This work presents an optimization procedure to find bearing profiles that improve stability margins of rotor-bearing systems. The profile is defined by control points and cubic splines. Stability margins are estimated using bearing dynamic coefficients, and obtained solutions are analyzed as a function of the number of control points and of the Sommerfeld number at optimization. Results show the feasibility of finding shapes for the bearing that significantly improve the stability margins. Some of the obtained solutions overcome the stability margins of conventional bearings, such as the journal bearing and preloaded bearings with 0.5 and 0.67 preload. A time domain simulation of a flexible shaft rotating system supported by such bearings corroborates the results.

References

References
1.
Rohde
,
S. M.
, and
McAllister
,
G. T.
,
1976
, “
On the Optimization of Fluid Film Bearings
,”
Proc. R. Soc. London, Ser. A
,
A351
, pp.
481
497
.10.1098/rspa.1976.0153
2.
Robert
,
M. P.
,
1990
, “
Optimization of Self-Acting Gas Bearings for Maximum Static Stiffness
,”
J. Appl. Mech.
,
57
, pp.
758
761
.10.1115/1.2897088
3.
Gad
,
A. M.
,
Nemat-Alla
,
M. M.
,
Khalil
,
A. A.
, and
Nasr
,
A. M.
,
2006
, “
On the Optimum Groove Geometry for Herringbone Grooved Journal Bearings
,”
J. Tribol.
,
128
, pp.
585
593
.10.1115/1.2197524
4.
Hashimoto
,
H.
, and
Ochiai
,
M.
,
2008
, “
Optimization of Grooved Geometry for Thrust Air Bearing to Maximize Bearing Stiffness
,”
J. Tribol.
,
130
, pp.
0311011
03110111
.10.1115/1.2913546
5.
Song
,
J.-D.
,
Yang
,
B.-S.
,
Choi
,
B.-G.
, and
Kim
,
H.-J.
,
2005
, “
Optimum Design of Short Journal Bearings by Enhanced Artificial Life Optimization Algorithm
,”
Tribol. Int.
,
38
, pp.
403
432
.10.1016/j.triboint.2003.10.008
6.
Hirani
,
H.
, and
Suh
,
N. P.
,
2005
, “
Journal Bearing Design Using Multiobjective Genetic Algorithm and Axiomatic Design Approaches
,”
Tribol. Int.
,
38
, pp.
481
491
.10.1016/j.triboint.2004.10.008
7.
Nikolakopoulos
,
P. G.
,
Papadopoulos
,
C. I.
, and
Kaiktsis
,
L.
,
2011
, “
Elastohydrodynamic Analysis and Pareto Optimization of Intact, Worn and Misaligned Journal Bearings
,”
Meccanica
,
46
, pp.
577
588
.10.1007/s11012-010-9319-7
8.
Hirayama
,
T.
,
Yamagushi
,
N.
,
Sakai
,
S.
,
Hishida
,
N.
,
Matsuoka
,
T.
, and
Yabe
,
H.
,
2008
, “
Optimization of Groove Dimensions in Herringbone-Grooved Journal Bearings for Improved Repeatable Run-out Characteristics
,”
Tribol. Int.
,
42
, pp.
675
681
.10.1016/j.triboint.2008.09.006
9.
Matsuda
,
K.
,
Kanemitsu
,
Y.
, and
Kijimoto
,
S.
,
2004
, “
Optimal Clearance Configuration of Fluid-Film Journal Bearings for Stability Improvement
,”
J. Tribol.
,
126
, pp.
125
131
.10.1115/1.1631018
10.
Lund
,
J. W.
,
1987
, “
Review of the Concept of Dynamic Coefficients for Fluid Film Journal Bearings
,”
J. Tribol.
,
109
, pp.
37
41
.10.1115/1.3261324
11.
Nicoletti
,
R.
,
1999
, “
Efeitos Térmicos em Mancais Segmentados Híbridos—Teoria e Experimento
” (Thermal Effects in Hybrid Tilting-Pad Bearings—Theory and Experiment), M.Sc. dissertation, Universidade Estadual de Campinas, Campinas, http://libdigi.unicamp.br/document/?code=vtls000183857.
12.
Someya
,
T.
,
1989
,
Journal-Bearing Databook
,
Springer-Verlag
,
Berlin
.
13.
de Boor
,
C.
,
1978
,
A Practical Guide to Splines
,
Springer-Verlag
,
New York
.
14.
Arora
,
J. S.
,
1989
,
Introduction to Optimum Design
,
McGraw-Hill
,
New York
.
15.
Powell
,
M. J. D.
,
1978
, “
A Fast Algorithm for Nonlinear Constrained Optimization Calculations
,”
Lecture Notes in Mathematics, Numerical Analysis
,
Vol. 630
,
G. A.
Watson
, ed.,
Springer Verlag
,
NY
.
16.
Gill
,
P. E.
,
Murray
,
W.
,
Saunders
,
M. A.
, and
Wright
,
M. H.
,
1984
, “
Procedures for Optimization Problems With a Mixture of Bounds and General Linear Constraints
,”
ACM Trans. Mathematical Software
,
10
, pp.
282
298
.10.1145/1271.1276
17.
Gill
,
P. E.
,
Murray
,
W.
, and
Wright
,
M. H.
,
1991
,
Numerical Linear Algebra and Optimization
,
Addison-Wesley
,
New York
.
18.
Han
,
S. P.
,
1977
, “
A Globally Convergent Method for Nonlinear Programming
,”
J. Optimiz. Theory Appl.
,
22
, pp.
297
309
.10.1007/BF00932858
19.
MathWorks
,
2011
,
Optimization Toolbox User's Guide R2011b
,
The MathWorks Inc.
,
Natick
.
20.
Reinhardt
,
E.
, and
Lund
,
J. W.
,
1975
, “
The Influence of Fluid Inertia on the Dynamic Properties of Journal Bearings
,”
J. Lubrication Technol.
,
97
, pp.
159
167
.10.1115/1.3452546
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