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

Related authors

Motion generation of a planar 3R serial chain based on conformal geometric algebra with applications to planar linkages
Lei Wang, Gaohong Yu, Liang Sun, Yuzhu Zhou, and Chuanyu Wu
Mech. Sci., 13, 275–290, https://doi.org/10.5194/ms-13-275-2022,https://doi.org/10.5194/ms-13-275-2022, 2022
Short summary

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Synthesis
The evolution and restoration of European vertically arranged mechanical turret clocks before the 17th century
Tsung-Yi Lin and Wen-Feng Lin
Mech. Sci., 13, 933–948, https://doi.org/10.5194/ms-13-933-2022,https://doi.org/10.5194/ms-13-933-2022, 2022
Short summary
Evolution and mechanism configuration synthesis of chamber clocks movement prior to 1700
Tsung-Yi Lin and Wen-Feng Lin
Mech. Sci., 13, 877–897, https://doi.org/10.5194/ms-13-877-2022,https://doi.org/10.5194/ms-13-877-2022, 2022
Short summary
Structural analysis of traditional Chinese blocked-keyhole padlocks
Yang Zhang, Hsin-Te Wang, Jian-Liang Lin, Chin-Fei Huang, and Kuo-Hung Hsiao
Mech. Sci., 13, 791–802, https://doi.org/10.5194/ms-13-791-2022,https://doi.org/10.5194/ms-13-791-2022, 2022
Short summary
TGA-based solutions map method for four-position synthesis of planar 4R linkage
Yehui Zhao, Lijun Xue, Guangming Wang, Fanglei Zou, Yue Song, and Hongjian Zhang
Mech. Sci., 13, 771–790, https://doi.org/10.5194/ms-13-771-2022,https://doi.org/10.5194/ms-13-771-2022, 2022
Short summary
An innovative device for enlarging the allowable misalignment for screwing tasks
Hao-Tien Ku and Yu-Hsun Chen
Mech. Sci., 13, 701–712, https://doi.org/10.5194/ms-13-701-2022,https://doi.org/10.5194/ms-13-701-2022, 2022
Short summary

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. 
Download
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.