Abstract

Journal bearing reaction is usually represented by a set of forces and moments concentrated at a single point. This single point support model cannot be utilized to describe the behavior of fairly long bearing. This technical brief proposes a multiple nodes model for the long bearing considering the distributed characteristics of bearing reaction and the effect of shaft deformation. The static behaviors of a rotor-bearing case with the proposed multiple nodes model are compared with those of the other three typical models. The result shows that the proposed multiple nodes model is practical for the analysis of the rotor system with a fairly long bearing, and the distributed effect of bearing reaction should be considered when the ratio of bearing length to the half of rotor length exceeds 0.2.

References

1.
Lund
,
J. W.
,
1974
, “
Stability and Damped Critical Speeds of a Flexible Rotor in Fluid-Film Bearings
,”
ASME J. Eng. Ind.
,
96
(
2
), pp.
509
517
.
2.
Lund
,
J. W.
, and
Thomsen
,
K. K.
,
1978
, “
A Calculation Method and Data for the Dynamic Coefficients of Oil-Lubricated Journal Bearings
,”
Topics in Fluid Film Bearing and Rotor Bearing System Design and Optimization, Presented at Design Engineering Conference
,
Chicago, IL
,
Apr. 17–20
, pp.
1
28
.
3.
Sfyris
,
D.
, and
Chasalevris
,
A.
,
2012
, “
An Exact Analytical Solution of the Reynolds Equation for the Finite Journal Bearing Lubrication
,”
Tribol. Int.
,
55
, pp.
46
58
.
4.
Chasalevris
,
A.
, and
Sfyris
,
D.
,
2013
, “
Evaluation of the Finite Journal Bearing Characteristics, Using the Exact Analytical Solution of the Reynolds Equation
,”
Tribol. Int.
,
57
, pp.
216
234
.
5.
Sun
,
J.
, and
Changlin
,
G.
,
2004
, “
Hydrodynamic Lubrication Analysis of Journal Bearing Considering Misalignment Caused by Shaft Deformation
,”
Tribol. Int.
,
37
(
10
), pp.
841
848
.
6.
Lv
,
F.
,
Ta
,
N.
, and
Rao
,
Z.
,
2017
, “
Analysis of Equivalent Supporting Point Location and Carrying Capacity of Misaligned Journal Bearing
,”
Tribol. Int.
,
116
, pp.
26
38
.
7.
Mukherjee
,
A.
, and
Rao
,
J. S.
,
1977
, “
Stiffness and Damping Coefficients of an Inclined Journal Bearing
,”
Mech. Mach. Theory
,
12
(
4
), pp.
339
355
.
8.
Jakeman
,
R. W.
,
1986
, “
Performance and Oil Film Dynamic Coefficients of a Misaligned Sterntube Bearing
,”
ASLE Trans.
,
29
(
4
), pp.
441
450
.
9.
Jang
,
G. H.
, and
Kim
,
Y. J.
,
1999
, “
Calculation of Dynamic Coefficients in a Hydrodynamic Bearing Considering Five Degrees of Freedom for a General Rotor-Bearing System
,”
ASME J. Tribol.
,
121
(
3
), pp.
499
505
.
10.
Zachariadis
,
D. C.
,
2002
, “
Unbalance Response of Rotors Supported on Hydrodynamic Bearings Placed Close to Nodal Points of Excited Vibration Modes
,”
ASME J. Eng. Gas Turbine Power
,
128
(
3
), pp.
661
669
.
11.
Kim
,
M.
,
Jang
,
G.
, and
Kim
,
H.
,
2010
, “
Stability Analysis of a Disk-Spindle System Supported by Coupled Journal and Thrust Bearings Considering Five Degrees of Freedom
,”
Tribol. Int.
,
43
(
8
), pp.
1479
1490
.
12.
Schiffmann
,
J.
, and
Favrat
,
D.
,
2010
, “
Integrated Design and Optimization of Gas Bearing Supported Rotors
,”
ASME J. Mech. Des.
,
132
(
5
), p.
051007
.
13.
Xu
,
C.
, and
Jiang
,
S.
,
2015
, “
Dynamic Analysis of a Motorized Spindle With Externally Pressurized Air Bearings
,”
ASME J. Vib. Acoust.
,
137
(
4
), p.
041001
.
14.
Craggs
,
A.
,
1993
, “
Effect of Distributed Bearing Stiffness on the Critical Speeds of Shafts
,”
J. Sound Vib.
,
160
(
3
), pp.
559
565
.
15.
Taylor
,
A. G.
, and
Craggs
,
A.
,
1994
, “
A Finite Element Model for a Flexible Non-Symmetric Rotor on Distributed Bearing: A Stability Study
,”
J. Sound Vib.
,
173
(
1
), pp.
1
21
.
16.
Rao
,
B. S.
,
Sekhar
,
A. S.
, and
Majumdar
,
B. C.
,
1996
, “
Analysis of Rotors Considering Distributed Bearing Stiffness and Damping
,”
Comput. Struct.
,
61
(
5
), pp.
951
955
.
17.
Sekhar
,
A. S.
, and
Prabhu
,
B. S.
,
1994
, “
Unbalance Response of Rotors Considering the Distributed Bearing Stiffness and Damping
,”
Proceedings of the International Gas Turbine and Aeroengine Congress and Exposition
,
Hague, The Netherlands
,
June 13–16
, pp.
1
6
.
18.
Liu
,
S.
, and
Yang
,
B.
,
2015
, “
A New Model of Water-Lubricated Rubber Bearings for Vibration Analysis of Flexible Multistage Rotor Systems
,”
J. Sound Vib.
,
349
, pp.
230
258
.
19.
Liu
,
S.
, and
Yang
,
B.
,
2017
, “
Vibrations of Flexible Multistage Rotor Systems Supported by Water-Lubricated Rubber Bearings
,”
ASME J. Vib. Acoust.
,
139
(
2
), p.
021016
.
20.
Constantinescu
,
V. N.
, and
Galetuse
,
S.
,
1982
, “
Operating Characteristics of Journal Bearings in Turbulent Inertial Flow
,”
ASME J. Lubr. Technol.
,
104
(
2
), pp.
173
179
.
21.
Friswell
,
M. I.
,
Penny
,
J. E.
,
Garvey
,
S. D.
, and
Lees
,
A. W.
,
2010
,
Dynamics of Rotating Machines
,
Cambridge University Press
,
New York
.
You do not currently have access to this content.