Multidimensional Clustering Interpretation and Its Application to Optimization of Coolant Passages of a Turbine Blade

[+] Author and Article Information
Min Joong Jeong

Computational Biology Research Center, National Institute of Advanced Industrial Science and Technology, 2-43 Aomi Koto-ku, Tokyo 135-0064, Japane-mail: jeong-minjoong@aist.go.jp

Brian H. Dennis, Shinobu Yoshimura

Institute of Environmental Studies, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

J. Mech. Des 127(2), 215-221 (Mar 25, 2005) (7 pages) doi:10.1115/1.1830047 History: Received April 24, 2003; Revised June 11, 2004; Online March 25, 2005
Copyright © 2005 by ASME
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Yoshimura,  M., and Izui,  K., 2004, “Hierarchical Parallel Processes of Genetic Algorithms for Design Optimization of Large-scale Products,” J. Mech. Des., 126(2), pp. 217–224.
Grignon,  P. M., and Fadel,  G. M., 2004, “A GA Based Configuration Design Optimization Method,” J. Mech. Des., 126(1), pp. 6–15.
Deb,  K., and Jain,  S., 2003, “Multi-Speed Gearbox Design Using Multi-Objective Evolutionary Algorithms,” J. Mech. Des., 125(3), pp. 609–619.
Tappeta,  R. V., and Renaud,  J. E., 2001, “Interactive Multiobjective Optimization Design Strategy for Decision Based Design,” J. Mech. Des., 123(2), pp. 205–215.
Meng,  Z., and Pao,  Y. H., 2000, “Visualization and Self-Organization of Multidimensional Data Through Equalized Orthogonal Mapping,” IEEE Trans. Neural Netw., 11(4), pp. 1031–1038.
Jain, A. K., and Dubes, R. C., 1989, Algorithms for Clustering Data, Prentice-Hall, Englewood Cliffs, NJ.
Mirkin, B., 1996, Mathematical Classiffication and Clustering, Kluwer, Dordrecht.
Kohonen,  T., 1988, “The Neural Phonetic Typewriter,” IEEE Trans. Comput., 21(3), pp. 11–12.
Kohonen, T., 1989, Self-Organization and Associative Memory, Springer-Verlag, Berlin.
Fukunaga,  K., and Koonts,  W. L. G., 1970, “Application of the Karhunen-Loève Expansion to Feature Selection and Ordering,” IEEE Trans. Comput., 19(C), pp. 311–318.
Oja,  E., 1982, “A Simplified Neuron Model as a Principal Component Analyzer,” J. Math. Biol., 15(3), pp. 267–273.
Sanger,  T. D., 1989, “Optimal Unsupervised Learning in a Single-layer Feedforward Neural Network,” Neural Networks, 2(6), pp. 459–465.
Kramer,  M. A., 1991, “Nonlinear Principal Component Analysis Using Autoassociative Feedforward Neural Networks,” AIChE J., 37(2), pp. 233–243.
Pao,  Y. H., 1996, “Dimension Reduction, Feature Extraction and Interpretation of Data with Network Computing,” Int. J. Pattern Recognit. Artif. Intell., 1(5), pp. 521–535.
Sammon,  J. W., 1969, “A Nonlinear Mapping for Data Structure Analysis,” IEEE Trans. Comput., 18(5), pp. 401–409.
Mao,  J., and Jain,  A. K., 1995, “Artifficial Neural Networks for Feature Extraction and Multivariate Data Projection,” IEEE Trans. Neural Netw., 6(1), pp. 296–317.
Nomoto,  H., Koga,  A., Ito,  S., Fukuyama,  Y., Otomo,  F., Shibuya,  S., Sato,  M., Kobayashi,  Y., and Matsuzaki,  H., 1997, “The Advanced Cooling Technology for the 1500C Class Gas Turbine: Steam-Cooled Vanes and Aircooled Blades,” ASME J. Eng. Gas Turbines Power, 119(3), pp. 624–632.
Dennis,  B. H., Egorov,  I. N., Han,  Z.-X., Dulikravich,  G. S., and Poloni,  C., 2001, “Multi-Objective Optimization of Turbomachinery Cascades for Minimum Loss, Maximum Loading, and Maximum Gap-to-Chord Ratio,” Int. J. Turbo Jet-Engines, 18(3), pp. 201–210.
Shewchuk, J. R., 1996, “Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator,” Proc. of the 1st Workshop on Applied Computational Geometry, Philadelphia, Springer-Verlag, Berlin, pp. 124–133.
Dennis, B. H., Egorov, I. N., Dulikravich, G. S., and Yoshimura, S., 2003, “Optimization of a Large Number of Coolant Passages Located Close to the Surface of a Turbine Blade,” Proc. of Turbo Expo 2003, Atlanta, ASME, New York, ASME Paper No. GT2003-38051.
Egorov, I. N., 1998, “Indirect Optimization Method on the Basis of Self-Organization,” Curtin University of Technology, Perth, Australia, Optimization Techniques and Applications (ICOTA’98), Springer-Verlag, Berlin, Vol. 2, pp. 683–691.
Dennis,  B. H., Han,  Z.-X., and Dulikravich,  G. S., 2001, “Optimization of Turbomachinery Airfoils With a Genetic/Sequential Quadratic Programming Algorithm,” J. Propul. Power, 17(5), pp. 112–1128.
Höppner, F., Klawonn, F., Kruse, R., and Runkler, T., 1999, Fuzzy Cluster Analysis, Wiley, West Sussex, England.
Baraldi,  A., and Blonda,  P., 1999, “A Survey of Fuzzy Clustering Algorithms for Pattern Recognition, Part I,” IEEE Trans. Syst. Man Cybern., 29(6), pp. 778–786.
Pedrycz,  W., and Walwtzky,  J., 1997, “Fuzzy Clustering With Partial Supervision,” IEEE Trans. Syst. Man Cybern., 27(5), pp. 787–795.
Chinrungrueng,  C., and Sequin,  C. H., 1995, “Optimal Adaptive K-Means Algorithm With Dynamic Adjustment of Learning Rate,” Immunobiology, 6(1), pp. 157–169.
Krishna,  K., and Murty,  M. N., 1999, “Genetic K-Means Algorithm,” IEEE Trans. Syst. Man Cybern., 29(3), pp. 433–439.
Cowgill,  M. C., and Harvey,  R. J., 1999, “A Genetic Algorithm Approach to Cluster Analysis,” Int. J. Comput. Math. Appl., 37(7), pp. 99–108.
Nascimento, S., and Moura-Pires, F., 1997, “A Genetic Approach to Fuzzy Clustering With a Validity Measure Fitness Function,” Advances in Intelligent Data Analysis, IDA-97, LNCS 1280, Springer-Verlag, Berlin, pp. 325–335.
Turhan, M., 1997, “Genetic Fuzzy Clustering by Means of Discovering Membership Functions,” Advances in Intelligent Data Analysis, IDA-97, LNCS 1280, Springer-Verlag, Berlin, pp. 383–393.
Babu,  G. P., and Murty,  M. N., 1994, “Clustering With Evolution Strategies,” Pattern Recogn., 27(14), pp. 321–329.
Bäck, T., 1996, Evolution Algorithms in Theory and Practice, Oxford University Press, New York.
Goldberg, D. E., 1989, Genetic Algorithms in Search Optimization and Machine Learning, Addison-Wesley, Reading, MA.
Jeong, M. J., and Yoshimura, S., 2002, “An Evolutionary Clustering Approach to Pareto Solutions in Multiobjective Optimization,” Proc. of 28th Design Automation Conference: ASME Design Engineering Technical Conferences, Montreal, ASME, New York, ASME Paper No. DETC2002/DAC-34048.
Jeong, M. J., 2003, Integrated Support System for Decision-Making in Design Optimization, Ph.D. thesis, Institute of Environmental Studies, University of Tokyo.
Davies,  D. L., and Bouldin,  D. W., 1979, “A Cluster Separation Measure,” IEEE Trans. Pattern Anal. Mach. Intell., 1(4), pp. 224–227.
Chen,  J. X., and Wang,  S., 2001, “Data Visualization: Parallel Coordinates and Dimension Reduction,” Comput. Sci. Eng., 6(5), pp. 110–113.
Inselberg,  A., 2002, “Visualization and Data Mining of High-Dimensional Data,” Chemom. Intell. Lab. Syst., 60(1–2), pp. 147–159.


Grahic Jump Location
Region where coolant passage centers are allowed
Grahic Jump Location
Temperature distribution for initial design and the optimized best design for initially 30-passage case
Grahic Jump Location
Clustering function value versus cluster number
Grahic Jump Location
DB Index versus cluster number
Grahic Jump Location
Eigenvalue on dimension number
Grahic Jump Location
Two-dimensional representation of 90-dimensional five clusters
Grahic Jump Location
Optimization function value with two-dimensional parameter value
Grahic Jump Location
Cooling passages of each cluster
Grahic Jump Location
Two subclusters of cluster 1




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