Articles | Volume 12, issue 2
Mech. Sci., 12, 1061–1071, 2021
https://doi.org/10.5194/ms-12-1061-2021
Mech. Sci., 12, 1061–1071, 2021
https://doi.org/10.5194/ms-12-1061-2021
Research article
30 Nov 2021
Research article | 30 Nov 2021

Structural synthesis of plane kinematic chain inversions without detecting isomorphism

Jinxi Chen et al.

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Cited articles

Al-Dweiri, A. F., Dweiri, F. T., and Ashour, O. M.: A novice-centered decision-support system for type synthesis of function-generation mechanisms, Mech. Mach. Theory., 45, 1252–1268, https://doi.org/10.1016/j.mechmachtheory.2010.04.006, 2010. 
Butcher, E. A. and Hartman, C.: Efficient enumeration and hierarchical classification of planar simple-jointed kinematic chains: Application to 12-and 14-bar single degree-of-freedom chains, Mech. Mach. Theory., 40, 1030–1050, https://doi.org/10.1016/j.mechmachtheory.2004.12.015, 2005. 
Chu, J. K. and Cao, W. Q.: Identification of isomorphism among kinematic chains and inversions using link's adjacent chain table, Mech. Mach. Theory., 29, 53–58, https://doi.org/10.1016/0094-114X(94)90019-1, 1994. 
Dargar, A., Hasan, A., and Khan, R. A.: Some new codes for isomorphism identification among kinematic chains and their inversions, Int. J. Mech. Rob. Syst., 1, 49–67, https://doi.org/10.1504/IJMRS.2013.051290, 2013. 
Ding, H. F. and Huang, Z.: The establishment of the canonical perimeter topological graph of kinematic chains and isomorphism identification, J. Mech. Des.-T. ASME, 129, 915–923, https://doi.org/10.3184/030823402103172338, 2007. 
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Short summary
In the early stage of the creative design of mechanisms, design work was accomplished mainly based on researchers' experience and inspiration, resulting in a low design efficiency. Moreover, the derived mechanism configurations were very limited. An effective mechanism design method is based on the atlas of topological structures of kinematic chains. Our research on the structural synthesis of kinematic chain inversions plays an important role in the improvement of mechanism design efficiency.