Abstract
The graph theory is an important method to achieve conceptual design for mechanism. During the process of kinematic structures enumeration using graph theory, isomorphism identification of graphs is an NP complete problem. It is important to improve the isomorphism identification efficiency and reliability. To solve the problem, an adaptive hybrid genetic algorithm is presented by mixing the improved genetic algorithm and local search algorithm. The crossover rate and mutation rate can be designed as adaptive parameters. Hence, the crossover rate and mutation rate can sustain the variety of the population and adjust the evolution. In the meantime, the pseudo-crossover operator is introduced to improve the search efficiency. In the last, some examples are illustrated to show the high efficiency of the algorithm by comparing with the results in other literatures.







Similar content being viewed by others
References
Galan-Marin G et al (2007) Improving neural networks for mechanism kinematic chain isomorphism identification. Neural Process Lett 26:133–143
Kong FG, Li Q, Zhang WJ (1999) An artificial neural network approach to mechanism kinematic chain isomorphism identification. Mech Mach Theory 34:271–283
Cubillo JP, Wan Jinbao (2005) Comments on mechanism kinematic chain isomorphism identification using adjacent matrices. Mech Mach Theory 40:131–139
Rao AC, Varada Raju D (1991) Application of the Hamming number technique to detect isomorphism among kinematic chains and inversions. Mech Mach Theory 26(1):55–75
Rao AC (1997) Hamming number technique: I. Further applications. Mech Mach Theory 32(4):477–488
Shende S, Rao AC (1994) Isomorphism in kinematic chains. Mech Mach Theory 29(7):1065–1070
Huafeng D, Zhen H (2007) A new theory for the topological structure analysis of kinematic chains and its applications. Mech Mach Theory 42(10):1264–1279
He PR, Zhang WJ, Li Q (2005) Some further development on the eigensystem approach for graph isomorphism detection. J Franklin Inst 342(6):657–673
Ping Y, NingBo L et al (2007) A mixed isomorphism approach for kinematic structure enumeration graphs based on intelligent design and manufacturing. Int J Adv Manuf Technol 31(9–10):841–845
Yang P, Pei Z et al (2007) Isomorphism identification for epicyclic gear mechanism based on mapping property and ant algorithm. Eng Comput 23(1):49–54
Ping Y (2008) Topological expression mode approach of satellite gear mechanism for intelligent CAD. Int J Manuf Technol Manage 14(1–2):110–117
Zeng K, Yang P, Qiu W (2008) An improved artificial immune algorithm for mechanism kinematic chain isomorphism identification. Int J Mater Struct Integrity 2(4):383–395
Yang P, Liao N (2008) Approach on complex neural-genetic algorithm modeling for isomorphism identification in conceptual design of mechanism. Int J Comput Syst Sci Eng (in press)
Acknowledgments
The authors would like to acknowledge the support of Natural Science Foundation of Gangxi Advanced Manufacturing Key Laboratory (GuiKeNeng 07109008_028_K), the support of Special Science Foundation for Middle-Young academic leader of Jiangsu high education in China (Qinglan Gongcheng Project), the Natural Science Foundation for Qualified Personnel of Jiangsu University(04JDG027)and the Science Foundation of Jiangsu Higher Education Institution(06KJD460044), the Special Natural Science Foundation for Innovative Group of Jiangsu University, Special Science Foundation for Middle-Young academic leader of Guangxi high education in China during the course of this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, P., Zeng, K. A high-performance approach on mechanism isomorphism identification based on an adaptive hybrid genetic algorithm for digital intelligent manufacturing. Engineering with Computers 25, 397–403 (2009). https://doi.org/10.1007/s00366-009-0132-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-009-0132-7