Author:
Wang Yingxian,Cui Rongjiang,Chen Jinxi
Abstract
Abstract. The isomorphism identification of the kinematic chain (KC) based
on graph theory definition has no advantage in efficiency, especially when
the number of links in the KCs is large. The topological characteristic
constants for isomorphism identification, such as the power value sequence
(PVS), least distance matrix sequence (LDMS), and loop number (LN), are
proposed. The fourth PVS, the LDMS, and the LN are compared and arranged in
descending order, to form a strong complementary chain, which can identify KCs of at least 15 links with 4 degrees of freedom (DOF). The method is applied to the complete atlas of the following: 8-link 1 DOF, 9-link 2 DOF, 10-link 1 DOF, 12-link 1 DOF, 13-link 2 DOF, and 15-link 4 DOF planar single-joint KCs, 6-link 1 DOF and 7-link 1 DOF planetary gear trains, 8-link 1 DOF planar multiple joint KCs, and contracted graphs with up to six independent loops. All results are in agreement with the reported ones in the literature. Thus, the proposed method possesses good versatility and has been verified as being reliable and efficient.
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
1 articles.
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