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Article

Isomorphism Identification of Kinematic Chains Using Novel Evolutionary Approaches

[+] Author and Article Information
Renbin Xiao, Zhenwu Tao, Yong Liu

CAD Center, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, People’s Republic of China

J. Comput. Inf. Sci. Eng 5(1), 18-24 (Mar 14, 2005) (7 pages) doi:10.1115/1.1846057 History: Received January 17, 2004; Revised November 08, 2004; Online March 14, 2005
Copyright © 2005 by ASME
Topics: Algorithms , Chain
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References

Zhang, W. J., 1991, “An Object-Oriented Mechanism Definition and Description With a Genetic Mechanism Model,” Technical Report No. BM-1.91, TU Delft, The Netherlands.
Zhang,  W. J., and Breteler,  A. J., 1996, “An Approach to Mechanism Topology Identification With Consideration of Design Progression,” J. Mech. Eng. Sci., 211(3), pp. 175–183.
Shin,  J. K., and Krishnamurty,  S., 1994, “On Identification and Canonical Numbering of Pin-Jointed Kinematic Chains,” ASME J. Mech. Des., 116(1), pp. 182–188.
Kobler, J., Schoning, U. J., and Toran, J., 1993, The Graph Isomorphism Problems: Its Structural Complexity, Birkhauser, Boston.
Tischler,  C. R., Samual,  A. E., and Hunt,  K. H., 1995, “Kinematic Chain for Robot Hands—1. Orderly Number-Synthesis,” Mech. Mach. Theory, 30(8), pp. 1193–1215.
Davis, L., 1991, Handbook of Genetic Algorithms, Van Nostrand Reinbold, New York.
Zhou, J., Cha, J. Z., and Xiao, R. B., 1998, Intelligent Design, Higher Education Press, Beijing (in Chinese).
Bonabeau,  E., Dorigo,  M., and Theraulaz,  G., 2000, “Inspiration for Optimization From Social Insect Behavior,” Nature (London), 6, pp. 39–42.
Xiao,  R. B., and Wang,  L., 2002, “Artificial Immune System: Principle, Models, Analysis and Perspectives,” Chin. J. Comput.,25(12), pp. 1281–1293.
Dobrjanskyi,  L., and Freudenstein,  F., 1989, “Some Applications of Group Theory to the Enumeration and Structural Analysis of Basic Kinematic Chains,” ASME J. Mech., Transm., Autom. Des., 111, pp. 494–497.
Wilson, R., 1972, Introduction to Graph Theory, 3rd ed., Longman, London.
Gambardella, L. M., and Dorigo, M., 1996, “Solving Symmetric and Asymmetric TSPs by Ant Colony,” Proceedings of the IEEE Conference on Evolution Computation, IEEE Press, New York, pp. 622–627.
Dorigo,  M., and Gambardella,  L. M., 1997, “Ant Colony System: a Cooperative Learning Approach to Traveling Salesman Problem,” IEEE Trans. Evol. Comput., 1(1), pp. 73–81.
Xiao, R. B., and Tao, Z. W., 2003, “Co-Evolutionary Ant Algorithm and Application in Multi-Objective Optimization Problems,” ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, ASME, Chicago, IL, DETC2003/CIE-48258.
Dorigo,  M., Bonabeau,  E., and Theraulaz,  G., 2000, “Ant Algorithms and Stigmergy,” Future Generation Comput. Syst.,16, pp. 851–871.
Xiao, R. B., He, J. H., Chang, M., and Shi, H. M., 2001, “An Ant Algorithm Approach to the Isomorphism Identification of Mechanism Kinematic Chains,” ASME 2001 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, ASME, Pittsburgh, PA, DETC2001/CIE21674.
Endoh, S., Toma, N., and Yamada, K., 1998, “Immune Algorithm for n-TSP,” Proc. of 1998 IEEE International Conference on Systems, Man, and Cybernetics, San Diego, CA, pp. 3844–3849.
Chun,  J. S., Kim,  M. K., and Jung,  H. K., 1997, “Shape Optimization of Electromagnetic Devices Using Immune Algorithm,” IEEE Trans. Magn., 33(2), pp. 1876–1879.
Huang,  S. J., 2000, “An Immune Based Optimization Method to Capacitor Placement in a Radial Distribution System,” IEEE Trans. Power Deliv., 15(2), pp. 744–749.
Xiao, R. B., Wang, L., and Fan, Z., 2002, “An Artificial Immune System Based Isomorphism Identification Method for Mechanism Kinematic Chains,” ASME 2002 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, ASME, Montreal, Canada, DETC2002/DAC-34063.
Mruthyunjaya,  T. S., and Balasubramanzan,  H. R., 1987, “In Quest of a Reliable and Efficient Computational Test for Detection of Isomorphism in Kinematic Chains,” Mech. Mach. Theory, 22(2), pp. 131–140.
Grefenstette, J., Gopal, R., and Gucht, D. V., 1985, “Genetic Algorithms for the Traveling Salesman Problem,” Proc. of 1st Int. Conf. On Genetic Algorithms and Their Applications, Law Erlbaum, Hillsdale, NJ, pp. 160–168.

Figures

Grahic Jump Location
Line graph of the kinematic chain in Fig. 1
Grahic Jump Location
Three kinematic chains with 10 bars

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