The objective of design optimization is to determine the design that minimizes the objective function by changing design variables and satisfying design constraints. During multi-objective optimization, which has been widely applied to improve bearing designs, designers must consider several design criteria or objective functions simultaneously. The particle swarm optimization (PSO) method is known for its simple implementation and high efficiency in solving multifactor but single-objective optimization problems. This paper introduces a new multi-objective algorithm (MOA) based on the PSO and Pareto methods that can greatly reduce the number of objective function calls when a suitable swarm size is set.
Issue Section:
Applications
References
1.
Deb
, K.
, 2001
, Multi-Objective Optimization Using Evolutionary Algorithms
, Wiley
, West Sussex
, UK.2.
Coello Coello
, C. A.
, Van Veldhuizen
, D. A.
, and Lamont
, G. B.
, 2007
, Evolutionary Algorithms for Solving Multi-Objective Problems
, 2nd ed., Springer
, New York
.3.
Knowles
, J.
, Corne
, D.
, and Deb
, K.
, 2007
, Multi-Objective Problem Solving From Nature: From Concepts to Applications
, Springer-Verlag
, Berlin
, Germany.4.
Hirani
, H.
, 2004
, “Multi-Objective Optimization of a Journal Bearing Using the Pareto Optimality Concept
,” Proc. Inst. Mech. Eng., Part J
, 218
(4
), pp. 323
–336
.10.1243/13506500417626685.
Hirani
, H.
, and Suh
, N. P.
, 2005
, “Journal Bearing Design Using Multi-Objective Genetic Algorithm and Axiomatic Design Approaches
,” Tribol. Int.
, 38
(5
), pp. 481
–491
.10.1016/j.triboint.2004.10.0086.
Wang
, N.
, and Chang
, Y.-Z.
, 2004
, “Application of the Genetic Algorithm to the Multi-Objective Optimization of Air Bearings
,” Tribol. Lett.
, 17
(2
), pp. 119
–128
.10.1023/B:TRIL.0000032436.09396.d47.
Wang
, N.
, and Cha
, K.-C.
, 2010
, “Multi-Objective Optimization of Air Bearing Using Hypercube-Dividing Method
,” Tribol. Int.
, 43
(9
), pp. 1631
–1638
.10.1016/j.triboint.2010.03.0098.
Coello Coello
, C. A.
, Pulido
, G. T.
, and Lechuga
, M. S.
, 2004
, “Handling Multiple Objectives With Particle Swarm Optimization
,” Evol. Comput., IEE
, 8
(3
), pp. 256
–279
.10.1109/TEVC.2004.8260679.
Cagnina
, L.
, Esquivel
, S. C.
, and Coello Coello
, C.
, 2005
, “A Particle Swarm Optimizer for Multi-Objective Optimization
,” J. Comput. Sci. Technol.
, 5
(4
), pp. 204
–210
.10.
Reyes-Sierra
, M.
, and Coello Coello
, C. A.
, 2006
, “Multi-Objective Particle Swarm Optimizers: A Survey of the State-of-the-Art
,” Int. J. Comput. Intell. Res.
, 2
(3
), pp. 287
–308
.11.
Elhossini
, A.
, Areibi
, S.
, and Dony
, R.
, 2010
, “Strength Pareto Particle Swarm Optimization and Hybrid EA-PSO for Multi-Objective Optimization
,” Evol. Comput.
, 18
(1
), pp. 127
–156
.10.1162/evco.2010.18.1.1810512.
Kennedy
, J.
, and Eberhart
, R.
, 1995
, “Particle Swarm Optimization
,” Proceedings of the IEEE
International Conference on Neural Networks
, Perth, WA
, Nov. 27–Dec. 1, Vol. 4
, pp. 1942
–1984
.10.1109/ICNN.1995.48896813.
Kennedy
, J.
, and Eberhart
, R. C.
, 2001
, Swarm Intelligence
, Morgan Kaufmann
, San Francisco, CA
.14.
Arora
, J. S.
, 2012
, Introduction to Optimum Design
, Academic
, Cambridge, MA
.15.
Wang
, N.
, Huang
, H.-C.
, and Hsu
, C.-R.
, 2013
, “Parallel Optimization Design of Foil Bearing Using Particle Swarm Optimization Method
,” Tribol. Trans.
, 56
(3
), pp. 453
–460
.10.1080/10402004.2012.75833416.
Chang
, S.-H.
, and Jeng
, Y.-R.
, 2013
, “A Modified Particle Swarm Optimization Algorithm for the Design of a Double-Pad Aerostatic Bearing With a Pocketed Orifice-Type Restrictor
,” ASME J. Tribol.
, 136
(2
), p. 021701
.10.1115/1.402606117.
He
, S.
, Prempain
, E.
, and Wu
, Q. H.
, 2004
, “An Improved Particle Swarm Optimizer for Mechanical Design Optimization Problems
,” Eng. Optim.
, 36
(5
), pp. 585
–605
.10.1080/0305215041000170485418.
Kim
, I. Y.
, and de Weck
, O. L.
, 2005
, “Adaptive Weighted-Sum Method for Bi-Objective Optimization: Pareto Front Generation
,” Struct. Multidiscip. Optim.
, 29
(2
), pp. 149
–158
.10.1007/s00158-004-0465-119.
Chan
, C.-W.
, Han
, Y.-F.
, Wang
, Z.
, Wang
, J.
, Shi
, F.
, Wang
, N.
, and Wang
, Q. J.
, 2014
, “Exploration on a Fast EHL Computing Technology for Analyzing Journal Bearings With Engineered Surface Textures
,” Tribol. Trans.
, 57
(2
), pp. 206
–215
.10.1080/10402004.2013.86398720.
Wang
, N.
, Chang
, S.-H.
, and Huang
, H.-C.
, 2010
, “Stopping Criterion in Iterative Solution Methods for Reynolds Equations
,” Tribol. Trans.
, 53
(5
), pp. 739
–747
.10.1080/1040200100375335821.
Solcum
, A. H.
, 1992
, Precision Machine Design
, Prentice-Hall
, Englewood Cliffs, NJ
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