I., and Hwang, C. C, 1995, “Effects of Roughness Orientationson Thin Film Lubrication of Magnetic Recording System,” Journal of Physics D: Applied Physics, pp. 1011–1021.
11.
Li
W. L.
, and
Weng
C. I.
,
1997
, “
Modified Average Reynolds Equation for Ultra-Thin Film Gas Lubrication Considering Roughness Orientations at Arbitrary Knudsen Numbers
,”
Wear
, Vol.
209
, pp.
292
300
.
12.
Maeno
T.
, and
Bogy
D. B.
,
1992
, “
Effect of the Hydrodynamic Bearing on Rotor/Stator Contact in a Ring-Type Ultrasonic Motor
,”
IEEE Trans. Ultrason. Ferroelec, Free, Contr.
, Vol.
UFFC-39
, p.
675
675
.
13.
Malanoski
S. B.
, and
Pan
C. H. T.
,
1965
, “
The Static and Dynamic Characteristics of the Spiral-Grooved Thrust Bearing
,”
ASME Journal of Basic Engineering
, Vol.
87
, pp.
547
558
.
14.
Matsuda
R.
, and
Fukui
S.
,
1995
, “
Asymptotic Analysis of Ultra-Thin Gas Squeeze Film Lubrication for Infinitely Large Squeeze Number (Extension of Pan’s Theory to the Molecular Gas Film Lubrication Equation)
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
117
, pp.
9
15
.
15.
Matsuda
R.
, and
Fukui
S.
,
1996
, “
Ultra-Thin Gas Squeeze Film Characteristics for Finite Squeeze Numbers
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
118
, pp.
201
205
.
16.
Ono
K.
,
1976
, “
Analysis and Its Experimental Verification of Motion of Mass Supported on Compressible Squeeze Film
,”
Journal of JSLE
, Vol.
18
, No.
10
, p.
773
773
(in Japanese).
17.
Pan
C. H. T.
,
1967
, “
On Asymptotic Analysis of Gaseous Squeeze-Film Bearings
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
89
, pp.
245
253
.
18.
Pan, C. H. T., Malanoski, S. B., Broussard, Jr., P. H., and Burch, J. L., 1966, “Theory and Experiments of Squeeze-Film Gas Bearings, Part 1: Cylindrical Journal Bearing,” ASME Journal of Basic Engineering, pp. 191–198.
19.
Pan, C. H. T., and Broussard, Jr., P. H., 1972, MTI Gas Bearing Design Manual, D. F. Wilcock, ed., Ch. 7, Mechanical Tribology, Inc., Latham.
20.
Patir
N.
, and
Cheng
H. S.
,
1978
, “
Average Flow Model for Determining Effects of Three-dimensional Roughness on Partial Hydrodynamic Lubrication
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
100
, pp.
12
17
.
21.
Salbu
E. O. J.
,
1964
, “
Compressible Squeeez Films and Squeeze Bearings
,”
ASME Journal of Basic Engineering
, Vol.
86
, No.
2
, p.
335
335
.
22.
Zhang
L.
,
Cho
D.
,
Shiraishi
H.
, and
Trimmer
W.
,
1992
, “
Squeeze Film Damping in Microelectromechanical Systems
,”,
Micromechanical Systems
ASME 1992, DSC-Vol.
40
, pp.
149
160
.
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