Research on Kinematic Chain Isomorphism Identification Method Based on the Standardization Adjacent Matrix

Abstract:

In order to solve a baffling problem of kinematic chain isomorphism identification, proceeded from the isomorphism’s principles of graph theory, a new method for detecting isomorphism among planar kinematic chains using the standardization adjacent matrix is presented in this paper. The general course of adjacent matrix standardization processing and numbering principle of node are introduced, the implementation of this new method is illustrated with an example, it is showed that this new method can be accurately and effectively performed.

• Periodical: Applied Mechanics and Materials (Volume 43)
• Pages: 514-518
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.43.514
• Online since: December 2010
• Authors: Mao Zhong Ge, Jian Yun Xiang, Yong Kang Zhang
• Keywords: Graph Theory, Isomorphism Identification, Kinematic Chain, Standardization Adjacent Matrix

References

[1] Yan Hongshen. Mechanical installation creative design. Yao Yan'an, translation. Beijing: Mechanical Industrial Press, (2002).

[2] Johnson. Mechanical design synthesis-creative design and optimization. Lu Guoxian, translation. Beijing: Mechanical Industrial Press, (1987).

[3] Yan H S, Hall A S. Linkage characteristic polynomials: definition, coefficients by inspection. J. Mech. Des., ASME Trans, 1981, 103(3): 578-584.

DOI: 10.1115/1.3254957

[4] J.P. Cubillo J.B. Wan: Mech. Mach. Theory. 2005, 40(2): 131-139.

[5] Gloria G M，Enrique M C, Domingo L R: Neura Processing Letters. 2007, 26: 133-143.

[6] Li Zuta, Tong Shuiguang: Mechanical Science and Technology. 1999, Vol 18(1), 75-77.

[7] DING Ling, LU Yi. Character : Journal of Mechanical Engineering. 2010, Vol 46(7), 63-67.