Articles | Volume 13, issue 1
https://doi.org/10.5194/ms-13-371-2022
https://doi.org/10.5194/ms-13-371-2022
Research article
 | 
25 Apr 2022
Research article |  | 25 Apr 2022

Novel loop tree for the similarity recognition of kinematic chains

Lei Wang, Liang Sun, Rongjiang Cui, Yadan Xu, Gaohong Yu, and Chuanyu Wu

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Cited articles

Ambekar, A. G. and Agrawal, V. P.: Canonical numbering of kinematic chains and isomorphism problem: min code, Mech. Mach. Theory, 22, 453–461, 1987. 
Cubillo, J. P. and Wan, J.: Comments on mechanism kinematic chain isomorphism identification using adjacent matrices, Mech. Mach. Theory, 40, 131–139, 2005. 
Dharanipragada, V., and Chintada, M.: Split Hamming String as an Isomorphism Test for One Degree-of-Freedom Planar Simple-Jointed Kinematic Chains Containing Sliders, J. Mech. Design, 138, 082301, https://doi.org/10.1115/1.4033611, 2016. 
Freudenstein, F.: The basic concepts of Polya's theory of enumeration, with application to the structural classification of mechanisms, J. Mechanisms, 2, 275–290, 1967. 
Harary, F. and Palmer, E. M.: On similar points of a graph, J. Math. Mech., 15, 623–630, 1966. 
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Short summary
Similarity recognition of kinematic chains (KCs) is an important part of the mechanism innovation design, which can avoid isomorphism in the synthesis process and reduce the generation of redundant design schemes. In this paper, the new concepts of a loop tree (LT) and a loop tree matrix (LTM) have been proposed, which improve the efficiency of similarity recognition.