This paper extends the theory originally developed by Tichy (Tichy and Bou-Said, 1991, Hydrodynamic Lubrication and Bearing Behavior With Impulsive Loads,” STLE Tribol. Trans. 34, pp. 505–512) for impulsive loads to high reduced Reynolds number lubrication. The incompressible continuity equation and Navier-Stokes equations, including inertia terms, are simplified using an averaged velocity approach to obtain an extended form of short bearing Reynolds equation which applies to both laminar and turbulent flows. A full kinematic analysis of the short journal bearing is developed. Pressure profiles and linearized stiffness, damping and mass coefficients are calculated for different operating conditions. A time transient solution is developed. The change in the rotor displacements when subjected to unbalance forces is explored. Several comparisons between conventional Reynolds equation solutions and the extended Reynolds number form with temporal inertia effects are presented and discussed. In the specific cases considered in this paper, the primary conclusion is that the turbulence effects are significantly more important than inertia effects.

References

References
1.
Szeri
,
A. Z.
, 1998,
Fluid Film Lubrication Theory and Design
,
Cambridge University Press
,
Cambridge
.
2.
Pinkus
,
O.
, and
Sternlicht
,
B.
, 1961,
Theory of Hydrodynamic Lubrication
,
McGraw-Hill
,
New York
.
3.
Banerjee
,
M. B.
,
Shandil
,
R. G.
,
Katyal
,
S. P.
,
Dube
,
G. S.
,
Pal
,
T. S.
, and
Banerjee
,
K.
, 1986, “
A Nonlinear Theory of Hydrodynamic Lubrication
,”
J. Math. Anal. Appl.
,
117
(
1
), pp.
48
56
.
4.
Chen
,
Chen -Hain
, and
Chen
,
Chato -Kuang
, 1989, “
The Influence of Fluid Inertia on The Operating Characteristics of Finite Journal Bearings
,”
Wear
,
131
, pp.
229
240
.
5.
Tieu
,
A. K.
, 1986, “
Turbulence and Inertia Effects in Finite Width Stepped Thrust Bearings
,”
Proceedings of the 13th Leeds-Lyon Symposium on Tribology, Fluid Film Lubrication Osborne Reynolds Centenary
,
Dowson
,
Taylor
,
Godet
, and
Berthe
, eds., pp.
411
416
.
6.
Ng
,
C. W.
, 1964, “
Fluid Dynamic Foundation of Turbulent Flow
,”
ASLE Trans.
,
7
, pp.
311
321
.
7.
Ng
,
C. W.
, and
Pan
,
C. H. T.
, 1965, “
A Linearized Turbulent Lubrication Theory
,”
ASME J. Basic Eng.
,
8
, pp.
675
682
.
8.
Elrod
,
H. G.
, and
Ng
,
C. W
, 1967, “
A Theory for Turbulent Fluid Films and Its Application to Bearings
,”
ASME J. Lubr. Technol.
,
86
, pp.
346
362
.
9.
Constantinescu
,
V. N.
, 1970, “
On the Influence of Inertial Forces in Turbulent and Laminar Self-Acting Films
,”
ASME J. Lubr. Technol.
,
92
, pp.
473
480
.
10.
Constantinescu
,
V. N.
, and
Galetuse
,
S.
, 1974, “
On the Possibilities of Improving the Accuracy of the Evaluation of Inertia Forces in Laminar and Turbulent Films
,”
ASME J. Lubr. Technol.
,
96
, pp.
69
79
.
11.
Constantinescu
,
V. N.
, and
Galetuse
,
S.
, 1982, “
Operating Characteristics of Journal Bearings in Turbulent Inertial Flow
,”
ASME J. Lubr. Technol.
,
104
(
1
), pp.
173
179
.
12.
Szeri
,
A. Z.
,
Raimondi
,
A. A.
, and
Giron-Duarte
,
A.
, 1983, “
Linear Force Coefficients for Squeeze-Film Dampers
,”
ASME J. Lubr. Technol.
,
105
, pp.
326
334
.
13.
San Andrés
,
L.
, and
Vance
,
J.
, 1987, “
Effect of Fluid Inertia on Finite Length Sealed Squeeze Film Dampers
,”
ASLE Trans.
,
30
(
3
), pp.
384
393
.
14.
Reinhardt
,
E.
, and
Lund
,
J. W.
, 1975, “
The Influence of Fluid Inertia on the Dynamic Properties of Journal Bearings
,”
ASME J. Lubr. Technol.
,
97
, pp.
159
167
.
15.
Tichy
,
J.
, and
Bou-Said
,
B.
, 1991, “
Hydrodynamic Lubrication and Bearing Behavior With Impulsive Loads
,”
STLE Tribol. Trans.
,
34
, pp.
505
512
.
16.
Kakoty
,
S. K.
, and
Majumdar
,
B. C.
, 2000, “
Effect of Fluid Inertia on Stability of Oil Journal Bearings
,”
ASME J. Tribol.
,
122
, pp.
741
745
.
17.
Hashimoto
,
H.
,
Wada
,
S.
, and
Sumitomo
,
M.
, 1988, “
The Effects of Fluid Inertia Forces on the Dynamic Behavior of Short Journal Bearings in Superlaminar Flow Regime
,”
ASME J. Tribol.
,
110
(
3
), pp.
539
547
.
18.
Fritz
,
R.
, 1970, “
The Effects of an Annular Fluid on the Vibrations of a Long Rotor: Part I Theory
,”
ASME J. Basic Eng.
,
92
, pp.
923
929
.
19.
Xu
,
H.
, and
Zhu
,
J.
, 1993, “
Research of Fluid Flow and Flow Transition Criteria from Laminar to Turbulent in a Journal Bearing
,”
J. Xi’an
, Jiaotong University,
27
, pp.
7
14
.
20.
Taniguchi
,
S.
,
Makino
,
T.
,
Takeshita
,
K.
, and
Ichimura
,
T.
, 1990, “
A Thermohydrodynamic Analysis of Large Tilting-Pad Journal Bearing in Laminar and Turbulent Flow Regimes With Mixing
,”
J. Tribol.
,
122
, pp.
542
550
.
21.
Lauder
,
B. E.
, and
Leschziner
,
M. A.
, 1977, “
An Efficient Numerical Scheme for the Prediction of Turbulent Flow in Thrust Bearing
,”
Proceedings of the 1975 Leeds-Lyon Symposium Superlaminar Flow
, in Bearing, I. Mech. Eng. Publications, London, pp.
137
143
.
22.
Allaire
,
P. E.
, and
Flack
,
R. D.
, 1980, “
Journal Bearing Design for High Speed Turbomachinery, Bearing Design—Historical Aspects, Present Technology, and Future Problems
,” W. J. Anderson, ed., ASME Publication, New York, pp.
111
160
.
23.
Flack
,
R. D.
, and
Allaire
,
P. E.
, 1980, “
Instability Thresholds for Flexible Rotors in Hydrodynamic Bearings in Rotor Dynamic Instability Problems in High Performance Machines
,” Texas A&M University, May 12–14, NASA Conference Publication 2133, pp.
403
427
.
24.
Majumdar
,
B. C.
, and
Brewe
,
D. E.
, 1987, “
Stability of a Rigid Rotor Supported on Oil-Film Journal Bearings Under Dynamic Load
,” NASA Technical Memorandum 102309, AVS-COM, Technical Report No. 87-C-26, pp.
1
10
.
You do not currently have access to this content.