Author:
Chen Jinxi,Ding Jiejin,Hong Weiwei,Cui Rongjiang
Abstract
Abstract. A plane kinematic chain inversion refers to a plane kinematic
chain with one link fixed (assigned as the ground link). In the creative
design of mechanisms, it is important to select proper ground links.
The structural synthesis of plane kinematic chain inversions is helpful for
improving the efficiency of mechanism design. However, the existing
structural synthesis methods involve isomorphism detection, which is
cumbersome. This paper proposes a simple and efficient structural
synthesis method for plane kinematic chain inversions without detecting
isomorphism. The fifth power of the adjacency matrix is applied to recognize
similar vertices, and non-isomorphic kinematic chain inversions are directly
derived according to non-similar vertices. This method is used to
automatically synthesize 6-link 1-degree-of-freedom (DOF), 8-link 1-DOF, 8-link 3-DOF, 9-link
2-DOF, 9-link 4-DOF, 10-link 1-DOF, 10-link 3-DOF and 10-link 5-DOF plane
kinematic chain inversions. All the synthesis results are consistent with
those reported in literature. Our method is also suitable for other kinds of
kinematic chains.
Funder
National Natural Science Foundation of China
Subject
Industrial and Manufacturing Engineering,Fluid Flow and Transfer Processes,Mechanical Engineering,Mechanics of Materials,Civil and Structural Engineering,Control and Systems Engineering
Cited by
4 articles.
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