Determination of Permutation and Combination of Basic Links in Associated Linkage of Closed Mechanisms

doi:10.3901/JME.2016.05.130

Abstract

Abstract: Aiming at closed mechanisms with redundant constraint and passive degree of freedom, the problem of basic links permutation and combination of their associated linkages is solved. The number of basic links is solved and the arrangement form of basic links is determined using Matlab. This method avoids the missing data compared with the method of decision tree. For the same associated linkage, topology embryonic graphs are isomorphic if their arrangements of basic links are isomorphic. Selective insertion method is proposed to solve the problem of isomophic arrangement of basic links. It proves that this method can reduce the amount of computation to save computing time by Matlab program. Examples are given to illustrate auto-generation of the effective arrangement of basic links procedure and specific application. The results show that the proposed method can effectively remove isomorphic arrangement of basic links before the integration of topology embryonic graph, which ensure the effectiveness of the subsequent topology embryonic graph derived and also allow the computer to achieve.

Key words: basic link, isomorphism identification, permutation and combination, topology embryonic graph

CLC Number:

TH112

WANG Ying, LU Yi. Determination of Permutation and Combination of Basic Links in Associated Linkage of Closed Mechanisms[J]. Journal of Mechanical Engineering, 2016, 52(5): 130-136.

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